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Contents Research Articles, 67 Article(s)
Additively manufactured structures for precise and robust mounting of optical elements
Patrick Pfuhl, and Markus Degünther

The design freedom of Additive Manufacturing offers new opportunities for the design of mounting structures of optical systems, which are not feasible for conventional manufacturing approaches, thus opening up new areas of application for optical systems. We use this to develop a fully monolithic mounting structure for precise positioning of the optical elements, while simultaneously increasing their robustness against harsh environmental conditions. We additively manufacture such a mounting structure for an imaging lens and evaluate its optical performance with interferometric measurement of its wavefront, before and after applying a mechanical shock to the entire system. The results indicate a centering accuracy better than 6 μm, both in the initial positioning as well as the subsequent repositioning after a mechanical shock of 15G.

Journal of the European Optical Society-Rapid Publications
Dec. 16, 2024, Vol. 20 Issue 1 2024043 (2024)
Frequency-resolved measurement of two-color air plasma terahertz emission
Eiji Hase, Jérôme Degert, Eric Freysz, Takeshi Yasui, and Emmanuel Abraham

We investigated the far-field terahertz beam profile generated from an air plasma induced by two-color femtosecond laser pulses. Under our experimental conditions (filament length shorter than the dephasing length between the two-color pulses), using electro-optic sampling in both ZnTe (0.2–2.2 THz) and GaP (0.4–6.8 THz) crystals, and ultra-broadband ABCD technique (1–17.5 THz), we determined that the THz beam exhibits a unimodal beam pattern below 4 THz and a conical one above 6 THz. This experimental finding is consistent with theoretical studies based on the unidirectional pulse propagation equation, which predict the transition of THz emission from a flat-top profile to a conical one due to the destructive interference of THz waves emitted from the plasma filament. Our results also underscore the importance of accounting for experimental artifacts, such as photo-excited losses in silicon resulting in on-axis THz absorption along with the influence of drilled mirrors, in characterizing the complex spatial and frequency-dependent behavior of two-color plasma-induced terahertz emission.

Journal of the European Optical Society-Rapid Publications
Dec. 16, 2024, Vol. 20 Issue 1 2024042 (2024)
Anisotropy of coherent phonon in Bismuth crystal
Davide Boschetto

In this article, we investigate the coherent A1g phonon mode in bismuth crystal using transient reflectivity measurements, focusing on two distinct crystallographic orientations: one with the principal axis ((1 1 1)-direction in the trigonal cell representation) perpendicular to the sample surface, and the other with the principal axis parallel to the surface. Our results demonstrate significant variations in the amplitude, frequency, and lifetime of the coherent phonon mode between these two orientations, even when identical pumping and probing conditions are applied. We attribute these differences to the anisotropy of the electron effective mass, which influences electron mobility and, in turn, affects the phonon dynamics in bismuth.

Journal of the European Optical Society-Rapid Publications
Dec. 16, 2024, Vol. 20 Issue 1 2024041 (2024)
Design of composite optical nanofibers for new all-solid-state Raman wavelength converters
Sylvie Lebrun, Maha Bouhadida, Théo Dampt, Mathieu Fauvel, Christian Larat, Abderrahim Azzoune, Jean-Charles Beugnot, and Laurent Divay

We present the design of composite optical nanofibers (ONF) coated with thin layers of nonlinear materials, Titanium dioxyde (TiO2) and Polymethyl methacrylate (PMMA), for the realization of new all-solid Raman wavelength converters for an emission around 1.5 μm. Our simulations show that Stimulated Raman Scattering can be obtained with moderate input peak powers, typical ONF geometrical parameters, and layer thicknesses deposited which are technologically achievable: a few tens of nm for TiO2 and a few hundreds of nm for PMMA. This study enlarges the field of applications of ONF in nonlinear optics and lasers by opening the way to the coating by other materials such as doped polymers.

Journal of the European Optical Society-Rapid Publications
Dec. 16, 2024, Vol. 20 Issue 1 2024039 (2024)
PLASMONICA and JEOS-RP: A new partnership for European nanophotonics
Antonino Foti, and Attilio Zilli

Journal of the European Optical Society-Rapid Publications
Dec. 16, 2024, Vol. 20 Issue 1 2024038 (2024)
FEM analysis of a highly birefringent modified slotted core circular PCF for endlessly single mode operation across E to L telecom bands
Amit Halder, Yeasin Arafat, Imtiage Ahmed, Muhammad Ahsan, Zubairia Siddiquee, Riyad Tanshen, and Shamim Anower

This paper describes an exceptionally high birefringent modified slotted core circular photonic crystal fiber (MSCCPCF). At the 1.55 μm telecommunication wavelength, the proposed fiber structure aims to achieve exceptional birefringence performance through the thoughtful placement of air holes and the incorporation of slots. The optical properties of the proposed MSCCPCF are rigorously simulated using the finite element method (FEM). The FEM simulations show high birefringence of up to 8.795 × 10−2 at 1.55 μm. The suggested fiber exhibits single mode behavior in the E to L communication bands (Veff < 2.405). Numerous geometric factors and their effects on other optical properties, such as birefringence, beat length (17.62 μm) and dispersion coefficient (−310.8 ps/(nm · km)) have been meticulously studied. The proposed fiber’s viability and potential uses are evaluated by analyzing modal features like nonlinearity (21.76 W−1 km−1), confinement loss (5.615 × 10−11 dB/cm), and dispersion. The proposed fiber structure has potential for use in polarization-maintaining devices, sensors, and other photonic applications requiring high birefringence and tailored optical properties.

Journal of the European Optical Society-Rapid Publications
Dec. 16, 2024, Vol. 20 Issue 1 2024036 (2024)
Design approach for an advanced multi-channel pyrometer for bulk oven processes
Rune Fritzsche, Clemens F. Kaiser, and Georg Herdrich

Industrial processes such as smelting and sintering require stable and precise temperature control of furnaces. To achieve this, accurate temperature measurements are required. Pyrometry allows for contactless measurement of bulk materials and is particularly suitable for high temperature applications. One of the main influences on the accuracy of pyrometric measurements is the knowledge of the emissivity in the spectral measurement range. To reduce this dependence, two-color pyrometers or multi-color pyrometers can be used. With this in mind, the Institute of Space Systems (IRS) is further developing their existing pyrometer technology by designing an advanced multi-channel pyrometer for bulk oven processes in a joint venture with Stange Elektronik GmbH and New Generation Kilns Grün GmbH. The design approach is explained here and the considered methods of achieving emissivity independent temperature measurements are examined.

Journal of the European Optical Society-Rapid Publications
Dec. 16, 2024, Vol. 20 Issue 1 2024035 (2024)
Temperature dependence of LiTaO3 refractive index: Corrections of Sellmeier equation
Safia Mohand Ousaid, Kai H. Chang, Lung H. Peng, and Azzedine Boudrioua

We report a new and more precise Sellmeier equation obtained by using the analysis of quasi-phase-matching curves of the optical parametric generation (OPG) in 1D periodically poled LiTaO3 (1D-PPLT) of different grating periods.

Journal of the European Optical Society-Rapid Publications
Dec. 16, 2024, Vol. 20 Issue 1 2024034 (2024)
Distributed measurement of supercontinuum generation along a silica fiber taper using a confocal spectrometer
Yosri Haddad, Thibaut Sylvestre, Jean-Charles Beugnot, Samuel Margueron, and Gil Fanjoux

A highly sensitive distributed measurement technique is employed to map supercontinuum generation along a tapered silica optical fiber. This technique, which utilizes a confocal Raman micro-spectrometer, relies on analyzing far-field frequency-resolved Rayleigh scattering along the waveguide with micrometer-scale spatial resolution and high spectral resolution. Non-destructive and non-invasive, the mapping system enables observation of every stage of supercontinuum generation along the fiber cone, including cascade Raman scattering, four-wave mixing, and dispersive wave generation. Consequently, it unveils unique nonlinear spatial dynamics that are beyond the reach of standard spectral analyzers.

Journal of the European Optical Society-Rapid Publications
Dec. 16, 2024, Vol. 20 Issue 1 2024033 (2024)
Digital holographic microscopy applied to 3D computer micro-vision by using deep neural networks
Stéphane Cuenat, Jesús E. Brito Carcaño, Belal Ahmad, Patrick Sandoz, Raphaël Couturier, Guillaume J. Laurent, and Maxime Jacquot

Deep neural networks (DNNs) are increasingly employed across diverse fields of applied science, particularly in areas like computer vision and image processing, where they enhance the performance of instruments. Various advanced coherent imaging techniques, including digital holography, leverage different deep architectures like convolutional neural networks (CNN) or Vision Transformers (ViT). These architectures enable the extraction of diverse metrics such as autofocusing reconstruction distance or 3D position determination, facilitating applications in automated microscopy and phase image restitution. In this work, we propose a hybrid approach utilizing an adapted version of the GedankenNet model, coupled with a UNet-like model, for the purpose of accessing micro-objects 3D pose measurements. These networks are trained on simulated holographic datasets. Our approach achieves an accuracy of 98% in inferring the 3D poses. We show that a GedankenNet can be used as a regression tool and is faster than a Tiny-ViT (TViT) model. Overall, integrating deep neural networks into digital holographic microscopy and 3D computer micro-vision holds the promise of significantly enhancing the robustness and processing speed of holograms for precise 3D position inference and control, particularly in micro-robotics applications.

