Design of perfectly conducting objects that are invisible to an incident plane wave

TL;DR

This paper presents a method to design finite planar waveguides with periodic barriers that are nearly invisible to incident TM plane waves, achieving extremely low scattering amplitudes through optimized boundary configurations.

Contribution

The work introduces an optimization approach for periodic barrier arrays in waveguides to minimize scattering, utilizing advanced boundary integral equations for precise evaluation.

Findings

Scattered field amplitude reduced to less than 10^{-9} times the incident wave

Effective boundary integral technique for objects with complex boundaries

Optimized barrier array design achieves near invisibility

Abstract

This work concerns the design of perfectly conducting objects that are invisible to an incident transverse magnetic plane wave. The object in question is a finite planar waveguide with a finite periodic array of barriers. By optimizing this array, the amplitude of the scattered field is reduced to less than $10^{-9}$ times the amplitude of the incident plane wave everywhere outside the waveguide. To accurately evaluate such minute amplitudes, we employ a recently developed boundary integral equation technique, adapted for objects whose boundaries have endpoints, corners, and branch points.