Acta Photonica Sinica, Volume. 52, Issue 6, 0623001(2023)

Advances of Inverse Design in Photonics(Invited)

Peng HONG1, Longxiayu HU2, Zixin ZHOU3, Haoran QIN4, Jiale CHEN2, Ye FAN5, Tongyu YIN6, Junlong KOU1,2、*, and Yanqing LU2,7、**
Author Affiliations
  • 1School of Integrated Circuits, Nanjing University, Suzhou 215163, China
  • 2School of Electronic Science and Engineering, Nanjing University, Nanjing 210093, China
  • 3College of Chemistry and Materials Science, Northwest University, Xi'an 710069, China
  • 4College of Physics, Sichuan University, Chengdu 610065, China
  • 5School of Microelectronics Science and Technology, Sun Yat-Sen University, Zhuhai 519082, China
  • 6School of Electronic Science and Engineering, Xi'an Jiaotong University, Xi'an 710049, China
  • 7College of Engineering and Applied Sciences, Nanjing University, Nanjing 210093, China
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    References(124)

    [1] ATWATER H A, POLMAN A. Plasmonics for improved photovoltaic devices[J]. Nature Materials, 9, 205-213(2010).

    [2] FU M C, GLOVER F W, APRIL J. In simulation optimization: A review, new developments, and applications[C], 83-95(2005).

    [3] LIU S, ZHANG K, CAO S et al. In design and optimization of terahertz bandpass filter based on SiC substrate[C], 205-207(2021).

    [4] KRAFTMAKHER G A, BUTYLKIN V S. A composite medium with simultaneously negative permittivity and permeability[J]. Technical Physics Letters, 29, 230-232(2003).

    [5] YAMAZOE K, MOCHI I, GOLDBERG K A. Gradient descent algorithm applied to wavefront retrieval from through-focus images by an extreme ultraviolet microscope with partially coherent source[J]. Journal of the Optical Society of America a-Optics Image Science and Vision, 31, B34-B43(2014).

    [6] BOREL P I, HARPOTH A, FRANDSEN L H et al. Topology optimization and fabrication of photonic crystal structures[J]. Optics Express, 12, 1996-2001(2004).

    [7] MATZEN R, JENSEN J S, SIGMUND O. Topology optimization for transient response of photonic crystal structures[J]. Journal of the Optical Society of America B-Optical Physics, 27, 2040-2050(2010).

    [8] RIISHEDE J, SIGMUND O. Inverse design of dispersion compensating optical fiber using topology optimization[J]. Journal of the Optical Society of America B-Optical Physics, 25, 88-97(2008).

    [9] ELESIN Y, LAZAROV B S, JENSEN J S et al. Design of robust and efficient photonic switches using topology optimization[J]. Photonics and Nanostructures-Fundamentals and Applications, 10, 153-165(2012).

    [10] MICHALEWICZ Z, MICHALEWICZ M. Evolutionary computation techniques and their applications[C], 14-25(1997).

    [11] WANG D S, TAN D P, LIU L. Particle swarm optimization algorithm: an overview[J]. Soft Computing, 22, 387-408(2018).

    [12] AN S S, FOWLER C, ZHENG B W et al. A deep learning approach for objective-driven all-dielectric metasurface design[J]. Acs Photonics, 6, 3196-3207(2019).

    [13] LIU D J, TAN Y X, KHORAM E et al. Training deep neural networks for the inverse design of nanophotonic structures[J]. Acs Photonics, 5, 1365-1369(2018).

    [14] KIM S, SHIN J M, LEE J et al. Inverse design of organic light-emitting diode structure based on deep neural networks[J]. Nanophotonics, 10, 4533-4541(2021).

    [15] ELESIN Y, LAZAROV B S, JENSEN J S et al. Time domain topology optimization of 3D nanophotonic devices[J]. Photonics and Nanostructures-Fundamentals and Applications, 12, 23-33(2014).

    [16] KIM D C, HERMERSCHMIDT A, DYACHENKO P et al. Inverse design and demonstration of high-performance wide-angle diffractive optical elements[J]. Optics Express, 28, 22321-22333(2020).

