A New Material Sensitivity Analysis for Electromagnetic Inverse Problems

Abstract

This paper presents a new self-adjoint material sensitivity formulation for optimal designs and inverse problems in the high frequency domain. The proposed method is based on the continuum approach using the augmented Lagrangian method. Using the self-adjoint formulation, there is no need to solve the adjoint system additionally when the goal function is a function of the S-parameter. In addition, the algorithm is more general than most previous approaches because it is independent of specific analysis methods or gridding techniques, thereby enabling the use of commercial EM simulators and various custom solvers. For verification, the method was applied to the several numerical examples of dielectric material reconstruction problems in the high frequency domain, and the results were compared with those calculated using the conventional method.

A Hybrid ON/OFF Method for Fast Solution of Electromagnetic Inverse Problems Based on Topological Sensitivity

“…These are dominant mode incident waves of unit magnitude at port 1 and 2, for the calculation of S 11 and S 22 , respectively. It should be noted that since the objective function is given in terms of S 11 and S 22 , there is no need to solve the adjoint system, and λ can be directly obtained from the primary system using the self-adjoint formulation given in [1]. This procedure can be summarized as follows:…”

“…Recently, the material sensitivity (MS) formulation based on a variational approach was derived for use in the high frequency domain [1]. Combined with deterministic optimization methods, MS can achieve a considerable decrease in the computation time for the electromagnetic inverse problem when compared to stochastic methods.…”

“…Material sensitivity in the high frequency domain can be derived based on a variational approach and the augmented Lagrangian method (ALM) as follows [1]. Fig.…”