Journal of the European Optical Society-Rapid Publications
Dec. 16, 2024, Vol. 20 Issue 1 2024032 (2024)
Orbital angular momentum multiplexing architecture for OAM/SDM passive optical networks
Ahmed C. Kadhim, Sabah H. Al-Ithawi, and Ahmad S. Azzahrani

Orbital Angular Momentum (OAM) multiplexing is a technology of communication systems that enables high-capacity optical communication networks. One of the most important determinants of this technology is the channel capacity, loss of power, and Bit Error Rate (BER) accompanying the transmission. This article proposed an Orbital Angular Momentum (OAM)/Spatial Domain Multiplexing (SDM) Gigabit-capable Passive Optical Network (G-PON) architecture for a Multiple-Input Multiple-Output (MIMO) communication system that supports (OAM/SDM G-PON) technology. The proposed architecture is used to multiplex the downstream OAM channels and the upstream SDM channels, and an OAM multiplexer/demultiplexer (OAM-MUX/DEMUX) is used to multiplex and demultiplex the OAM channels. In the OAM/SDM G-PON system, the signal will propagate through three different mediums, each having its own nature in influencing the power of the signal that passes through that medium. The experiment involves bidirectional transmissions with a DS/US data rate of 2.4 Gbps and Binary Phase Shift Keying (BPSK) downstream and 1.2 Gbps upstream. The observed results showed that the bit-error rate (BER) is a function of coupling angles and increases with the increase in the OAM ring size.

Journal of the European Optical Society-Rapid Publications
Dec. 16, 2024, Vol. 20 Issue 1 2024027 (2024)
Analysis of the recording of Fibonacci lenses on photopolymers with 3-D diffusion model
J. C. Bravo, J. J. Sirvent-Verdú, J. C. García-Vázquez, A. Pérez-Bernabeu, J. Colomina-Martínez, R. Fernández, A. Márquez, and S. Gallego

In this work a three-dimensional diffusion model is used to model photopolymers as a recording media. This model allows us to predict the properties of the Diffractive Optical Elements (DOEs) once we recorded into the photopolymer. This model had never been tested with more complex elements, such as multifocal diffractive lenses, as presented in the following in this work. In addition, the model includes; the estimation of the refractive index modulation, the low-pass filtering effect due to the experimental optical setup, and the evolution of the transverse intensity distribution. In this way, the selection of the appropriate material characteristics depending on the intended DOE application is made possible. Specifically, an acrylamide-based PVA/AA photopolymer is simulated using the proposed model. Moreover, coverplating and index matching systems are considered together to avoid the effects of thickness variation. Furthermore, in order to compare their properties using the proposed model, we focus on Fibonacci lenses (FL), a type of bifocal lenses. This allows us to evaluate the dependence of the focii intensity on the polymerisation rate, the diffusivity parameter, low-pass filtering effect and the use of the index matching system for these lenses. This enables us to know the recording parameters in order to produce this type of multifocal diffractive lenses with higher quality and precision.

Journal of the European Optical Society-Rapid Publications
Dec. 16, 2024, Vol. 20 Issue 1 2024026 (2024)
Optical system design method of the all-day starlight refraction navigation system
Shaochong Wu, Hongyuan Wang, and Zhiqiang Yan

The application of starlight refraction navigation to spacecraft and space weapons is a significant development direction. Observing enough refracted stars for the star sensor in a strong limb background is an urgent problem. The all-day optical system parameters are analyzed based on the star detection requirement and navigation accuracy. Combined with primary aberration theory, the prime-focus catadioptric optical system is selected to meet the design requirements of a wide field of view (FOV) and tight structure. An H-band (1.52 μm–1.78 μm) star sensor is designed with an FOV of 6°, a focal length of 831 mm, an effective aperture of 253 mm, and a relative distortion of 0.03%. The energy concentration of the star point is 85% within 30 μm, and the maximum lateral chromatic aberration is 2.9 μm, which meets the imaging requirements. Furthermore, a baffle is designed to avoid the influence of direct sunlight on stellar imaging. The proposed method can provide a theoretical foundation and technical support for the optical design of the refraction star navigation.

Journal of the European Optical Society-Rapid Publications
Dec. 23, 2023, Vol. 19 Issue 2 2023041 (2023)
Research on highly dynamic 3D measurement method based on RGB color fringe projection
Ling Fu, and Dingshan Gao

Metal parts with highly dynamic areas often appear in industrial production measurements. However, if the traditional fringe projection technique is used to project fringe onto the surface of these metal parts, the light energy will be excessively concentrated and the image will be saturated, resulting thus in the loss of fringe information. To effectively address the high reflectivity problem of the object under test in fringe projection, background normalized Fourier transform contouring was combined with adaptive fringe projection in this work and a new method for performing highly dynamic 3D measurements was proposed. To reduce the number of the acquired images by the camera, a monochromatic fringe of different frequencies was put into the RGB channel to make color composite fringe, and then a color camera was used to acquire the deformed color composite fringe map. The images acquired by the color camera were then separated into three channels to obtain three deformed stripe maps. The crosstalk was also removed from these three images, and the 3D shape of the object was reconstructed by carrying out Fourier transform contouring with background normalization. From our experiments, it was demonstrated that the root mean square error of the proposed method can reach 0.191 mm, whereas, unlike the traditional methods, the developed method requires four images.

Journal of the European Optical Society-Rapid Publications
Dec. 23, 2023, Vol. 19 Issue 2 2023040 (2023)
Atom-field system: Effects of squeezing and intensity dependent coupling on the quantum coherence and nonclassical properties
Mariam Algarni, Kamal Berrada, and Sayed Abdel-Khalek

Recently, Kumar Gerry et al. [Phys. Rev. A 90, 033427 (2014) https://doi.org/10.1103/PhysRevA.90.033427] studied the coherence control in a six-level atom through solving the Schrödinger equation in the field-interaction representation. In this manuscript, we investigate the interaction between a six-level atomic system (SLAS) and a single-mode field initially prepared in a squeezed coherent state. We extend the Jeans–Cummings model to describe the interaction between the atom and the squeezed field (SF) and the system dynamics. We examine the time evolution of the atomic coherence, non-local correlation, statistical properties within the bipartite system in the presence and absence intensity-dependent coupling (I-DC) for different squeezing regimes of the field.

Journal of the European Optical Society-Rapid Publications
Dec. 23, 2023, Vol. 19 Issue 2 2023039 (2023)
Chirped gap solitons with Kudryashov’s law of self-phase modulation having dispersive reflectivity
Khalil S. Al-Ghafri, Mani Sankar, Edamana V. Krishnan, Anjan Biswas, and Asim Asiri

The present study is devoted to investigate the chirped gap solitons with Kudryashov’s law of self-phase modulation having dispersive reflectivity. Thus, the mathematical model consists of coupled nonlinear Schrödinger equation (NLSE) that describes pulse propagation in a medium of fiber Bragg gratings (BGs). To reach an integrable form for this intricate model, the phase-matching condition is applied to derive equivalent equations that are handled analytically. By means of auxiliary equation method which possesses Jacobi elliptic function (JEF) solutions, various forms of soliton solutions are extracted when the modulus of JEF approaches 1. The generated chirped gap solitons have different types of structures such as bright, dark, singular, W-shaped, kink, anti-kink and Kink-dark solitons. Further to this, two soliton waves namely chirped bright quasi-soliton and chirped dark quasi-soliton are also created. The dynamic behaviors of chirped gap solitons are illustrated in addition to their corresponding chirp. It is noticed that self-phase modulation and dispersive reflectivity have remarkable influences on the pulse propagation. These detailed results may enhance the engineering applications related to the field of fiber BGs.

Journal of the European Optical Society-Rapid Publications
Dec. 23, 2023, Vol. 19 Issue 2 2023038 (2023)
Determination of scattering coefficient and scattering anisotropy factor of tissue-mimicking phantoms using line-field confocal optical coherence tomography (LC-OCT)
Léna Waszczuk, Jonas Ogien, Frédéric Pain, and Arnaud Dubois

Line-field Confocal Optical Coherence Tomography (LC-OCT) is an imaging modality based on a combination of time-domain optical coherence tomography and reflectance confocal microscopy. LC-OCT provides three-dimensional images of semi-transparent samples with a spatial resolution of ∼1 μm. The technique is primarily applied to in vivo skin imaging. The image contrast in LC-OCT arises from the backscattering of incident light by the sample microstructures, which is determined by the optical scattering properties of the sample, characterized by the scattering coefficient μs and the scattering anisotropy factor g. In biological tissues, the scattering properties are determined by the organization, structure and refractive indexes of the sample. The measurement of these properties using LC-OCT would therefore allow a quantitative characterization of tissues in vivo. We present a method for extracting the two scattering properties μs and g of tissue-mimicking phantoms from 3D LC-OCT images. The method provides the mean values of μs and g over a lateral field of view of 1.2 mm × 0.5 mm (x × y). It can be applied to monolayered and bilayered samples, where it allows extraction of μs and g of each layer. Our approach is based on a calibration using a phantom with known optical scattering properties and on the application of a theoretical model to the intensity depth profiles acquired by LC-OCT. It was experimentally tested against integrating spheres and collimated transmission measurements for a set of monolayered and bilayered scattering phantoms.

Journal of the European Optical Society-Rapid Publications
Dec. 23, 2023, Vol. 19 Issue 2 2023037 (2023)
Dynamical system of optical soliton parameters by variational principle (super-Gaussian and super-sech pulses)
Elsayed M.E. Zayed, Mahmoud El-Horbaty, Mohamed E.M. Alngar, Reham M.A. Shohib, Anjan Biswas, Yakup Yıldırım, Luminita Moraru, Catalina Iticescu, Dorin Bibicu, Puiu Lucian Georgescu, and Asim Asiri

The parameter dynamics of super-sech and super-Gaussian pulses for the perturbed nonlinear Schrödinger’s equation with power-law nonlinearity is obtained in this article. The variational principle successfully recovers this dynamical system. The details of the variational principle with the implementation of the Euler–Lagrange’s equation to the nonlinear Schrödinger’s equation with power-law of nonlinearity described in this paper have not been previously reported.

