Phase statistics of light wave reflected from one-dimensional optical disordered media and its effects on light transport properties

TL;DR

This paper provides a comprehensive numerical analysis of the phase statistics of reflected light in 1D disordered optical media, revealing how phase influences reflection and transport properties across different disorder regimes.

Contribution

It introduces a full numerical solution of the Fokker-Planck equation for phase and reflection coefficient statistics in 1D disordered media, advancing understanding of phase effects on light transport.

Findings

Validation of the random phase approximation in weak disorder regimes

Contribution of phase statistics to reflection averages in strong disorder

Complete characterization of phase and reflection coefficient distributions

Abstract

Light wave reflection from optical disordered media is always associate with its phase, and the phase statistics influence the reflection statistics. We report a detailed numerical study of the statistics of the reflection coefficient RR* and its associated phase(theta) for plane electromagnetic waves reflected from one dimensional (1D) Gaussian white-noise optical disordered media, ranging from weak to strong disordered regimes. We solve numerically the full Fokker-Planck (FP) equation for the joint probability distribution in the RR* - phase(theta) space for different lengths of the sample with different disorder strengths. The statistical optical transport properties of 1D optical disordered media are calculated using the full FP equation numerically. This constitutes a complete solution for the reflection phase statistics and its effects on light transport properties in a 1D Gaussian white-noise disordered optical potentials. Our results show the regime of the validation of the random phase approximations (RPA) or uniform phase distribution, within the Born approximation, as well as the contribution of the phase statistics to the different reflection averages for strong disorder regimes. Results of the previous work reported in the literature relative to the present work also been reviewed and discussed