Topology Optimization Procedure to Minimize Radar Cross Section of Perfectly Electric Conductive Structures

Abstract

In this paper, we introduce level set based optimization framework to find optimum shape and topology of perfectly electric conductive (PEC) structure for achieving minimum radar cross section (RCS). The geometry of the structure and it's domain implicitly expressed by scalar level set function and corresponding shape boundary is updated via Hamilton-Jacobi differential equation through optimization iterations. In differential equation boundary propagation speed is determined with the solution of sensitivity analysis of electric field integral equation over PEC surface. Derived integral and differential equations are solved using method of moments (MOM) and upwind scheme techniques respectively. The suggested algorithm is exampled on two dimensional RCS problem and results will be introduced during presentation. This study shows us method can be successfully applicable other electromagnetic problems where optimal shape and topology is looked for.