Journal of the European Optical Society-Rapid Publications
Dec. 23, 2023, Vol. 19 Issue 2 2023035 (2023)
Special commemorative issue from the general world congress ICO-25-OWLS-16-Dresden-Germany-2022-Advancing Society with Light
Juergen W Czarske, Nektarios Koukourakis, and Lars Buettner

Journal of the European Optical Society-Rapid Publications
Dec. 23, 2023, Vol. 19 Issue 2 2023033 (2023)
Medical femtosecond laser
Karsten König

Medical femtosecond laser devices are used in dermatology for non-linear high-resolution imaging to obtain non-invasive and label-free optical skin biopsies (multiphoton tomography) as well as in ophthalmology for refractive corneal surgery and cataract surgery. Applications of commercial certified multiphoton tomographs include early detection of skin cancer within minutes by two-photon autofluorescence imaging of coenzymes and melanin and second harmonic imaging of collagen as well as by testing the efficacy of pharmaceutical and cosmetical products. Goals are (i) to reduce the number of physically taken human skin biopsies in hospitals and research institutions, (ii) to optimize personalized medicine, and (iii) to reduce animal studies in pharmacy. Current diagnostic tools in dermatology include surface microscopy with a dermatoscope and ultrasound but have poor resolution. Optical coherence tomography and confocal reflectance microscopy have better resolution but provide limited information based on changes of the intratissue refractive index. Multiphoton tomography provides the best resolution of all clinical imaging methods and offer functional imaging such as optical metabolic imaging based on autofluorescence lifetime imaging. Goals of femtosecond laser eye treatment are (i) the replacement of mechanical microkeratomes for corneal flap generation, (ii) the replacement of the UV nanosecond excimer laser for stroma removal, and (iii) to replace, in part, the scalpel in the surgery of cataracts and other eye diseases. So far, millions of eye treatments have been conducted around the world. The major disadvantage of current certified medical femtosecond laser devices is the high price compared with the standard mechanical and optical medical devices.

Journal of the European Optical Society-Rapid Publications
Dec. 15, 2023, Vol. 19 Issue 2 2023032 (2023)
Optical solitons and conservation laws for the concatenation model with spatio-temporal dispersion (internet traffic regulation)
Ahmed H. Arnous, Anjan Biswas, Abdul H. Kara, Yakup Yıldırım, Luminita Moraru, Catalina Iticescu, Simona Moldovanu, and Abdulah A. Alghamdi

This paper presents optical solitons with the concatenation model having spatio-temporal and chromatic dispersions. This model can advantageously curtail the Internet bottleneck effect. Two integration schemes yield these solitons. By utilizing the multipliers approach, the conservation laws are also derived.

Journal of the European Optical Society-Rapid Publications
Dec. 23, 2023, Vol. 19 Issue 2 2023031 (2023)
Design and realization of a miniaturized high resolution computed tomography imaging spectrometer
Simon Amann, Tobias Haist, Alexander Gatto, Markus Kamm, and Alois Herkommer

The computed tomography imaging spectrometer (CTIS) is a relatively unknown snapshot hyperspectral camera. It utilizes computational imaging approaches to gain the hyperspectral image from a spatio-spectral smeared sensor image. We present a strongly miniaturized system with a dimension of only 36 × 40.5 × 52.8 mm and a diagonal field of view of 29°. We achieve this using a Galilean beam expander and a combination of off-the-shelf lenses, a highly aspherical imaging system from a commercial smartphone, and a 13 MP monochrome smartphone image sensor. The reconstructed hyperspectral image has a spatial resolution of 400 × 300 pixel with 39 spectral channels.

Journal of the European Optical Society-Rapid Publications
Dec. 23, 2023, Vol. 19 Issue 2 2023027 (2023)
Data-driven development of sparse multi-spectral sensors for urological tissue differentiation
Felix Fischer, Karsten Frenner, Massimo Granai, Falko Fend, and Alois Herkommer

Infrared spectroscopy is often used to spot differences between benign and malignant tissue. Due to the proliferation of tumorous cells, the composition of tissue changes drastically. In the consequence shifts occur in its optical properties that are indicated by spectral biomarkers in the so-called fingerprint region. In this work, we propose a new concept for a sparsified multi-spectral measurement of the most important and informative biomarker signals. The results of a data-driven feature selection approach show that a reliable discrimination of the tissue is still possible, even though utilizing only a small fraction of the measured data. A selected arrangement of only a few narrow-band quantum cascade lasers could provide proficient signal-to-noise ratios and can noticeably reduce the data acquisition time. Consequentially, real-time applications will be possible in short-term and in-vivo diagnostics in the long-term. First measurements of silicone phantoms validate the imaging capability of the sensor concept.

Journal of the European Optical Society-Rapid Publications
Aug. 08, 2023, Vol. 19 Issue 1 2023030 (2023)
Experimental and numerical polarization analysis of the 3D transfer behavior in microsphere-assisted interferometry for 1D phase gratings
Lucie Hüser, Tobias Pahl, and Peter Lehmann

Enhancing the lateral resolution in optical microscopy and interferometry is of great interest in recent research. In order to laterally resolve structures including feature dimensions below the Abbe resolution limit, microspheres in the optical near-field of the specimen are shown to locally improve the resolution of the imaging system. Experimental and simulated results following this approach are obtained by a high NA Linnik interferometer and analyzed in this contribution. They show the reconstructed surface of a 1D phase grating below the resolution limit. For further understanding of the transfer characteristics, measured interference data are compared with FEM (finite element method) based simulations with respect to the polarization dependency of the relevant image information for 1D phase gratings. Therefore, the implemented Koehler illumination as well as the experimental setup utilize polarized light.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023029 (2023)
Brillouin scattering spectroscopy for studying human anatomy: Towards in situ mechanical characterization of soft tissue
Paata Pruidze, Elena Chayleva, Wolfgang J. Weninger, and Kareem Elsayad

Brillouin light scattering (BLS) spectroscopy is a label-free method of measuring the GHz-frequency viscoelastic properties. The measured longitudinal modulus is acutely sensitive to the degree of hydration, crosslinking, and temperature, which can be indicative of tissue health. As such, performing in situ measurements on humans is particularly desirable for exploring potential clinical translation, however, is not possible with existing designs which are coupled to bench-top microscopes. Here we introduce a robust fiber coupled hand-held BLS probe and demonstrate its reliability for measuring excised human tissue. We verify its accuracy using confocal BLS microscopy and further show that it is possible to distinguish veins, arteries, nerves and muscles based on their BLS-measured viscoelasticity. This provides a necessary first step towards in situ clinical BLS viscoelasticity studies of human tissue.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023028 (2023)
Accurate calibration of optical tweezers close to a glass surface using interference rings in backscattered light
Flavie Gillant, Julien Moreau, Maximilian U. Richly, Antigoni Alexandrou, Karen Perronet, and Nathalie Westbrook

Mechanical forces play an important role in the behaviour of cells, from differentiation to migration and the development of diseases. Optical tweezers provide a quantitative tool to study these forces and must be combined with other tools, such as phase contrast and fluorescence microscopy. Detecting the retro-reflected trap beam is a convenient way to monitor the force applied by optical tweezers, while freeing top access to the sample. Accurate in situ calibration is required especially for single cells close to a surface where viscosity varies rapidly with height. Here, we take advantage of the well contrasted interference rings in the back focal plane of the objective to find the height of a trapped bead above a cover slip. We thus map the viscous drag dependence close to the surface and find agreement between four different measurement techniques for the trap stiffness down to 2 μm above the surface. Combining this detection scheme with phase contrast microscopy, we show that the phase ring in the back focal plane of the objective must be deported in a conjugate plane on the imaging path. This simplifies implementation of optical tweezers in combination with other techniques for biomechanical studies.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023026 (2023)
Chirped gap solitons in fiber Bragg gratings with polynomial law of nonlinear refractive index
Khalil S. Al-Ghafri, Mani Sankar, Edamana V. Krishnan, Salam Khan, and Anjan Biswas

The objective of the present study is to examine the behaviors of chirped optical solitons in fiber Bragg gratings (BGs) with dispersive reflectivity. The form of nonlinear refractive index represents polynomial law nonlinearity. By virtue of phase-matching condition, the discussed model of coupled nonlinear Schrödinger equation is reduced to an integrable form. Consequently, chirped optical solitons having various profiles such as W-shaped, bright, dark, kink and anti-kink solitons are derived. Further to this, the chirp associated with these soliton structures are extracted. The impact of dispersive reflectivity, self-phase modulation and cross-phase modulation on the pulse propagation is investigated and it is induced that the changes of self-phase modulation and cross-phase modulation cause a marked rise in soliton amplitude which is subject to minor variations by dispersive reflectivity. The physical evolutions of chirped optical solitons are described along with the corresponding chirp to pave the way for possible applications in the field of fiber BGs.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023025 (2023)
Two-wavelength digital holography through fog
Alexander Gröger, Giancarlo Pedrini, Felix Fischer, Daniel Claus, Igor Aleksenko, and Stephan Reichelt

Interferometric detection enables the acquisition of the amplitude and phase of the optical field. By making use of the synthetic wavelength as a computational construct arising from digital processing of two off-axis digital holograms, it is possible to identify the shape of an object obscured by fog and further increase the imaging range due to the increased sensitivity in coherent detection. Experiments have been conducted inside a 27 m long fog tube filled with ultrasonically generated fog. We show the improved capabilities of synthetic phase imaging through fog and compare this technique with conventional active laser illumination imaging.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023024 (2023)
Evaluation of a time-gated-single-pixel-camera as a promising sensor for autonomous vehicles in harsh weather conditions
Claudia Monika Bett, Max Daiber-Huppert, Karsten Frenner, and Wolfgang Osten

We propose a time-gated-single-pixel-camera as a promising sensor for image-free object detection for automotive application in adverse weather conditions. By combining the well-known principles of time-gating and single-pixel detection with neural networks, we aim to ultimately detect objects within the scene rapidly and robustly with a low-cost sensor. Here, we evaluate the possible data reduction such a system can provide compared to a conventional time-gated camera.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023023 (2023)
Linearly modulated multi-focal diffractive lens for multi-sheet excitation of flow driven samples in a light-sheet fluorescence microscope
Meike Hofmann, Shima Gharbi Ghebjagh, Yuchao Feng, Chao Fan, Karen Lemke, and Stefan Sinzinger

