Physics-informed neural network for inversely predicting effective material properties of metamaterials

Abstract

Conventionally, design methodologies employed deep learning model based on physics which considers only real (permittivity) term and ignores the imaginary (conductivity) term in complex loss function which fail to help in design of complex structures and limit their applications to scenarios such as array of metamaterial structures. Present application provides systems and method implement apply a Physics-Informed Neural Network (PINN) for inversely calculating the effective material parameters of a multi-dimensional metamaterial from its scattered field(s). By employing a loss function based on the Helmholtz wave equation, performance of a metamaterial is modeled by the system the dependance of resonant behavior on the homogenized electric permittivity distribution profile generated by the PINN is demonstrated.