Electromagnetic wave scattering by many conducting small particles

TL;DR

This paper develops a rigorous theoretical framework for understanding how electromagnetic waves scatter when interacting with many small perfectly conducting particles, including the case where their number becomes very large.

Contribution

It introduces a new rigorous theory for EM wave scattering by numerous small conducting particles, especially addressing the limit as their number approaches infinity.

Findings

Established a mathematical model for scattering by many particles.

Analyzed the limiting behavior as the number of particles increases.

Provided insights into the collective scattering effects.

Abstract

A rigorous theory of electromagnetic (EM) wave scattering by small perfectly conducting particles is developed. The limiting case when the number of particles tends to infinity is discussed.