Current and vorticity auto correlation functions in open microwave billiards

TL;DR

This paper investigates current and vorticity auto correlation functions in open microwave billiards, comparing experimental results with theoretical models, and explores vortex spacing distributions in various cavity configurations.

Contribution

It introduces a detailed analysis of current and vorticity correlations in microwave billiards, validating the random-superposition-of-plane-waves hypothesis with experimental data.

Findings

Auto correlation functions match theoretical predictions.

Vortex neighbor spacing distributions align with existing theories.

Different cavity geometries influence vortex distributions.

Abstract

Using the equivalence between the quantum-mechanical probability density in a quantum billiard and the Poynting vector in the corresponding microwave system, current distributions were studied in a quantum dot like cavity, as well as in a Robnik billiard with lambda=0.4, and an introduced ferrite cylinder. Spatial auto correlation functions for currents and vorticity were studied and compared with predictions from the random-superposition-of-plane-waves hypothesis. In addition different types of vortex neighbour spacing distributions were determined and compared with theory.