    [17] SU L, TRIVEDI R, SAPRA N V et al. Fully-automated optimization of grating couplers[J]. Optics Express, 26, 4023-4034(2018).

    [18] CALLEWAERT F, VELEV V, KUMAR P et al. Inverse-designed broadband all-dielectric electromagnetic metadevices[J]. Scientific Reports, 8, 8(2018).

    [19] TAKAHASHI Y, INUI Y, CHIHARA M et al. A micrometre-scale Raman silicon laser with a microwatt threshold[J]. Nature, 498, 470-474(2013).

    [20] HALIR R, OKAWACHI Y, LEVY J S et al. Ultrabroadband supercontinuum generation in a CMOS-compatible platform[J]. Optics Letters, 37, 1685-1687(2012).

    [21] RUTER C E, MAKRIS K G, EL-GANAINY R et al. Observation of parity-time symmetry in optics[J]. Nature Physics, 6, 192-195(2010).

    [22] ZHEN B, HSU C W, IGARASHI Y et al. Spawning rings of exceptional points out of Dirac cones[J]. Nature, 525, 354-358(2015).

    [23] LEE W K, YU S C, ENGEL C J et al. Concurrent design of quasi-random photonic nanostructures[J]. Proceedings of the National Academy of Sciences of the United States of America, 114, 8734-8739(2017).

    [24] KIM G, DOMINGUEZ-CABALLERO J A, LEE H et al. Increased photovoltaic power output via diffractive spectrum separation[J]. Physical Review Letters, 110, 5(2013).

    [25] PIGGOTT A Y, LU J, LAGOUDAKIS K G et al. Inverse design and demonstration of a compact and broadband on-chip wavelength demultiplexer[J]. Nature Photonics, 9, 374-377(2015).

    [26] SHEN B, WANG P, POLSON R et al. An integrated-nanophotonics polarization beamsplitter with 2.4×2.4 μm(2) footprint[J]. Nature Photonics, 9, 378-382(2015).

    [27] SHI X H, LIANG Y C, LEE H P et al. An improved GA and a novel PSO-GA-based hybrid algorithm[J]. Information Processing Letters, 93, 255-261(2005).

    [28] CHUNG H J, MILLER O D. Tunable metasurface inverse design for 80% switching efficiencies and 144 degrees angular deflection[J]. Acs Photonics, 7, 2236-2243(2020).

    [29] LALAU-KERALY C M, BHARGAVA S, MILLER O D et al. Adjoint shape optimization applied to electromagnetic design[J]. Optics Express, 21, 21693-21701(2013).

    [30] SO S, BADLOE T, NOH J et al. Deep learning enabled inverse design in nanophotonics[J]. Nanophotonics, 9, 1041-1057(2020).

    [31] PIGGOTT A Y, PETYKIEWICZ J, SU L G et al. Fabrication-constrained nanophotonic inverse design[J]. Scientific Reports, 7, 7(2017).

    [32] MCNAMARA A, TREUILLE A, POPOVIC Z et al. Fluid control using the adjoint method[J]. Acm Transactions on Graphics, 23, 449-456(2004).

    [33] DIRECTOR S W, ROHRER R A. Generalized adjoint network and network sensitivities[J]. IEEE Transactions on Circuit Theory, 16, 318-323(1969).

    [34] CHUNG H, MILLER O D. High-NA achromatic metalenses by inverse design[J]. Optics Express, 28, 6945-6965(2020).

    [35] SU L, PIGGOTT A Y, SAPRA N V et al. Inverse design and demonstration of a compact on-chip narrowband three-channel wavelength demultiplexer[J]. Acs Photonics, 5, 301-305(2018).

    [36] ZHOU M, LIU D J, BELLING S W et al. Inverse design of metasurfaces based on coupled-mode theory and adjoint optimization[J]. Acs Photonics, 8, 2265-2273(2021).

    [37] SELL D, YANG J J, DOSHAY S et al. Large-angle, multifunctional metagratings based on freeform multimode geometries[J]. Nano Letters, 17, 3752-3757(2017).

    [38] MANSOUREE M, KWON H, ARBABI E et al. Multifunctional 2.5D metastructures enabled by adjoint optimization[J]. Optica, 7, 77-84(2020).

