Intensity Fluctuations in Closed and Open Systems

TL;DR

This paper investigates how intensity distributions in disordered cavities transition from Porter-Thomas to Rayleigh as coupling strength increases, analyzing both single-point and joint intensity statistics.

Contribution

It provides a detailed analysis of intensity fluctuation distributions in open and closed disordered systems, highlighting the crossover behavior with varying coupling.

Findings

Intensity distribution is Porter-Thomas at weak coupling

Distribution transitions to Rayleigh with increased coupling

Joint intensity distribution is also characterized

Abstract

We consider the intensity pattern, generated by a monochromatic source, in a disordered cavity coupled to the environment. For weak coupling, and when the source frequency is tuned to a resonance, the intensity distribution is close to Porter-Thomas distribution. When the coupling increases, gradually crosses over to the Rayleigh distribution. The joint probability distribution for intensities at two different points is also discussed.