Topology optimization for carpet cloaks by means of an evolutionary strategy

Abstract

This paper presents a topology optimization for carpet cloaks by means of an evolutionary strategy. Carpet cloaks are the cloaking devices which can render an bump on a flat plane invisible by imitating the reflection from the flat plane. The objective function is defined as the integrated intensity of the difference between the reflected wave from flat plane and that from carpet cloaks covering the bumps. The structures of carpet cloaks made of dielectrics are expressed by level set functions and the structural boundaries between air and dielectrics are expressed by the iso-surfaces of the level set functions. Level set functions are optimized by CMA-ES which is the most powerful evolutionary algorithm for multimodal problem. Obtained optimal configurations realize good performance under the explicit perimeter constraint.