Light sheet fluorescence microscope with single light sheet illumination enables rapid 3D imaging of living cells. In this paper we show the design, fabrication and characterization of a diffractive optical element producing several light sheets along a 45° inclined tube. The element, which is based on a multi-focal diffractive lens and a linear grating, generates five thin light sheets with equal intensities when combined with a refractive cylindrical lens. The generated uniform light sheets can be applied for the scanning of samples in tubes enabling flow-driven 3-dimensional imaging.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023022 (2023)
Fluorescence for non-contact detection of living salmon lice on salmon skin
Kari Anne Hestnes Bakke, Trine Kirkhus, and Jon Tschudi

This work presents a promising method for automatic, non-contact, detection and counting of salmon lice infested on salmon in an aquacultural farm setting. The method uses fluorescence from chitin in the visual part of spectrum to enhance the contrast between fish skin and salmon lice, and show that the fluorescence is even strong enough to give a real-time view of the digestive and reproduction system in live lice without use of staining dyes. The wavelengths used are compatible with an underwater measurement system.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023021 (2023)
Intelligent self calibration tool for adaptive few-mode fiber multiplexers using multiplane light conversion
Dennis Pohle, Fabio A. Barbosa, Filipe M. Ferreira, Jürgen Czarske, and Stefan Rothe

Space division multiplexing (SDM) is promising to enhance capacity limits of optical networks. Among implementation options, few-mode fibres (FMFs) offer high efficiency gains in terms of integratability and throughput per volume. However, to achieve low insertion loss and low crosstalk, the beam launching should match the fiber modes precisely. We propose an all-optical data-driven technique based on multiplane light conversion (MPLC) and neural networks (NNs). By using a phase-only spatial light modulator (SLM), spatially separated input beams are transformed independently to coaxial output modes. Compared to conventional offline calculation of SLM phase masks, we employ an intelligent two-stage approach that considers knowledge of the experimental environment significantly reducing misalignment. First, a single-layer NN called Model-NN learns the beam propagation through the setup and provides a digital twin of the apparatus. Second, another single-layer NN called Actor-NN controls the model. As a result, SLM phase masks are predicted and employed in the experiment to shape an input beam to a target output. We show results on a single-passage configuration with intensity-only shaping. We achieve a correlation between experiment and network prediction of 0.65. Using programmable optical elements, our method allows the implementation of aberration correction and distortion compensation techniques, which enables secure high-capacity long-reach FMF-based communication systems by adaptive mode multiplexing devices.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023020 (2023)
Switchable optics based on guided mode resonance in lithographically patterned vanadium dioxide with integrated heating layer
Markus Walther, Thomas Siefke, Kristin Gerold, and Uwe D. Zeitner

Vanadium dioxide (VO2) has promising applications in smart windows and active micro-optical devices due to its thermochromic properties. However, the successful fabrication and patterning of VO2 thin films with the correct stoichiometry and phase are challenging. In this study, we investigated lithographically patterned and non-patterned VO2 thin films fabricated by reactive ion beam deposition, using variable angle spectroscopic ellipsometry, Raman spectroscopy, and transmission and reflection measurements. The results show that the refractive index and extinction coefficient exhibit significant changes for near-infrared wavelengths when heated above 68 °C, confirming its thermochromic properties. The Raman spectroscopy results indicate the formation of the monoclinic phase VO2(M) after annealing, which was not changed by reactive ion etching. Lithographically structured VO2-layers were successfully realized demonstrating the potential of VO2 as a material for active micro-optical devices, such as guided mode resonance filters with switchable reflectance. The results suggest that VO2 has great potential as a promising material for actively switched optical elements and micro-optical devices.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023019 (2023)
Application of imaging ellipsometry and white light interference microscopy for detection of defects in epitaxially grown 4H–SiC layers
Elena Ermilova, Matthias Weise, and Andreas Hertwig

Critical defects, also known as device killers, in wide bandgap semiconductors significantly affect the performance of power electronic devices. We used the methods imaging ellipsometry (IE) and white light interference microscopy (WLIM) in a hybrid optical metrology study for fast and non-destructive detection, classification, and characterisation of defects in 4H–SiC homoepitaxial layers on 4H–SiC substrates. Ellipsometry measurement results are confirmed by WLIM. They can be successfully applied for wafer characterisation already during production of SiC epilayers and for subsequent industrial quality control.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023018 (2023)
Field evaluation of a novel holographic single-image depth reconstruction sensor
Simon Hartlieb, Christian Schober, Tobias Haist, and Stephan Reichelt

A camera-based single-image sensor is presented, that is able to measure the distance of one or multiple object points (light emitters). The sensor consists of a camera, whose lens is upgraded with a diffractive optical element (DOE). It fulfils two tasks: adding a vortex point spread function (PSF) and replication of the vortex PSFs to a predefined pattern of K spots. Both, shape and rotation of the vortex PSF is sensitive to defocus. The sensor concept is presented and its capabilities evaluated both on axis and off-axis. The achieved standard deviation of the error ranges between 8.5 μm (on-axis) and 3.5 μm (off-axis) within a measurement range of 20 mm. However, as soon as calibration and measurement position no longer match, the accuracy is limited. An analysis of the effects responsible for this are also part of the publication.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023017 (2023)
Kinematically engaged yoke system for segmented lens-based space telescope integration and testing
Marcos Esparza, Heejoo Choi, Nicholas Brar, Zichan Wang, Youngsik Kim, Chuck Fellows, Mingab Bog, Gunhee Kim, Allen Yi, Tom D. Milster, Dániel Apai, and Daewook Kim

One of the most profound and philosophically captivating foci of modern astronomy is the study of Earth-like exoplanets in the search for life in the Universe. The paradigm-shifting investigation described here calls for a new type of scalable space telescope that redefines the available light-collecting area in space. The Nautilus Space Observatory, enabled by multiple-order diffractive optics (the MODE lens), is ushering in the advent of large space telescope lenses designed to search for biosignatures on a thousand exo-earths. The Kinematically Engaged Yoke System (KEYS) was developed to align a segmented version of the MODE lens. A technology demonstration prototype of KEYS was built and tested using scanning white light interferometry and deflectometry. A deflectometry system was also developed to monitor the closed-loop alignment of the segmented MODE lens during its UV (i.e., Ultraviolet) curing.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023016 (2023)
Convolutional neural network optimisation to enhance ESPI fringe visibility
José Manuel Crespo, and Vicente Moreno

The use of convolutional neuronal networks (CNN) for the treatment of interferometric fringes has been introduced in recent years. In this paper, we optimize and build a CNN model, based U-NET architecture, to maximize its performance processing electronic speckle interferometry fringes (ESPI). The proposed approach is based on quick and light trainings to select the architecture parameters (network depth and kernel sizes) to maximize the performance of the neural network improving the visibility of ESPI images. To measure the performance, the structural similarity index (SSMI) will be the lead indicator, and the need for large datasets to train neural networks, unavailable for ESPI images, forces the use of a simulated ESPI image dataset along the process. This dataset is computed using Zernike polynomials to simulate local surface deformations in the specimen under test and simulated true speckle fields for the reference and object field involved in ESPI techniques.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023015 (2023)
Modelling surface light scattering for inverse two-dimensional reflector design
Vì Cecilia Erik Kronberg, Martijn J.H. Anthonissen, Jan H.M. ten Thije Boonkkamp, and Wilbert L. IJzerman

We present a novel approach of modelling surface light scattering in the context of two-dimensional reflector design, relying on energy conservation and optimal transport theory. For isotropic scattering in cylindrically or rotationally symmetric systems with in-plane scattering, the scattered light distribution can be expressed as a convolution between a scattering function, which characterises the optical properties of the surface, and a specular light distribution. Deconvolving this expression allows for traditional specular reflector design procedures to be used, whilst accounting for scattering. This approach thus constitutes solving the inverse problem of light scattering, allowing for direct computation of the reflector surface, without the need for design iterations.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023014 (2023)
Method for assessing the impact of residual roughness after corneal ablation simulated as random and filtered noise in polychromatic vision
Shwetabh Verma, Juergen Hesser, and Samuel Arba-Mosquera

Purpose: Despite theoretical models for achieving laser-based ablation smoothness, methods do not yet exist for assessing the impact of residual roughness after corneal ablation, on retinal polychromatic vision. We developed a method and performed an exploratory study to qualitatively and quantitatively analyze the impact of varying degree of corneal roughness simulated through white and filtered noise, on the retinal image. Methods: A preliminary version of the Indiana Retinal Image Simulator (IRIS) [Jaskulski M., Thibos L., Bradley A., Kollbaum P., et al. (2019) IRIS – Indiana Retinal Image Simulator. https://blogs.iu.edu/corl/iris] was used to simulate the polychromatic retinal image. Using patient-specific Zernike coefficients and pupil diameter, the impact of different levels of chromatic aberrations was calculated. Corneal roughness was modeled via both random and filtered noise [(2013) Biomed. Opt. Express4, 220–229], using distinct pre-calculated higher order Zernike coefficient terms. The outcome measures for the simulation were simulated retinal image, Strehl Ratio and Visual Strehl Ratio computed in frequency domain (VSOTF). The impact of varying degree of roughness (with and without refractive error), spatial frequency of the roughness, and pupil dilation was analyzed on these outcome measures. Standard simulation settings were pupil size = 6 mm, Defocus Z[2, 0] = 2 μm (−1.54D), and Spherical Aberrations Z[4, 0] = 0.15 μm. The signal included the 2–4th Zernike orders, while noise used 7–8th Zernike orders. Noise was scaled to predetermined RMS values. All the terms in 5th and 6th Zernike order were set to 0, to avoid overlapping of signal and noise. Results: In case of a constant roughness term, reducing the pupil size resulted in improved outcome measures and simulated retinal image (Strehl = 0.005 for pupil size = 6 mm to Strehl = 0.06 for pupil size = 3 mm). The calculated image quality metrics deteriorated dramatically with increasing roughness (Strehl = 0. 3 for no noise; Strehl = 0.03 for random noise of 0.25 μm at 6 mm diameter; Strehl = 0.005 for random noise of 0.65 μm at 6 mm diameter). Clear distinction was observed in outcome measures for corneal roughness simulated as random noise compared to filtered noise, further influenced by the spatial frequency of filtered noise. Conclusion: The proposed method enables quantifying the impact of residual roughness in corneal ablation processes at relatively low cost. Since normally laser ablation is an integral process divided on a defined grid, the impact of spatially characterized noise represents a more realistic simulation condition. This method can help comparing different refractive laser platforms in terms of their associated roughness in ablation, indirectly improving the quality of results after Laser vision correction surgery.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023013 (2023)
Digital speckle photography in the presence of displacement gradients
León Schweickhardt, Andreas Tausendfreund, Dirk Stöbener, and Andreas Fischer