    [39] SIGMUND O, JENSEN J S. Systematic design of phononic band-gap materials and structures by topology optimization[J]. Philosophical Transactions of the Royal Society a-Mathematical Physical and Engineering Sciences, 361, 1001-1019(2003).

    [40] HARZHEIM L, GRAF G. A review of optimization of cast parts using topology optimization-Ⅱ-Topology optimization with manufacturing constraints[J]. Structural and Multidisciplinary Optimization, 31, 388-399(2006).

    [41] PAPADRAKAKIS M, TSOMPANAKIS Y, LAGAROS N D. Structural shape optimization using evolution strategies[J]. Engineering Optimization, 31, 515-540(1999).

    [42] ALLAIRE G, DAPOGNY C, JOUVE F. Shape and topology optimization[C], 22, 1-132(2021).

    [43] PETERSSON J, SIGMUND O. Slope constrained topology optimization[J]. International Journal for Numerical Methods in Engineering, 41, 1417-1434(1998).

    [44] BENDSØE M P, KIKUCHI N. Generating optimal topologies in structural design using a homogenization method[J]. Computer Methods in Applied Mechanics and Engineering, 71, 197-224(1988).

    [45] BENDSOE M P, GUEDES J, HABER R B et al. An analytical model to predict optimal material properties in the context of optimal structural design[J]. Journal of Applied Mechanics, 61, 930-937(1994).

    [46] KOCVARA M, STINGL M, ZOWE J. Free material optimization: recent progress[J]. Optimization, 57, 79-100(2008).

    [47] BENDSØE M P. Optimal shape design as a material distribution problem[J]. Structural Optimization, 1, 193-202(1989).

    [48] ZHOU M, ROZVANY G. The COC algorithm, Part Ⅱ: Topological, geometrical and generalized shape optimization[J]. Computer Methods in Applied Mechanics and Engineering, 89, 309-336(1991).

    [49] MLEJNEK H P. Some aspects of the genesis of structures[J]. Structural Optimization, 5, 64-69(1992).

    [50] BENDSOE M P, SIGMUND O. Material interpolation schemes in topology optimization[J]. Archive of Applied Mechanics, 69, 635-654(1999).

    [51] DIAZ A, SIGMUND O. Checkerboard patterns in layout optimization[J]. Structural Optimization, 10, 40-45(1995).

    [52] SIGMUND O. On the design of compliant mechanisms using topology optimization[J]. Mechanics of Structures and Machines, 25, 493-524(1997).

    [53] GUEST J K, PREVOST J H, BELYTSCHKO T. Achieving minimum length scale in topology optimization using nodal design variables and projection functions[J]. International Journal for Numerical Methods in Engineering, 61, 238-254(2004).

    [54] SIGMUND O. Morphology-based black and white filters for topology optimization[J]. Structural and Multidisciplinary Optimization, 33, 401-424(2007).

    [55] XU S, CAI Y, CHENG G. Volume preserving nonlinear density filter based on heaviside functions[J]. Structural and Multidisciplinary Optimization, 41, 495-505(2010).

    [56] SIGMUND O. A 99 line topology optimization code written in Matlab[J]. Structural and Multidisciplinary Optimization, 21, 120-127(2001).

    [57] ANDREASSEN E, CLAUSEN A, SCHEVENELS M et al. Efficient topology optimization in MATLAB using 88 lines of code[J]. Structural and Multidisciplinary Optimization, 43, 1-16(2011).

    [58] SVANBERG K. The method of moving asymptotes - a new method for structural optimization[J]. International Journal for Numerical Methods in Engineering, 24, 359-373(1987).

    [59] JENSEN J S, SIGMUND O. Systematic design of photonic crystal structures using topology optimization: Low-loss waveguide bends[J]. Applied Physics Letters, 84, 2022-2024(2004).

    [60] KAO C Y, OSHER S, YABLONOVITCH E. Maximizing band gaps in two-dimensional photonic crystals by using level set methods[J]. Applied Physics B-Lasers and Optics, 81, 235-244(2005).

