A Model for Quantum Stochastic Absorption in Absorbing Disordered Media

TL;DR

This paper introduces a stochastic absorption model for wave propagation in absorbing disordered media, avoiding unphysical reflections caused by complex potentials and providing a more accurate representation of strong absorption regimes.

Contribution

The paper proposes a novel stochastic absorption model that replaces complex potentials, reducing unphysical reflections and improving modeling accuracy for strongly absorbing disordered media.

Findings

Stochastic absorption eliminates reflection issues present in complex potential models.

Absorption in the stochastic model is proportional to the absorbing parameter.

The model better captures absorption behavior in strong absorption regimes.

Abstract

Wave propagation in coherently absorbing disordered media is generally modeled by adding a complex part to the real part of the potential. In such a case, it is already understood that the complex potential plays a duel role; it acts as an absorber as well as a reflector due to the mismatch of the phase of the real and complex parts of the potential. Although this model gives expected results for weakly absorbing disordered media, it gives unphysical results for the strong absorption regime where it causes the system to behave like a perfect reflector. To overcome this issue, we develop a model here using stochastic absorption for the modeling of absorption by "fake", or "side", channels obviating the need for a complex potential. This model of stochastic absorption eliminates the reflection that is coupled with the absorption in the complex potential model and absorption is proportional to the magnitude of the absorbing parameter. Solving the statistics of the reflection coefficient and its phase for both the models, we argue that stochastic absorption is a potentially better way of modeling absorbing disordered media.