Numerical solution of many-body wave scattering problem for small particles

TL;DR

This paper develops a numerical method for simulating wave scattering by many small particles, enabling the design of materials with specific optical properties, with results aligning well with theoretical predictions.

Contribution

It introduces a numerical approach for many-body wave scattering problems under specific size and spacing assumptions, facilitating material design.

Findings

Numerical results agree with theoretical predictions.

Method enables simulation of materials with tailored refraction coefficients.

Approach applicable for small particles with impedance boundary conditions.

Abstract

A numerical approach to the problem of wave scattering by many small particles is developed under the assumptions k<<1, d>>a, where a is the size of the particles and d is the distance between the neighboring particles. On the wavelength one may have many small particles. An impedance boundary conditions are assumed on the boundaries of small particles. The results of numerical simulation show good agreement with the theory. They open a way to numerical simulation of the method for creating materials with a desired refraction coefficient.