Abstract

The conventional approach to nanophotonic metasurface design and optimization for a targeted electromagnetic response involves exploring large geometry and material spaces. This is a highly iterative process based on trial and error, which is computationally costly and time consuming. Moreover, the non-uniqueness of structural designs and high non-linearity between electromagnetic response and design makes this problem challenging. To model this unintuitive relationship between electromagnetic response and metasurface structural design as a probability distribution in the design space, we introduce a framework for inverse design of nanophotonic metasurfaces based on cyclical deep learning (DL). The proposed framework performs inverse design and optimization mechanism for the generation of meta-atoms and meta-molecules as metasurface units based on DL models and genetic algorithm. The framework includes consecutive DL models that emulate both numerical electromagnetic simulation and iterative processes of optimization, and generate optimized structural designs while simultaneously performing forward and inverse design tasks. A selection and evaluation of generated structural designs is performed by the genetic algorithm to construct a desired optical response and design space that mimics real world responses. Importantly, our cyclical generation framework also explores the space of new metasurface topologies. As an example application of the utility of our proposed architecture, we demonstrate the inverse design of gap-plasmon based half-wave plate metasurface for user-defined optical response. Our proposed technique can be easily generalized for designing nanophtonic metasurfaces for a wide range of targeted optical response.

Highlights

  • The conventional approach to nanophotonic metasurface design and optimization for a targeted electromagnetic response involves exploring large geometry and material spaces

  • A typical sample from the dataset is shown in Fig. 1a, which is a pair of Al-nanoantennae structural design represented as a 2D-cross sectional image of 64 × 64 pixels and with corresponding conversion efficiency of an incident left circular polarization (LCP) to a right circular polarization (RCP) as optical response

  • We found that the mean square error (MSE) of simulation neural network (SNN) and conditional generative adversarial network (cGAN) increased to 0.0531 and 0.0486, respectively on test samples

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Summary

Introduction

The conventional approach to nanophotonic metasurface design and optimization for a targeted electromagnetic response involves exploring large geometry and material spaces This is a highly iterative process based on trial and error, which is computationally costly and time consuming. Conventional fully connected (FC) N­ Ns14 and convolutional neural networks (CNNs)[15] have been used for nanophotonic metasurface design and optimization for the targeted optical ­response[16] Most of these methods either encounter the limitation of optimizing a single candidate design or the requirement of a large dataset for the training process. This NN architecture addresses the inverse design of nanophotonic metasurface as a regression problem, mapping optical response to structural design space This approach forces the network to converge to one of the several solutions. Simultaneously training these NNs introduces problems in proper hyper-parameters selection due to co-dependence of both NNs and can result in poor c­ onvergence[25]

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