Digital speckle photography is a displacement field measurement method that employs laser speckles as surface markers. Since the approach requires only one reference image without a preparation of the sample and provides a fast, single-shot measurement with interferometric precision, the method is applied for in-process measurements in manufacturing engineering. Due to highly localized loads, higher-order displacement gradients occur in manufacturing processes and it is an open research question how these gradients affect the measurement errors of digital speckle photography. We simulate isotropic Gaussian surface topographies, apply a displacement field and then generate laser speckle patterns, which are evaluated with digital image correlation and subsequently the resulting random and systematic errors of the displacement field are analyzed. We found that the random error is proportional to the first-order displacement gradient and results from decorrelation of the laser speckles. The systematic error is mainly caused by the evaluation algorithm and is linearly dependent on the second-order gradient and the subset size. We evaluated in-process displacement measurements of laser hardening, grinding and single-tooth milling where we determined the relative error caused by displacement gradients to be below 2.5% based on the findings from the simulative study.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023012 (2023)
Scalable sub-cycle pulse generation by soliton self-compression in hollow capillary fibers with a decreasing pressure gradient
Marina Fernández Galán, Enrique Conejero Jarque, and Julio San Roman

Advances in the generation of the shortest optical laser pulses down to the sub-cycle regime promise to break new ground in ultrafast science. In this work, we theoretically demonstrate the potential scaling capabilities of soliton self-compression in hollow capillary fibers with a decreasing pressure gradient to generate near-infrared sub-cycle pulses in very different dispersion and nonlinearity landscapes. Independently of input pulse, gas and fiber choices, we present a simple and general route to find the optimal self-compression parameters which result in high-quality pulses. The use of a decreasing pressure gradient naturally favors the self-compression process, resulting in shorter and cleaner sub-cycle pulses, and an improvement in the robustness of the setup when compared to the traditional constant pressure approach.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023011 (2023)
Sorting microplastics from other materials in water samples by ultra-high-definition imaging
Kai-Erik Peiponen, Boniphace Kanyathare, Blaž Hrovat, Nikolaos Papamatthaiakis, Joni Hattuniemi, Benjamin Asamoah, Antti Haapala, Arto Koistinen, and Matthieu Roussey

In this study a commercial particle analyzer was used to image and help sorting microplastic particles (MPs) dispersed in filtrated and de-aerated tap water. The device provides a relatively easy and fast procedure for obtaining ultra-high-definition imaging, allowing the determination of shape, size, and number of 2D-projections of solid particles. The image analysis revealed clear differences among the studied different MPs originating from the grinding of five common grades of plastic sheets as they affect the image rendering differently, principally due to the light scattering either at the surface or in the volume of the microplastics. The high-quality imaging of the device also allows the discrimination of the microplastics from air bubbles with well-defined spherical shapes as well as to obtain an estimate of the size of MPs in a snapshot. We associate the differences among the shapes of the identified MPs in this study depending on the plastic type with known physical properties, such as brittleness, crystallinity, or softness. Furthermore, as a novel method we exploit a parameter based on the light intensity map from moving particles in cuvette flow to sort MPs from other particles, such as, wood fiber, human hair, and air bubbles. Using the light intensity map, which is related to the plastic-water refractive index ratio, the presence of microplastics in water can be revealed among other particles, but not their specific plastic type.

Journal of the European Optical Society-Rapid Publications
Aug. 29, 2023, Vol. 19 Issue 1 2023010 (2023)
DC pulsed plasma magnetron sputtering of CdO/Cu/CdO multilayers thin films for self-cleaning and optoelectronic applications
Alzahra A. Abd El-Moula, Mohamed Raaif, Fayez El-Hossary, and Mohamed Abo El-Kassem

In this study, CdO/Cu/CdO multilayers thin films were organized on glass substrates with different Cu intermetallic layer thickness engaging DC plasma magnetron sputtering. The optoelectronic properties and structural characteristics of the multilayers at various Cu intermetallic layer thicknesses which were varied from 4 to 16 nm were explored. The calculated band gap was reduced from 2.66 eV to 2.48 eV as the Cu intermetallic layer thickness increased from 4 to 16 nm. The refractive index and coefficient of extinction of CdO/Cu/CdO multilayers increased with increasing the Cu intermetallic layer thickness. The resistivity is reduced from 1.8 × 10−2 Ω cm for CdO single layer to reach a value of 2.7 × 10−4 Ω cm for CdO/Cu (16 nm)/CdO multilayer. Further, the sheet resistance is decreased from 1000 to 13.8 Ω/sq. with the variation in Cu intermetallic layer thickness from 0 to 16 nm. CdO/Cu (4 nm)/CdO multilayer film recorded the best figure of merit (2.3 × 10−4 Ω−1). After sunlight illumination for the multilayers, the surface wettability was improved and the contact angle recorded lowest value of nearly 24° for CdO/Cu (8 nm)/CdO and CdO/Cu (12 nm)/CdO.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023009 (2023)
Novel time-resolved CARS implementation for application in microscopy
Pieter H. Neethling, Ruan Viljoen, Alexander M. Heidt, Dirk Spangenberg, Thomas Feurer, and Erich G. Rohwer

Vibrational dephasing times for benzene and carbon disulfide are measured using a custom single-beam Coherent Anti-Stokes Raman Spectroscopy (CARS) setup. A femtosecond oscillator is used to pump a polarization maintaining all normal dispersion photonic crystal fibre (PM-ANDi-PCF) to generate a broad band supercontinuum, covering a spectral region from 680 to 900 nm. The dispersion properties of the PM-ANDi-PCF ensures the supercontinuum is stable and there exists a fixed phase relationship between the spectral components of the supercontinuum. This enables its temporal compression using i2PIE, implemented using a liquid crystal spatial light modulator (SLM) in a 4f geometry. This SLM is also used to shape the pulse spectrally and temporally. With this setup we could demonstrate time-resolved CARS, measuring the vibrational relaxation times of a carbon disulfide (CS2)/benzene mixture, and eliminate the non-resonant background completely. The main advantage of this setup is the fact that it is a single beam technique, eliminating the requirement for aligning the overlap of the pump and probe, both spatially and temporally, in the focal plane of the microscope. The strengths and limitations of the technique are highlighted and the route to time-resolved/background free vibrational microscopy is proposed.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023008 (2023)
Monitoring and meaning of vibrations in robot polishing
Max Schneckenburger, Rui Almeida, Sven Höfler, Ines Braga, and Rainer Börret

Robot polishing is increasingly used in the production of high-end glass work pieces such as astronomy mirrors, lithography lenses, laser gyroscopes or high-precision coordinate measuring machines. The quality of optical components such as lenses or mirrors can be described by shape errors and surface roughness. Whilst the trend towards sub nanometre level surfaces finishes and features progresses, matching both form and finish coherently in complex parts remains a major challenge. With larger or more precise optics, the influence of process instabilities on the quality of the optics to be polished has a greater impact. Vibrations at a polishing head have a negative influence on the polishing result. These vibrations are caused by bearing damage, motors and other excitations (e.g. gears, belts). The aim of this work is the determination of vibrations at a polishing head and their avoidance strategies. Different bearing conditions are considered: new and perfect bearing, a bearing that has been in contact with polish (rust) and a bearing with repeatable damage (groove milled on the running surface). It can be shown that the frequencies of bearings affect the polishing tool. Furthermore, reasons for and against vibrations in the process are discussed. For the case of vibrationless machining, avoidance strategies were presented.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023007 (2023)
Transient optical simulation by coupling elastic multibody systems, finite elements, and ray tracing
Luzia Hahn, Fabian Matter, and Peter Eberhard

Transient dynamical–thermoelastic–optical system simulation is an important expansion of classical ray tracing through rigid, resting lenses because the operating performance of high-precision optical systems can be influenced by dynamical excitations or thermal gradients. In this paper an approach for an integrated optical system simulation using the coupling of elastic multibody system simulations, thermoelastic finite element analysis and gradient-index ray tracing is presented. Transient mechanical rigid body motions and elastic deformations, thermally induced refraction index changes, and thermal elastic deformations can be considered simultaneously in the ray tracing using the presented method. The calculation of the dynamical and thermal disturbances, the data transfer and coupling, and the gradient index ray tracing method are introduced. Finally, the approach is applied on a transient triplet lens optical system and some investigation results are shown.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023006 (2023)
Environmental pollution detection: A novel chirped spectral modulation algorithm for a more accurate monitoring of gas pollutants in the atmosphere
Mohamed Shalaby, and Fawzi S. Alorifi