    [61] BURGER M. A framework for the construction of level set methods for shape optimization and reconstruction[J]. Interfaces and Free Boundaries, 5, 301-329(2003).

    [62] BURGER M, OSHER S J, YABLONOVITCH E. Inverse problem techniques for the design of photonic crystals[J]. Ieice Transactions on Electronics, E87C, 258-265(2004).

    [63] VERCRUYSSE D, SAPRA N V, SU L et al. Analytical level set fabrication constraints for inverse design[J]. Scientific Reports, 9, 8999(2019).

    [64] PEURIFOY J, SHEN Y C, JING L et al. Nanophotonic particle simulation and inverse design using artificial neural networks[J]. Science Advances, 4, 7(2018).

    [65] MA W, CHENG F, LIU Y M. Deep-learning-enabled on-demand design of chiral metamaterials[J]. Acs Nano, 12, 6326-6334(2018).

    [66] BLANCHARD-DIONNE A P, MARTIN O J F. Teaching optics to a machine learning network[J]. Optics Letters, 45, 2922-2925(2020).

    [67] MALKIEL I, MREJEN M, NAGLER A et al. Plasmonic nanostructure design and characterization via deep learning[J]. Light-Science & Applications, 7, 8(2018).

    [68] POUGET-ABADIE J, MIRZA M, XU B et al. Generative adversarial nets[J]. Advances in Neural Information Processing Systems, 63, 139-144(2020).

    [69] HAN Y, XIANG S, ZHANG Y et al. An all-MRR-based photonic spiking neural network for spike sequence learning[J]. Photonics, 9, 120(2022).

    [70] AN S S, ZHENG B W, TANG H et al. Multifunctional metasurface design with a generative adversarial network[J]. Advanced Optical Materials, 9, 10(2021).

    [72] KINGMA D P, WELLING M. Auto-encoding variational bayes[J](2013).

    [73] MA W, CHENG F, XU Y H et al. Probabilistic representation and inverse design of metamaterials based on a deep generative model with semi-supervised learning strategy[J]. Advanced Materials, 31, 9(2019).

    [74] LU L, JOANNOPOULOS J D, SOLJAČIĆ M. Topological states in photonic systems[J]. Nature Physics, 12, 626-629(2016).

    [75] XIE B Y, WANG H F, ZHU X Y et al. Photonics meets topology[J]. Optics Express, 26, 24531-24550(2018).

    [76] ZHU W, DING Y Q, REN J et al. Zak phase and band inversion in dimerized one-dimensional locally resonant metamaterials[J]. Physical Review B, 97, 195307(2018).

    [77] PENG B, ÖZDEMIR Ş K, LEI F et al. Parity-time-symmetric whispering-gallery microcavities[J]. Nature Physics, 10, 394-398(2014).

    [78] RÜTER C E, MAKRIS K G, EL-GANAINY R et al. Observation of parity-time symmetry in optics[J]. Nature Physics, 6, 192-195(2010).

    [79] CHRISTIANSEN R E, WANG F, SIGMUND O. Topological insulators by topology optimization[J]. Physical Review Letters, 122, 234502(2019).

    [80] CHRISTIANSEN R E, WANG F, SIGMUND O et al. Designing photonic topological insulators with quantum-spin-Hall edge states using topology optimization[J]. Nanophotonics, 8, 1363-1369(2019).

    [81] BARIK S, MIYAKE H, DEGOTTARDI W et al. Two-dimensionally confined topological edge states in photonic crystals[J]. New Journal of Physics, 18, 113013(2016).

    [82] SAUER E, VASCO J P, HUGHES S. Theory of intrinsic propagation losses in topological edge states of planar photonic crystals[J]. Physical Review Research, 2, 043109(2020).

    [83] REGENSBURGER A, BERSCH C, M-AMIRI et al. Parity-time synthetic photonic lattices[J]. Nature, 488, 167-171(2012).

    [84] PICK A, LIN Z, JIN W et al. Enhanced nonlinear frequency conversion and Purcell enhancement at exceptional points[J]. Physical Review B, 96, 224303(2017).

