A novel parameterization method for the topology optimization of metallic antenna design

摘要

In this paper, based on a tangential interpola-tion function and an adaptively increasing penalty-factor strategy (TIPS), a novel parameterization method with a self-penalization scheme aimed for the topology optimiza-tion of metallic antenna design is proposed. The topology description is based on the material distribution approach. The proposed tangential interpolation function aims to asso-ciate the material resistance with design variables, in which the material resistance is expressed in the arctangent scale and the arctangent resistance is interpolated with the design variables using the rational approximation of material prop-erties. During the optimization process, a strategy with an adaptively increasing penalty factor is used to eliminate the remaining gray scale elements, as illustrated in examples, in the topology optimization based on the proposed tangen-tial interpolation function. Design results of typical examples express the effectiveness of the proposed TIPS parameteri-zation.