This work presents a new technique based on modulating the IR absorbance of each substance in a mixture in a chirped manner to reduce the effect of their partial spectral absorption overlap on the accuracy of determining their concentrations. This chirped spectral modulation CSM algorithm can deal with mixtures containing unknown substances rather than the substances whose concentrations are aimed. This novel algorithm, when compared to existing pattern recognition techniques, makes it easy to analyze the constituents of a mixture with high accuracy in the presence of traces of unknown components. It is found that the new algorithm can detect the presence of gas pollutants such as sulfur dioxide, carbon monoxide, carbon dioxide, nitrogen dioxide in a sample containing many other unknown polluting substances. This new algorithm is tested on air samples composed of predetermined percentages of air constituents and the results of calculations are compared with those of classical least squares CLS pattern recognition algorithm. The comparison showed that the new algorithm can detect down to very small traces of harmful gases such as NO2, and SO2, at least one order of magnitude less than those detected by the CLS approach. Finally, the new algorithm is used to examine collected air samples from an industrial zone, and in the middle and at the exit of a road tunnel in Riyadh area which showed that the percentages of sulfur dioxide, nitrogen dioxide, and carbon monoxide are well below the safe levels.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023005 (2023)
Wide band UV/Vis/NIR blazed-binary reflective gratings for spectro-imagers: two lithographic technologies investigation
Mane-Si Laure Lee, Julie Cholet, Anne Delboulbé, Raphaël Guillemet, Brigitte Loiseaux, Patrick Garabédian, Thomas Flügel-Paul, Tino Benkenstein, Susann Sadlowski, Nicolas Tetaz, Roman Windpassinger, and Ana Baselga Mateo

We report on subwavelength reflective gratings for hyperspectral applications operating in a very large spectral band (340–1040 nm). Our study concerns a blazed-binary grating having a period of 30 μm and composed of 2D subwavelength structures with size from 120 nm to 350 nm. We demonstrate the manufacturing of the gratings on 3″ wafers by two lithography technologies (e-beam and nanoimprint) followed by classical dry etching process. Optical measurements show that the subwavelength grating approach enables a broadband efficiency, polarization behaviour and wavefront quality improvement with respect to the requirements for the next generation of spectro-imagers for Earth observation missions. An outlook towards spherical substrate based on nanoimprint lithography is also reported with the results of mixed features replication (holes and pillars in the range of 160–330 nm) on a 540 mm concave substrate which demonstrate uniformity and accuracy capabilities over 3″ surface.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023004 (2023)
An attempt to apply laser combustion to palm waste
Fatima M. Awad, Yousef A. Alsabah, Ali A.S. Marouf, and Mohammed U. Orsod

The focus of this study was to develop a method to demonstrate the feasibility of obtaining useful and high-value resources from Phoenix dactylifera residues and, to determine the physical and chemical properties of the ash of dates-palm-tree remains. Date-palm leaves and fiber samples were combusted for 50 s, using an Nd: YAG laser with 40 W output power. It was found, that combustion of one gram of agricultural waste could be completed in 50 s and 40 W by laser while 10 g required 1.5–10 min and 300–800 W power by microwave and at least 2 h with 1500 W power for conventional heating for 10 g. The subjects of this treatment, the leaves and fiber samples, before and after combustion were investigated by X-Ray Diffraction (XRD) and Fourier Transform Infrared (FTIR). The XRD results of the palm-fiber after combustion reveal that the samples were crystallized with a rhombohedral phase of acetamide and hatrurite, orthorhombic finite, and Ca4Si2O6(CO3)(OH)2, and a monoclinic phase of ikaite properties. The XRD patterns of palm-leaf after combustion reveal that the samples were crystallized with orthorhombic hillebrandite, rhombohedral acetamide, and the monoclinic phase of each karpatite, morganite, and howlite. Finally, the FTIR exhibited several absorbance peaks, assigned to silica.

Journal of the European Optical Society-Rapid Publications
Aug. 04, 2023, Vol. 19 Issue 1 2023003 (2023)
Space Debris Laser Ranging with range-gate-free Superconducting Nanowire Single-Photon Detector
Haitao Zhang, Yuqiang Li, Zhulian Li, Xiaoyu Pi, Yongzhang Yang, and Rufeng Tang

Space Debris Laser Ranging (DLR) is a technique to measure range to defunct satellites, rocket bodies or other space targets in orbits around Earth. The analysis shows that one of the reasons for the low success probability of DLR is the inaccurate orbital prediction of targets. Then it is proposed to use the Superconducting Nanowire Single-Photon Detector (SNSPD) running in automatic-recoverable range-gate-free mode, in which case, the effect of the accuracy of the target’s orbital prediction on the success probability of DLR is greatly reduced. In this way, 249 space debris were successfully detected and 532 passes of data were obtained. The smallest target detected was the space-debris (902) with an orbital altitude of about 1000 km and a Radar Cross Section (RCS) of 0.0446 m2. The farthest target detected was the space-debris (12,445) with a large elliptical orbit and an RCS of 18.2505 m2, of which the range of the normal point (NPT) of the measured arc-segment on January 27, 2019 was 6260.805 km.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023002 (2023)
Exploring the hidden dimensions of an optical extreme learning machine
Duarte Silva, Tiago Ferreira, Felipe C. Moreira, Carla C. Rosa, Ariel Guerreiro, and Nuno A. Silva

Extreme Learning Machines (ELMs) are a versatile Machine Learning (ML) algorithm that features as the main advantage the possibility of a seamless implementation with physical systems. Yet, despite the success of the physical implementations of ELMs, there is still a lack of fundamental understanding in regard to their optical implementations. In this context, this work makes use of an optical complex media and wavefront shaping techniques to implement a versatile optical ELM playground to gain a deeper insight into these machines. In particular, we present experimental evidences on the correlation between the effective dimensionality of the hidden space and its generalization capability, thus bringing the inner workings of optical ELMs under a new light and opening paths toward future technological implementations of similar principles.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2023001 (2023)
Ultra-broadband and tunable infrared absorber based on VO2 hybrid multi-layer nanostructure
Junyi Yan, Yi Li, Mengdi Zou, Jiaqing Zhuang, Jincheng Mei, Xingping Wang, Xin Zhang, Yuda Wu, Chuang Peng, Wenyan Dai, Zhen Yuan, and Ke Lin

We propose an ultra-broadband near- to mid-infrared (NMIR) tunable absorber based on VO2 hybrid multi-layer nanostructure by hybrid integration of the upper and the lower parts. The upper part is composed of VO2 nanocylinder arrays prepared on the front illuminated surface of quartz substrate, and VO2 square films and VO2/SiO2/VO2 square nanopillar arrays prepared on the back surface. The lower part is an array of SiO2/Ti/VO2 nanopillars on Ti substrate. The effects of different structural parameters and temperature on the absorption spectra were analyzed by the finite-difference time-domain method. An average absorption rate of up to 94.7% and an ultra-wide bandwidth of 6.5 μm were achieved in NMIR 1.5–8 μm. Neither vertical incident light with different polarization angles nor large inclination incident light has a significant effect on the absorption performance of the absorber. The ultra-broadband high absorption performance of this absorber will be widely used in NMIR photodetectors and other new optoelectronic devices.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2022017 (2023)
Neural network modeling of bismuth-doped fiber amplifier
Aleksandr Donodin, Uiara Celine de Moura, Ann Margareth Rosa Brusin, Egor Manuylovich, Vladislav Dvoyrin, Francesco Da Ros, Andrea Carena, Wladek Forysiak, Darko Zibar, and Sergei K. Turitsyn

Bismuth-doped fiber amplifiers offer an attractive solution for meeting continuously growing enormous demand on the bandwidth of modern communication systems. However, practical deployment of such amplifiers require massive development and optimization efforts with the numerical modeling being the core design tool. The numerical optimization of bismuth-doped fiber amplifiers is challenging due to a large number of unknown parameters in the conventional rate equations models. We propose here a new approach to develop a bismuth-doped fiber amplifier model based on a neural network purely trained with experimental data sets in E- and S-bands. This method allows a robust prediction of the amplifier operation that incorporates variations of fiber properties due to manufacturing process and any fluctuations of the amplifier characteristics. Using the proposed approach the spectral dependencies of gain and noise figure for given bi-directional pump currents and input signal powers have been obtained. The low mean (less than 0.19 dB) and standard deviation (less than 0.09 dB) of the maximum error are achieved for gain and noise figure predictions in the 1410–1490 nm spectral band.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2022016 (2023)
Wavelength-switchable L-band fiber laser assisted by random reflectors
R.A. Perez-Herrera, P. Roldan-Varona, A. Sanchez-Gonzalez, L. Rodriguez-Cobo, J.M. Lopez-Higuera, and M. Lopez-Amo

A wavelength-switchable L-band erbium-doped fiber laser (EDFL) assisted by an artificially controlled backscattering (ACB) fiber reflector is here presented. This random reflector was inscribed by femtosecond (fs) laser direct writing on the axial axis of a multimode fiber with 50 μm core and 125 μm cladding with a length of 17 mm. This microstructure was placed inside a surgical syringe to be positioned in the center of a high-precision rotation mount to accurately control its angle of rotation. Only by rotating this mount, three different output spectra were obtained: a single wavelength lasing centered at 1574.75 nm, a dual wavelength lasing centered at 1574.75 nm and 1575.75 nm, and a single wavelength lasing centered at 1575.5 nm. All of them showed an optical signal-to-noise ratio (OSNR) of around 60 dB when pumped at 300 mW.

Journal of the European Optical Society-Rapid Publications
Aug. 01, 2023, Vol. 19 Issue 1 2022015 (2023)
Comments about birefringence dispersion, with group and phase birefringence measurements in polarization-maintaining fibers
Thomas Villedieu, Laurent Lablonde, Hugo Boiron, Adrien Steib, Gilles Mélin, Thierry Robin, Benoît Cadier, Maxime Rattier, and Hervé C. Lefèvre

A recent JEOS-RP publication proposed Comments about Dispersion of Light Waves, and we present here complementary comments for birefringence dispersion in polarization-maintaining (PM) fibers, and for its measurement techniques based on channeled spectrum analysis. We start by a study of early seminal papers, and we propose additional explanations to get a simpler understanding of the subject. A geometrical construction is described to relate phase birefringence to group birefringence, and it is applied to the measurement of several kinds of PM fibers using stress-induced photo-elasticity, or shape birefringence. These measurements confirm clearly that the difference between group birefringence and phase birefringence is limited to 15–20% in stress-induced PM fibers (bow-tie, panda, or tiger-eye), but that it can get up to a 3-fold factor with an elliptical-core (E-core) fiber. There are also surprising results with solid-core micro-structured PM fibers, that are based on shape birefringence, as E-core fibers.