    [85] ZHEN B, HSU C W, IGARASHI Y et al. Spawning rings of exceptional points out of Dirac cones[J]. Nature, 525, 354-358(2015).

    [86] MOLESKY S, LIN Z, PIGGOTT A Y et al. Inverse design in nanophotonics[J]. Nature Photonics, 12, 659-670(2018).

    [87] NANTHAKUMAR S, ZHUANG X, PARK H S et al. Inverse design of quantum spin hall-based phononic topological insulators[J]. Journal of the Mechanics and Physics of Solids, 125, 550-571(2019).

    [88] LUO J, DU Z, LIU C et al. Moving Morphable Components-based inverse design formulation for quantum valley/spin hall insulators[J]. Extreme Mechanics Letters, 45, 101276(2021).

    [89] HE L, WEN Z, JIN Y et al. Inverse design of topological metaplates for flexural waves with machine learning[J]. Materials & Design, 199, 109390(2021).

    [90] LIN Z, LIANG X, LONČAR M et al. Cavity-enhanced second-harmonic generation via nonlinear-overlap optimization[J]. Optica, 3, 233-238(2016).

    [91] HAO Z, ZHANG L, MAO W et al. Second-harmonic generation using d 33 in periodically poled lithium niobate microdisk resonators[J]. Photonics Research, 8, 311-317(2020).

    [92] BI Z F, RODRIGUEZ A W, HASHEMI H et al. High-efficiency second-harmonic generation in doubly-resonant χ (2) microring resonators[J]. Optics Express, 20, 7526-7543(2012).

    [93] KHURGIN J B. How to deal with the loss in plasmonics and metamaterials[J]. Nature Nanotechnology, 10, 2-6(2015).

    [94] LIN Z, LONČAR M, RODRIGUEZ A W. Topology optimization of multi-track ring resonators and 2D microcavities for nonlinear frequency conversion[J]. Optics Letters, 42, 2818-2821(2017).

    [95] MANN S A, GOH H, ALÙ A. Inverse design of nonlinear polaritonic metasurfaces for second harmonic generation[J]. Acs Photonics, 10, 993-1000(2023).

    [96] CHRISTIANSEN R E, MICHON J, BENZAOUIA M et al. Inverse design of nanoparticles for enhanced Raman scattering[J]. Optics Express, 28, 4444-4462(2020).

    [97] LI Z, PESTOURIE R, LIN Z et al. Empowering metasurfaces with inverse design: principles and applications[J]. Acs Photonics, 9, 2178-2192(2022).

    [98] ZHAN A, GIBSON R, WHITEHEAD J et al. Controlling three-dimensional optical fields via inverse Mie scattering[J]. Science Advances, 5, eaax4769(2019).

    [99] PHAN T, SELL D, WANG E W et al. High-efficiency, large-area, topology-optimized metasurfaces[J]. Light: Science & Applications, 8, 48(2019).

    [100] BAYATI E, PESTOURIE R, COLBURN S et al. Inverse designed metalenses with extended depth of focus[J]. Acs Photonics, 7, 873-878(2020).

    [101] BACKER A S. Computational inverse design for cascaded systems of metasurface optics[J]. Optics Express, 27, 30308-30331(2019).

    [102] SAJEDIAN I, BADLOE T, RHO J. Optimisation of colour generation from dielectric nanostructures using reinforcement learning[J]. Optics Express, 27, 5874-5883(2019).

    [103] CHUNG H, MILLER O D. Tunable metasurface inverse design for 80% switching efficiencies and 144 angular deflection[J]. Acs Photonics, 7, 2236-2243(2020).

    [104] PANDA S S, VYAS H S, HEGDE R S. Robust inverse design of all-dielectric metasurface transmission-mode color filters[J]. Optical Materials Express, 10, 3145-3159(2020).

    [105] LI Z, LIN P, HUANG Y-W et al. Meta-optics achieves RGB-achromatic focusing for virtual reality[J]. Science Advances, 7, eabe4458(2021).

    [106] LI Z, PESTOURIE R, PARK J S et al. Inverse design enables large-scale high-performance meta-optics reshaping virtual reality[J]. Nature Communications, 13, 2409(2022).

