Advanced Photonics Nexus, Volume. 3, Issue 5, 056017(2024)

Experimental determination of effective light transport properties in fully anisotropic media

Ernesto Pini1,2、*, Peter Naglič3, Miran Bürmen3, Alexander Gatto4, Henrik Schäfer4, Diederik S. Wiersma1,2,5, and Lorenzo Pattelli2,5,6、*
Author Affiliations
  • 1Università di Firenze, Department of Physics and Astronomy, Sesto Fiorentino, Italy
  • 2European Laboratory for Non-Linear Spectroscopy, Sesto Fiorentino, Italy
  • 3University of Ljubljana, Faculty of Electrical Engineering, Laboratory of Imaging Technologies, Ljubljana, Slovenia
  • 4Sony Europe B.V., Stuttgart Technology Center, Stuttgart, Germany
  • 5Istituto Nazionale di Ricerca Metrologica, Turin, Italy
  • 6National Research Council – National Institute of Optics, Sesto Fiorentino, Italy
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    Figures & Tables(7)
    Time-resolved transmittance T(t) through a nonabsorbing 1 mm-thick scattering slab for two refractive index contrast values n=1,1.2. Solid curves represent isotropic simulations with μs,iso=10 mm−1. For each case, a predefined ratio between scattering coefficients along different axes is imposed, as specified in the title above each column. Anisotropic configurations exhibiting the same decay rate as the isotropic case are shown, leading to values of μs,z≠μs,iso. All simulations are performed setting g=0.
    (a) Sketch of the experimental setup for time-resolved measurements when using a 1525 nm probing wavelength. Ti:Sa, titanium sapphire fs laser; OPO, optical parametric oscillator; BBO, β-barium borate nonlinear crystal; CCD, charge-coupled device camera; PMT, photomultiplier tube. (b) Schematics of the transient imaging measurement on a slab sample. The instantaneous spatial distribution of transmitted intensity is imaged at different time delays. (c) Photograph of the paper Post-it note (left) and PTFE tape strip (right) with corresponding scanning electron microscope images of the two samples (insets). Scale bars correspond to 100 and 30 μm for paper and PTFE tape, respectively.
    Selection of transient imaging measurements (top) and corresponding best-fit MC simulations (bottom) of the transmitted intensity distribution recorded at different times for the PTFE tape sample probed at 1525 nm. Each frame shows an area of 7.4 mm×7.4 mm and is normalized to its maximum intensity value. The time delay between consecutive frames is Δt=1.33 ps.
    (a) MSD and (b) time-resolved transmitted intensity of PTFE tape. Solid lines represent the best-fit anisotropic MC simulations, obtained with μs,x=48 mm−1, μs,y=105 mm−1, μs,z=77 mm−1, g=0.9, and μa=0. The dashed purple curve shows a fit performed with an isotropic MC simulation with μs,iso=95 mm−1. Shaded areas represent (a) the compounded uncertainty from the pixel-to-micrometer conversion and the bivariate Gaussian fit and (b) 1σ of the average between five different sample positions, respectively.
    Selection of transient imaging measurements (top) and corresponding best-fit MC simulations (bottom) of the transmitted intensity distribution recorded at different times for the Post-it note performed at 820 nm probing wavelength. Each frame shows an area of 2.7 mm×2.7 mm and is normalized to its maximum value. The time delay between consecutive frames is Δt=1 ps.
    (a) MSD and (b) time-resolved transmitted intensity of paper. Solid lines represent the best-fit anisotropic MC simulations, obtained with μs,x=223 mm−1, μs,y=148 mm−1, μs,z=343 mm−1, g=0.8, and μa=0.015 mm−1. The dashed purple curve shows a fit performed with an isotropic MC simulation with μs,iso=455 mm−1. Shaded areas represent (a) the compounded uncertainty from the pixel-to-micrometer conversion and the bivariate Gaussian fit and (b) 1σ of the average between six different sample positions, respectively.
    • Table 1. Effective transport mean free paths ˜i* along different directions retrieved with anisotropic MC simulations for PTFE tape and paper. The transport mean free paths retrieved with isotropic MC modeling (iso*) are also reported to show the degree of error introduced by neglecting the presence of anisotropy.

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      Table 1. Effective transport mean free paths ˜i* along different directions retrieved with anisotropic MC simulations for PTFE tape and paper. The transport mean free paths retrieved with isotropic MC modeling (iso*) are also reported to show the degree of error introduced by neglecting the presence of anisotropy.

      Sample˜x* [μm]˜y* [μm]˜z* [μm]iso* [μm]
      PTFE210(20)95(7)130(14)105(13)
      Paper22.4(1.8)34(3)14.6(1.7)11(1)
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    Ernesto Pini, Peter Naglič, Miran Bürmen, Alexander Gatto, Henrik Schäfer, Diederik S. Wiersma, Lorenzo Pattelli, "Experimental determination of effective light transport properties in fully anisotropic media," Adv. Photon. Nexus 3, 056017 (2024)

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    Paper Information

    Category: Research Articles

    Received: May. 20, 2024

    Accepted: Aug. 16, 2024

    Published Online: Sep. 13, 2024

    The Author Email: Pini Ernesto (pinie@lens.unifi.it), Pattelli Lorenzo (l.pattelli@inrim.it)

    DOI:10.1117/1.APN.3.5.056017

    CSTR:32397.14.1.APN.3.5.056017

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