Journal of the European Optical Society-Rapid Publications
Aug. 31, 2023, Vol. 19 Issue 1 2022014 (2023)
Singular value representation of the coherence Poincaré sphere
Jyrki Laatikainen, Ari T. Friberg, Olga Korotkova, and Tero Setälä

The so-called coherence Poincaré sphere was recently introduced for geometrical visualization of the state of two-point spatial coherence of a random electromagnetic beam. The formalism and its interpretation strongly utilized a specific decomposition of the Gram matrix of the cross-spectral density (CSD) matrix. In this work, we show that the interpretation of the coherence Poincaré sphere is obtained exclusively and straightforwardly via the singular value decomposition of the CSD matrix.The so-called coherence Poincaré sphere was recently introduced for geometrical visualization of the state of two-point spatial coherence of a random electromagnetic beam. The formalism and its interpretation strongly utilized a specific decomposition of the Gram matrix of the cross-spectral density (CSD) matrix. In this work, we show that the interpretation of the coherence Poincaré sphere is obtained exclusively and straightforwardly via the singular value decomposition of the CSD matrix.

Journal of the European Optical Society-Rapid Publications
Dec. 06, 2022, Vol. 18 Issue 2 2022012 (2022)
Optical diagnosis of gastric tissue biopsies with Mueller microscopy and statistical analysis
Myeongseop Kim, Hee Ryung Lee, Razvigor Ossikovski, Aude Malfait-Jobart, Dominique Lamarque, and Tatiana Novikova

We investigate a possibility of producing the quantitative optical metrics to characterize the evolution of gastric tissue from healthy conditions via inflammation to cancer by using Mueller microscopy of gastric biopsies, regression model and statistical analysis of the predicted images. For this purpose the unstained sections of human gastric tissue biopsies at different pathological conditions were measured with the custom-built Mueller microscope. Polynomial regression model was built using the maps of transmitted intensity, retardance, dichroism and depolarization to generate the predicted images. The statistical analysis of predicted images of gastric tissue sections with multi-curve fit suggests that Mueller microscopy combined with data regression and statistical analysis is an effective approach for quantitative assessment of the degree of inflammation in gastric tissue biopsies with a high potential in clinical applications.We investigate a possibility of producing the quantitative optical metrics to characterize the evolution of gastric tissue from healthy conditions via inflammation to cancer by using Mueller microscopy of gastric biopsies, regression model and statistical analysis of the predicted images. For this purpose the unstained sections of human gastric tissue biopsies at different pathological conditions were measured with the custom-built Mueller microscope. Polynomial regression model was built using the maps of transmitted intensity, retardance, dichroism and depolarization to generate the predicted images. The statistical analysis of predicted images of gastric tissue sections with multi-curve fit suggests that Mueller microscopy combined with data regression and statistical analysis is an effective approach for quantitative assessment of the degree of inflammation in gastric tissue biopsies with a high potential in clinical applications.

Journal of the European Optical Society-Rapid Publications
Nov. 23, 2022, Vol. 18 Issue 2 2022011 (2022)
The dependence of speckle contrast on velocity: a numerical study
Kevin van As, Bram A. Simons, Chris R. Kleijn, Sasa Kenjeres, and Nandini Bhattacharya

We study how the speckle contrast depends on scatterer velocity, with the goal of further developing laser speckle imaging as a quantitative measurement technique. To that end, we perform interferometric computer simulations on a dilute plug flow. The results of our numerical experiment, that we compare with known analytical expressions to confirm their veracity, match well at low velocities with the Gaussian expression. Finally, we address the issue of how velocity depends on speckle decorrelation time, and show that the speckle size is most likely the relevant connecting length scale.We study how the speckle contrast depends on scatterer velocity, with the goal of further developing laser speckle imaging as a quantitative measurement technique. To that end, we perform interferometric computer simulations on a dilute plug flow. The results of our numerical experiment, that we compare with known analytical expressions to confirm their veracity, match well at low velocities with the Gaussian expression. Finally, we address the issue of how velocity depends on speckle decorrelation time, and show that the speckle size is most likely the relevant connecting length scale.

Journal of the European Optical Society-Rapid Publications
Nov. 25, 2022, Vol. 18 Issue 2 2022010 (2022)
Ultrafast broadband optical modulation in indium tin oxide/titanium dioxide 1D photonic crystal
Liliana Moscardi, Stefano Varas, Alessandro Chiasera, Francesco Scotognella, and Michele Guizzardi

Photonic crystals can integrate plasmonic materials such as Indium Tin Oxide (ITO) in their structure. Exploiting ITO plasmonic properties, it is possible to tune the photonic band gap of the photonic crystal upon the application of an external stimuli. In this work, we have fabricated a one-dimensional multilayer photonic crystal alternating ITO and Titanium Dioxide (TiO2) via radio frequency sputtering and we have triggered its optical response with ultrafast pump-probe spectroscopy. Upon photoexcitation, we observe a change in the refractive index of ITO. Such an effect has been used to create a photonic crystal that changes its photonic bandgap in an ultrafast time scale. All optical modulation in the visible region, that can be tuned by designing the photonic crystal, has been demonstrated.Photonic crystals can integrate plasmonic materials such as Indium Tin Oxide (ITO) in their structure. Exploiting ITO plasmonic properties, it is possible to tune the photonic band gap of the photonic crystal upon the application of an external stimuli. In this work, we have fabricated a one-dimensional multilayer photonic crystal alternating ITO and Titanium Dioxide (TiO2) via radio frequency sputtering and we have triggered its optical response with ultrafast pump-probe spectroscopy. Upon photoexcitation, we observe a change in the refractive index of ITO. Such an effect has been used to create a photonic crystal that changes its photonic bandgap in an ultrafast time scale. All optical modulation in the visible region, that can be tuned by designing the photonic crystal, has been demonstrated.

Journal of the European Optical Society-Rapid Publications
Sep. 19, 2022, Vol. 18 Issue 2 2022009 (2022)
Cubic–quartic optical soliton perturbation and modulation instability analysis in polarization-controlled fibers for Fokas–Lenells equation
Khalil S. Al-Ghafri, Edamana V. Krishnan, and Anjan Biswas

The objective of this study is to investigate miscellaneous wave structures for perturbed Fokas–Lenells equation (FLE) with cubic-quartic dispersion in polarization-preserving fibers. Based on the improved projective Riccati equations method, various types of soliton solutions such as bright soliton, combo dark–bright soliton, singular soliton and combo singular soliton are constructed. Additionally, a set of periodic singular waves are also retrieved. The dynamical behaviors of some obtained solutions are depicted to provide a key to understanding the physics of the model. The modulation instability of the FLE is reported by employing the linear stability analysis which shows that all solutions are stable.The objective of this study is to investigate miscellaneous wave structures for perturbed Fokas–Lenells equation (FLE) with cubic-quartic dispersion in polarization-preserving fibers. Based on the improved projective Riccati equations method, various types of soliton solutions such as bright soliton, combo dark–bright soliton, singular soliton and combo singular soliton are constructed. Additionally, a set of periodic singular waves are also retrieved. The dynamical behaviors of some obtained solutions are depicted to provide a key to understanding the physics of the model. The modulation instability of the FLE is reported by employing the linear stability analysis which shows that all solutions are stable.

Journal of the European Optical Society-Rapid Publications
Sep. 19, 2022, Vol. 18 Issue 2 2022008 (2022)
Optical characterization of strain sensing cables for Brillouin optical time domain analysis
Francesco Falcetelli, Filippo Bastianini, Pawel Bocheński, Leonardo Rossi, Raffaella Di Sante, and Gabriele Bolognini

Two innovative optical fiber cable layouts designed to improve strain measurement accuracy for Brillouin Optical Time Domain Analysis (BOTDA) sensors through improved strain transfer efficiency are presented and discussed. Swept Wavelength Interferometry (SWI) is used to experimentally evaluate their performance alongside analytical models and numerical simulation through Finite Element Method (FEM). The results show good agreement between the different methods and show that the second sensing cable design presents good features to minimize the mismatch between measured and actual strain. Finally, the strain response of both strain and temperature sensing cables of this design are evaluated, showing that their difference in response is reliable enough to allow temperature compensation.Two innovative optical fiber cable layouts designed to improve strain measurement accuracy for Brillouin Optical Time Domain Analysis (BOTDA) sensors through improved strain transfer efficiency are presented and discussed. Swept Wavelength Interferometry (SWI) is used to experimentally evaluate their performance alongside analytical models and numerical simulation through Finite Element Method (FEM). The results show good agreement between the different methods and show that the second sensing cable design presents good features to minimize the mismatch between measured and actual strain. Finally, the strain response of both strain and temperature sensing cables of this design are evaluated, showing that their difference in response is reliable enough to allow temperature compensation.