    [107] PESTOURIE R, PÉREZ-ARANCIBIA C, LIN Z et al. Inverse design of large-area metasurfaces[J]. Optics Express, 26, 33732-33747(2018).

    [108] JALALI T, JAFARI M, MOHAMMADI A. Genetic algorithm optimization of antireflection coating consisting of nanostructured thin films to enhance silicon solar cell efficacy[J]. Materials Science and Engineering: B, 247, 114354(2019).

    [109] YOLALMAZ A, YÜCE E. Hybrid design of spectral splitters and concentrators of light for solar cells using iterative search and neural networks[J]. Photonics and Nanostructures-Fundamentals and Applications, 48, 100987(2022).

    [110] PESTOURIE R, YAO W, KANTÉ B et al. Efficient inverse design of large-area metasurfaces for incoherent light[J]. Acs Photonics, 10, 854-860(2023).

    [111] HADIBRATA W, WEI H, KRISHNASWAMY S et al. Inverse design and 3D printing of a metalens on an optical fiber tip for direct laser lithography[J]. Nano Letters, 21, 2422-2428(2021).

    [112] ROQUES-CARMES C, LIN Z, CHRISTIANSEN R E et al. Toward 3D-printed inverse-designed metaoptics[J]. Acs Photonics, 9, 43-51(2022).

    [113] WU Q, LI X, JIANG L et al. Deep neural network for designing near-and far-field properties in plasmonic antennas[J]. Optical Materials Express, 11, 1907-1917(2021).

    [114] WU Q, LI X, WANG W et al. Comparison of different neural network architectures for plasmonic inverse design[J]. ACS Omega, 6, 23076-23082(2021).

    [115] NUGROHO F A A, BAI P, DARMADI I et al. Inverse designed plasmonic metasurface with parts per billion optical hydrogen detection[J]. Nature Communications, 13, 5737(2022).

    [116] CHUNG H, PARK J, BORISKINA S V. Inverse-designed waveguide-based biosensor for high-sensitivity, single-frequency detection of biomolecules[J]. Nanophotonics, 11, 1427-1442(2022).

    [117] DORY C, VERCRUYSSE D, YANG K Y et al. Inverse-designed diamond photonics[J]. Nature Communications, 10, 3309(2019).

    [118] HOFFMAN G B, DALLO C, STARBUCK A et al. Improved broadband performance of an adjoint shape optimized waveguide crossing using a Levenberg-Marquardt update[J]. Optics Express, 27, 24765-24780(2019).

    [119] PIGGOTT A Y, MA E Y, SU L et al. Inverse-designed photonics for semiconductor foundries[J]. Acs Photonics, 7, 569-575(2020).

    [120] YUAN M, YANG G, SONG S et al. Inverse design of a nano-photonic wavelength demultiplexer with a deep neural network approach[J]. Optics Express, 30, 26201-26211(2022).

    [121] YANG K Y, SHIRPURKAR C, WHITE A D et al. Multi-dimensional data transmission using inverse-designed silicon photonics and microcombs[J]. Nature Communications, 13, 7862(2022).

    [123] KUDYSHEV Z A, KILDISHEV A V, SHALAEV V M et al. Machine-learning-assisted metasurface design for high-efficiency thermal emitter optimization[J]. Applied Physics Reviews, 7, 021407(2020).

    [124] QI H, DU Z, HU X et al. High performance integrated photonic circuit based on inverse design method[J]. Opto-Electronic Advances, 5, 210061(2022).

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    Peng HONG, Longxiayu HU, Zixin ZHOU, Haoran QIN, Jiale CHEN, Ye FAN, Tongyu YIN, Junlong KOU, Yanqing LU. Advances of Inverse Design in Photonics(Invited)[J]. Acta Photonica Sinica, 2023, 52(6): 0623001

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    Paper Information

    Category: Optical Device

    Received: Mar. 29, 2023

    Accepted: May. 22, 2023

    Published Online: Jul. 27, 2023

    The Author Email: Junlong KOU (jlkou@nju.edu.cn), Yanqing LU (yqlu@nju.edu.cn)

    DOI:10.3788/gzxb20235206.0623001

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