A simulation study of localization of electromagnetic waves in two-dimensional random dipolar systems

TL;DR

This study investigates how electromagnetic waves localize in two-dimensional random dipolar systems, revealing the conditions and parameters that influence wave localization through numerical analysis and phase diagrams.

Contribution

It introduces a self-consistent numerical approach to analyze electromagnetic wave localization in 2D disordered dipolar systems, incorporating all orders of multiple scattering.

Findings

Localized electromagnetic waves occur at specific frequency ranges.

Localization depends on frequency, damping, and filling factor.

The phase diagram aligns with previous studies on similar systems.

Abstract

We study the propagation and scattering of electromagnetic waves by random arrays of dipolar cylinders in a uniform medium. A set of self-consistent equations, incorporating all orders of multiple scattering of the electromagnetic waves, is derived from first principles and then solved numerically for electromagnetic fields. For certain ranges of frequencies, spatially localized electromagnetic waves appear in such a simple but realistic disordered system. Dependence of localization on the frequency, radiation damping, and filling factor is shown. The spatial behavior of the total, coherent and diffusive waves is explored in detailed, and found to be comply with a physical intuitive picture. A phase diagram characterizing localization is presented, in agreement with previous investigations on other systems.