Multiscale Physics-Informed Neural Networks for the Inverse Design of Finite-Size Hyperuniform Metamaterials

Autor: Riganti, Roberto, Zhu, Yilin, Cai, Wei, Torquato, Salvatore, Negro, Luca Dal
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: In this article, we employ multiscale physics-informed neural networks (MscalePINNs) for the inverse retrieval of the spatially inhomogeneous effective permittivity and for the homogenization of finite-size photonic media with stealthy hyperuniform (SHU) disordered geometries. Specifically, we show that MscalePINNs can capture the fast spatial variations of complex fields scattered by arrays of dielectric nanocylinders arranged according to isotropic SHU point patterns, thus enabling a systematic methodology to inversely retrieve their effective dielectric profiles. Our approach extends the recently developed high-frequency homogenization theory of hyperuniform media and retrieves more general permittivity profiles for applications-relevant finite-size SHU systems, unveiling unique features related to their isotropic nature. In particular, we numerically corroborate the existence of a transparency region beyond the long-wavelength approximation, enabling effective and isotropic homogenization even without disorder-averaging, in contrast to the case of uncorrelated Poisson random patterns. The flexible multiscale network approach introduced here enables the efficient inverse design of more general effective media and finite-size metamaterials with isotropic electromagnetic responses beyond the limitations of traditional homogenization theories.
Databáze: arXiv