Topology optimization of dispersive plasmonic nanostructures in the time-domain

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Original languageEnglish
Pages (from-to)19557-19572
Number of pages16
JournalOptics express
Volume30
Issue number11
Publication statusPublished - 23 May 2022

Abstract

Topology optimization techniques have been applied in integrated optics and nanophotonics for the inverse design of devices with shapes that cannot be conceived by human intuition. At optical frequencies, these techniques have only been utilized to optimize nondispersive materials using frequency-domain methods. However, a time-domain formulation is more efficient to optimize materials with dispersion. We introduce such a formulation for the Drude model, which is widely used to simulate the dispersive properties of metals, conductive oxides, and conductive polymers. Our topology optimization algorithm is based on the finite-difference time-domain (FDTD) method, and we introduce a time-domain sensitivity analysis that enables the evaluation of the gradient information by using one additional FDTD simulation. The existence of dielectric and metallic structures in the design space produces plasmonic field enhancement that causes convergence issues. We employ an artificial damping approach during the optimization iterations that, by reducing the plasmonic effects, solves the convergence problem. We present several design examples of 2D and 3D plasmonic nanoantennas with optimized field localization and enhancement in frequency bands of choice. Our method has the potential to speed up the design of wideband optical nanostructures made of dispersive materials for applications in nanoplasmonics, integrated optics, ultrafast photonics, and nonlinear optics.

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Topology optimization of dispersive plasmonic nanostructures in the time-domain. / Hassan, Emadeldeen; Calà Lesina, Antonio.
In: Optics express, Vol. 30, No. 11, 23.05.2022, p. 19557-19572.

Research output: Contribution to journalArticleResearchpeer review

Hassan E, Calà Lesina A. Topology optimization of dispersive plasmonic nanostructures in the time-domain. Optics express. 2022 May 23;30(11):19557-19572. doi: 10.48550/arXiv.2203.01462, 10.1364/OE.458080
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abstract = "Topology optimization techniques have been applied in integrated optics and nanophotonics for the inverse design of devices with shapes that cannot be conceived by human intuition. At optical frequencies, these techniques have only been utilized to optimize nondispersive materials using frequency-domain methods. However, a time-domain formulation is more efficient to optimize materials with dispersion. We introduce such a formulation for the Drude model, which is widely used to simulate the dispersive properties of metals, conductive oxides, and conductive polymers. Our topology optimization algorithm is based on the finite-difference time-domain (FDTD) method, and we introduce a time-domain sensitivity analysis that enables the evaluation of the gradient information by using one additional FDTD simulation. The existence of dielectric and metallic structures in the design space produces plasmonic field enhancement that causes convergence issues. We employ an artificial damping approach during the optimization iterations that, by reducing the plasmonic effects, solves the convergence problem. We present several design examples of 2D and 3D plasmonic nanoantennas with optimized field localization and enhancement in frequency bands of choice. Our method has the potential to speed up the design of wideband optical nanostructures made of dispersive materials for applications in nanoplasmonics, integrated optics, ultrafast photonics, and nonlinear optics.",
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note = "Funding Information: Acknowledgement. The computations were performed on resources provided by the Swedish National Infrastructure for Computing (SNIC) at HPC2N center; the central computing cluster operated by Leibniz University IT Services (LUIS); and the North German Supercomputing Alliance (HLRN). A.C.L. acknowledges the German Federal Ministry of Education and Research (BMBF) under the Tenure-Track Program. The publication of this article was funded by the Open Access Fund of the Leibniz Universit{\"a}t Hannover. We acknowledge the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany{\textquoteright}s Excellence Strategy within the Cluster of Excellence PhoenixD (EXC 2122, Project ID 390833453). ",
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