A topology optimisation for far-field characteristics of elastic waves scattered from periodic structures

Abstract

This study presents a topology optimisation for far-field characteristics of elastic waves scattered from periodic structures. We first show that the far-field characteristics can be expressed with a boundary integral on scatteres by exploiting periodic Green's function. Then, a topological derivative of this integral is derived. We finally design a wave motion converter by using the topological derivative and a level-set-based topology optimisation.