Journal of the European Optical Society-Rapid Publications
Aug. 25, 2022, Vol. 18 Issue 1 2022007 (2022)
Coherence onset in PT-symmetric organic microcavities: towards directional propagation of light
Karla Roszeitis, Markas Sudzius, Alexander Palatnik, Rebekka Koch, Jan Carl Budich, and Karl Leo

For the investigation of non-Hermitian effects and physics under parity-time (PT) symmetry, photonic systems are ideal model systems for both experimental and theoretical research. We investigate a fundamental building block of a potential photonic device, consisting of coupled organic microcavities. The coupled system contains cavities with gain and loss and respects parity-time symmetry, leading to non-Hermitian terms in the corresponding Hamiltonian. Experimentally, two coupled cavities are realized and driven optically using pulsed laser excitation up to the lasing regime. We show that above the lasing threshold, when coherence evolves, the coupled-cavity system starts to operate asymmetrically, generating more light on one side of the device, being characteristic of non-Hermitian PT-symmetric systems. Calculations and simulations on a Su–Schrieffer–Heeger (SSH) chain composed of these PT-symmetric unit cells show the emergence of non-trivial topological features.For the investigation of non-Hermitian effects and physics under parity-time (PT) symmetry, photonic systems are ideal model systems for both experimental and theoretical research. We investigate a fundamental building block of a potential photonic device, consisting of coupled organic microcavities. The coupled system contains cavities with gain and loss and respects parity-time symmetry, leading to non-Hermitian terms in the corresponding Hamiltonian. Experimentally, two coupled cavities are realized and driven optically using pulsed laser excitation up to the lasing regime. We show that above the lasing threshold, when coherence evolves, the coupled-cavity system starts to operate asymmetrically, generating more light on one side of the device, being characteristic of non-Hermitian PT-symmetric systems. Calculations and simulations on a Su–Schrieffer–Heeger (SSH) chain composed of these PT-symmetric unit cells show the emergence of non-trivial topological features.

Journal of the European Optical Society-Rapid Publications
Aug. 22, 2022, Vol. 18 Issue 1 2022006 (2022)
Study of injection-locked stabilized, short cavity Brillouin ring laser source design for fiber sensing applications
Leonardo Rossi, Filippo Bastianini, and Gabriele Bolognini

A new pump-seeded, short-cavity Brillouin ring laser source layout intended for Brillouin sensing applications is showcased, showing increased high maximum output (1.5 mW), a strong linewidth narrowing effect (producing light with a linewidth of 10 kHz) and limited relative intensity noise (RIN ~ −145 dB/Hz), providing an ultranarrow, highly stable BRL source that can also be employed as a pump-probe source for Brillouin optical time-domain analysis (BOTDA) applications.A new pump-seeded, short-cavity Brillouin ring laser source layout intended for Brillouin sensing applications is showcased, showing increased high maximum output (1.5 mW), a strong linewidth narrowing effect (producing light with a linewidth of 10 kHz) and limited relative intensity noise (RIN ~ −145 dB/Hz), providing an ultranarrow, highly stable BRL source that can also be employed as a pump-probe source for Brillouin optical time-domain analysis (BOTDA) applications.

Journal of the European Optical Society-Rapid Publications
Aug. 12, 2022, Vol. 18 Issue 1 2022005 (2022)
It is a sufficient condition only, not a necessary and sufficient condition, for decomposing wavefront aberrations
Psang Lin

The classic equation for decomposing the wavefront aberrations of axis-symmetrical optical systems has the form,(1)W(h0,ρ,ϕ)=∑j=0∝∑p=0∝∑m=0∝C2j+m2p+mm(h0)2j+m(ρ)2p+m(cosϕ)mwhere j, p and m are non-negative integers, ρ and ϕ are the polar coordinates of the pupil, and h0 is the object height. However, one non-zero component of the aberrations (i.e., C133h0ρ3cos3ϕ) is missing from this equation when the image plane is not the Gaussian image plane. This implies that the equation is a sufficient condition only, rather than a necessary and sufficient condition, since it cannot guarantee that all of the components of the aberrations can be found. Accordingly, this paper presents a new method for determining all the components of aberrations of any order. The results show that three and six components of the secondary and tertiary aberrations, respectively, are missing in the existing literature.The classic equation for decomposing the wavefront aberrations of axis-symmetrical optical systems has the form,(1)W(h0,ρ,ϕ)=∑j=0∝∑p=0∝∑m=0∝C2j+m2p+mm(h0)2j+m(ρ)2p+m(cosϕ)mwhere j, p and m are non-negative integers, ρ and ϕ are the polar coordinates of the pupil, and h0 is the object height. However, one non-zero component of the aberrations (i.e., C133h0ρ3cos3ϕ) is missing from this equation when the image plane is not the Gaussian image plane. This implies that the equation is a sufficient condition only, rather than a necessary and sufficient condition, since it cannot guarantee that all of the components of the aberrations can be found. Accordingly, this paper presents a new method for determining all the components of aberrations of any order. The results show that three and six components of the secondary and tertiary aberrations, respectively, are missing in the existing literature.

Journal of the European Optical Society-Rapid Publications
Jul. 06, 2022, Vol. 18 Issue 1 2022004 (2022)
Atmospheric Plasma Jet processing for figure error correction of an optical element made from S-BSL7
Heike Müller, Thomas Waak, Uwe Birnbaum, Georg Böhm, and Thomas Arnold

To meet the increasing market demand for optical components, Plasma Jet Machining (PJM) of Borosilicate Crown Glass (BCG), which can be an alternative to Fused Silica, is presented. Surface figure error correction was performed by applying reactive plasma jet etching, where a fluorine-containing microwave driven plasma jet is employed to reduce the figure error in a deterministic dwell-time controlled dry etching process. However, some of the glass constituents of BCG cause the formation of a residual layer during surface treatment which influences the local material removal. By heating the substrate to about TS = 325 °C to 350 °C during processing, the etching behavior can clearly be improved. Geometric conditions of the optical element nevertheless lead to a characteristic temperature distribution on the substrate surface, which requires an adjustment of the local dwell times in order to obtain the required material removal. Furthermore, the resulting local surface roughness is also influenced by the surface temperature distribution. It is shown that figure error can be significantly reduced by taking the local temperature distribution and resulting local etching rates into account. A subsequent polishing step smoothens roughness features occurring during etching to provide optical surface quality.To meet the increasing market demand for optical components, Plasma Jet Machining (PJM) of Borosilicate Crown Glass (BCG), which can be an alternative to Fused Silica, is presented. Surface figure error correction was performed by applying reactive plasma jet etching, where a fluorine-containing microwave driven plasma jet is employed to reduce the figure error in a deterministic dwell-time controlled dry etching process. However, some of the glass constituents of BCG cause the formation of a residual layer during surface treatment which influences the local material removal. By heating the substrate to about TS = 325 °C to 350 °C during processing, the etching behavior can clearly be improved. Geometric conditions of the optical element nevertheless lead to a characteristic temperature distribution on the substrate surface, which requires an adjustment of the local dwell times in order to obtain the required material removal. Furthermore, the resulting local surface roughness is also influenced by the surface temperature distribution. It is shown that figure error can be significantly reduced by taking the local temperature distribution and resulting local etching rates into account. A subsequent polishing step smoothens roughness features occurring during etching to provide optical surface quality.

Journal of the European Optical Society-Rapid Publications
Jul. 08, 2022, Vol. 18 Issue 1 2022003 (2022)
Generalized large optics fabrication multiplexing
Daewook Kim, Xiaolong Ke, Weslin Pullen, Tianyi Wang, Heejoo Choi, Vipender Singh Negi, Lei Huang, and Mourad Idir

High precision astronomical optics are manufactured through deterministic computer controlled optical surfacing processes, such as subaperture small tool polishing, magnetorheological finishing, bonnet tool polishing, and ion beam figuring. Due to the small tool size and the corresponding tool influence function, large optics fabrication is a highly time-consuming process. The framework of multiplexed figuring runs for the simultaneous use of two or more tools is presented. This multiplexing process increases the manufacturing efficiency and reduces the overall cost using parallelized subaperture tools.High precision astronomical optics are manufactured through deterministic computer controlled optical surfacing processes, such as subaperture small tool polishing, magnetorheological finishing, bonnet tool polishing, and ion beam figuring. Due to the small tool size and the corresponding tool influence function, large optics fabrication is a highly time-consuming process. The framework of multiplexed figuring runs for the simultaneous use of two or more tools is presented. This multiplexing process increases the manufacturing efficiency and reduces the overall cost using parallelized subaperture tools.

Journal of the European Optical Society-Rapid Publications
Jun. 03, 2022, Vol. 18 Issue 1 2022002 (2022)
Comments about dispersion of light waves
Hervé C. Lefèvre

Dispersion of light waves is well known, but the subject deserves some comments. Certain classical equations do not fully respect causality; as an example, group velocity vg is usually given as the first derivative of the angular frequency ω with respect to the angular spatial frequency km (or wavenumber) in the medium, whereas it is km that depends on ω. This paper also emphasizes the use of phase index n and group index ng, as inverse of their respective velocities, normalized to 1/c, the inverse of free-space light velocity. This clarifies the understanding of dispersion equations: group dispersion parameter D is related to the first derivative of ng with respect to wavelength λ, whilst group velocity dispersion GVD is also related to the first derivative of ng, but now with respect to angular frequency ω. One notices that the term second order dispersion does not have the same meaning with λ, or with ω. In addition, two original and amusing geometrical constructions are proposed; they simply derive group index ng from phase index n with a tangent, which helps to visualize their relationship. This applies to bulk materials, as well as to optical fibers and waveguides, and this can be extended to birefringence and polarization mode dispersion in polarization-maintaining fibers or birefringent waveguides.Dispersion of light waves is well known, but the subject deserves some comments. Certain classical equations do not fully respect causality; as an example, group velocity vg is usually given as the first derivative of the angular frequency ω with respect to the angular spatial frequency km (or wavenumber) in the medium, whereas it is km that depends on ω. This paper also emphasizes the use of phase index n and group index ng, as inverse of their respective velocities, normalized to 1/c, the inverse of free-space light velocity. This clarifies the understanding of dispersion equations: group dispersion parameter D is related to the first derivative of ng with respect to wavelength λ, whilst group velocity dispersion GVD is also related to the first derivative of ng, but now with respect to angular frequency ω. One notices that the term second order dispersion does not have the same meaning with λ, or with ω. In addition, two original and amusing geometrical constructions are proposed; they simply derive group index ng from phase index n with a tangent, which helps to visualize their relationship. This applies to bulk materials, as well as to optical fibers and waveguides, and this can be extended to birefringence and polarization mode dispersion in polarization-maintaining fibers or birefringent waveguides.

Journal of the European Optical Society-Rapid Publications
Jun. 03, 2022, Vol. 18 Issue 1 2022001 (2022)
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