Optimal design of electromagnetic cloaks with multiple dielectric materials by topology optimization

Abstract

This paper presents an optimal design method for electromagnetic cloaks composed of multiple dielectric materials based on a topology optimization. To obtain optimal configurations that are perfectly free from intermediate materials, so-called grayscales, we apply a Multi-Material Level Set topology description model. The level set functions that are design variables are updated using topological derivatives that also function as design sensitivities, and we derive the topological derivatives for multiple materials. Three numerical examples demonstrate the validity of the proposed method and the advantage of using multiple materials.

Compact low radar cross‐section microstrip patch antenna using particle swarm optimization

“…Topology optimization methods, in which some intelligent algorithms are combined, have attracted wide attention in metastructure design studies . In this study, PSO algorithm method is utilized to solve the optimization problem.…”

“…Topology optimization methods, in which some intelligent algorithms are combined, have attracted wide attention in metastructure design studies. [16][17][18] In this study, PSO algorithm method is utilized to solve the optimization problem. The advantages of PSO over other population-based optimization methods are as follows: simple structure, instant accessibility for practical applications, ease of implementation, and obtaining fast and robust solutions.…”

Multiphase topology optimization with a single variable using the phase‐field design method

“…25 The multivariable issue has been also applied to the level-set design method by introducing multiple level-set functions to define the phase combination of several materials. [26][27][28][29][30] However, those approaches also require the increase of the level-set function number as the number of material increases. Such increase in variable number in accordance with the number of materials leads to an increase in computational cost, and the design process becomes complicated due to the calculation of the design sensitivity for the added variables.…”

Optimizing the structural topology of bifunctional invisible cloak manipulating heat flux and direct current

“…Topology optimization is the most flexible numerical method of structural design with the highest level of design freedom and allows for topological changes, including the appearance of holes, during an optimization procedure. This methodology improves device performance drastically, and optimal cloaking structures have been designed in optics, [11][12][13][14][15][16] acoustics, 17,18 thermotics, 19,20 and electrical engineering. 21,22 However, these topologyoptimized cloaks exhibit cloaking only for one type of physics (i.e., in the design of unifunctional cloaks), because existing topology optimization approaches for cloaking improve structures only through the analysis of a single physical flow.…”