Slime mold algorithm for topology optimization: metagratings inverse design

Springer Science and Business Media LLC
Kofi Edee1, Gérard Granet1, Pierre Bonnet1
1Université Clermont Auvergne, Clermont Auvergne INP, CNRS, Institut Pascal, Clermont-Ferrand, F-63000, France

Tóm tắt

AbstractIn this paper we discuss the use of a metaheuristic (MH) gradient-free optimization method, specifically the slime mold algorithm (SMA), combined with the topology optimization (TO) method to design metasurfaces using a spectral modal method. The motivation behind using a MH approach comes from the drawbacks associated with traditional gradient-based methods. Normally, gradient-based methods require the calculation of the electromagnetic (EM) field at certain nodes within the computation domain. However, in spectral modal methods, this is unnecessary since these methods can compute the EM response without the need for field component values. Second, optimizing metagratings often involves a multimodal objective function with multiple local minimums and gradient-based methods might struggle with finding the global optimum. So to overcome these drawbacks, we propose using a MH approach, specifically the slime mold algorithm (SMA). We apply SMA to a metasurface design, especially in the context of TO and spectral methods, which is relatively unexplored. By coupling both TO with SMA, we successfully design metagratings capable of deflecting incident waves into a desired transmission angle.

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Tài liệu tham khảo

Bendsøe M P, Sigmund O (2003) Topology optimization: theory, methods, and applications. Springer Science & Business Media.

Lalau-Keraly CM, Bhargava S, Miller OD, Yablonovitch E. Adjoint shape optimization applied to electromagnetic design. Opt Express. 2013;21:21693–701.

Lu J, Vučković J. Nanophotonic computational design. Opt Express. 2013;21:13351–67.

Yang J, Sell D, Fan J-A. Freeform metagratings based on complex light scattering dynamics for extreme, high efficiency beam steering. Ann Phys. 2018;530:1700302.

Hughes TW, Minkov M, Williamson IAD, Fan S. Adjoint method and inverse design for nonlinear nanophotonic devices. ACS Photonics. 2018;5:4781–7.

Molesky S, Lin Z, Piggott AY, et al. Inverse design in nanophotonics. Nat Photon. 2018;12:659–70.

Lin Z, Groever B, Capasso F, Rodriguez AW, Marko Loncar. Topology-optimized multilayered metaoptics. Phys Rev Appl. 2018;9: 044030.

Phan T, Sell D, Wang EW, Doshay S, Edee K, Yang J, Fan J-A. High-efficiency, large-area, topology-optimized metasurfaces. Light Sci Appl. 2019;8:48.

Knop K. Rigorous diffraction theory for transmission phase gratings with deep rectangular grooves. J Opt Soc Am A. 1978;68:1206–10.

Granet G, Guizal B. Efficient implementation of the coupled-wave method for metallic lamellar gratings in TM polarization. J Opt Soc Am A. 1996;13:1019–23.

Lalanne P, Morris GM. Highly improved convergence of the coupled-wave method for TM polarization. J Opt Soc Am A. 1996;13:779–84.

Edee k, Plumey J-P,. Numerical scheme for the modal method based on subsectional Gegenbauer polynomial expansion: application to biperiodic binary grating. J Opt Soc Am. 2015;31:402–10.

Li S, Chen H, Wang M, Heidari AA, Mirjalili S. Slime mould algorithm: a new method for stochastic optimization. Fut Gener Comput Syst. 2020;111:300–23.

Gharehchopogh FS, Ucan A, Ibrikci T, et al. Slime mould algorithm: a comprehensive survey of its variants and applications. Arch Comput Meth Eng. 2023;30:2683–723.

Jiang J, Fan J-A. Global optimization of dielectric metasurfaces using a physics-driven neural network. Nano Lett. 2019;8:5366–72.

Edee K. Augmented Harris Hawks optimizer with gradient-based-like optimization: inverse design of all-dielectric meta-gratings. Biomimetics. 2023;8(179):1–16.

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