Interpolation formula for the reflection coefficient distribution of absorbing chaotic cavities in the presence of time reversal symmetry

TL;DR

This paper introduces an interpolation formula for the reflection coefficient distribution in absorbing chaotic cavities with time reversal symmetry, bridging known limits and simplifying complex existing results.

Contribution

It presents a new interpolation formula that approximates the reflection coefficient distribution in absorbing chaotic cavities with time reversal symmetry, aligning with known limits.

Findings

The interpolation formula matches strong and weak absorption limits.

Comparison shows the formula approximates complex exact results.

Provides a simplified analytical tool for chaotic cavity analysis.

Abstract

We propose an interpolation formula for the distribution of the reflection coefficient in the presence of time reversal symmetry for chaotic cavities with absorption. This is done assuming a similar functional form as that when time reversal invariance is absent. The interpolation formula reduces to the analytical expressions for the strong and weak absorption limits. Our proposal is compared to the quite complicated exact result existing in the literature.