Random polarization dynamics in a resonant optical medium

TL;DR

This paper models and analyzes the stochastic polarization switching of optical pulses in a disordered medium using an integrable Maxwell-Bloch framework, supported by analytical and numerical methods.

Contribution

It introduces an analytical approach to describe polarization-switching statistics in a disordered optical medium within an integrable Maxwell-Bloch model.

Findings

Analytical results match Monte-Carlo simulations for polarization statistics.

The model captures the dynamics of polarization switching in disordered media.

Provides insights into the stochastic behavior of optical pulses in complex media.

Abstract

Random optical-pulse polarization switching along an active optical medium in the $\Lambda$-configuration with spatially disordered occupation numbers of its lower energy sub-level pair is described using the idealized integrable Maxwell-Bloch model. Analytical results describing the light polarization-switching statistics for the single self-induced transparency pulse are compared with statistics obtained from direct Monte-Carlo numerical simulations.