Probing Anderson localization of light via decay rate statistics

TL;DR

This paper investigates the distribution of resonant widths in multi-dimensional light scattering systems, demonstrating that a power-law distribution indicates Anderson localization of light, confirmed through numerical simulations.

Contribution

It provides the first numerical evidence that the power-law distribution of decay rates is a universal signature of Anderson localization of light in open systems.

Findings

Resonant width distribution follows a universal power law in localized regimes

Power-law behavior confirms exponential Anderson localization of light

Numerical simulations support the theoretical interpretation

Abstract

We have studied the distribution of resonant widths $P (\Gamma)$ in one-, two- and three dimensional multiple light scattering systems. $P (\Gamma)$ should follow a universal power law $P (\Gamma) \sim \Gamma^{-1}$ in the localized regime as confirmed by extensive numerical calculations. This behavior can be interpreted as an unambiguous signature of exponential Anderson localization of light in open systems.