Universal and non-universal properties of wave chaotic scattering systems

TL;DR

This paper demonstrates that the average impedance matrix in wave-chaotic scattering systems can be semiclassically derived from ray trajectories, revealing universal statistical properties validated by microwave billiard experiments.

Contribution

It introduces a semiclassical method to calculate the average impedance matrix, linking system-specific properties to universal wave-chaotic scattering statistics.

Findings

Theoretical predictions match experimental microwave billiard results.

Universal statistics are successfully uncovered in wave-chaotic scattering.

The approach connects ray trajectories to impedance properties.

Abstract

The application of random matrix theory to scattering requires introduction of system-specific information. This paper shows that the average impedance matrix, which characterizes such system-specific properties, can be semiclassically calculated in terms of ray trajectories between ports. Theoretical predictions are compared with experimental results for a microwave billiard, demonstrating that the theory successfully uncovered universal statistics of wave-chaotic scattering systems.