Experimental investigation of electric field distributions in a chaotic 3D microwave rough billiard

TL;DR

This study experimentally measures electric field distributions in a 3D chaotic microwave billiard with translational symmetry, comparing results with theoretical predictions and confirming good agreement at high level numbers.

Contribution

First experimental investigation of 3D microwave chaotic billiard electric fields with translational symmetry, including measurement and comparison with theory.

Findings

Electric field distributions measured up to level N=489

Spatial correlation functions agree with theoretical models at high levels

Validates theoretical predictions for 3D chaotic microwave systems

Abstract

We present the first experimental study of the electric field distributions E_N of a three-dimensional (3D) microwave chaotic rough billiard with the translational symmetry. The translational symmetry means that the cross-section of the billiard is invariant under translation along z direction. The 3D electric field distributions were measured up to the level number N = 489. In this way the experimental spatial correlation functions C_{N,p}(x,s) ~ < E_{N,p}(x+1/2*s) E_{N,p}^(*)(x - 1/2*s)> were found and compared with the theoretical ones. The experimental results for higher two-dimensional level number N_{|} appeared to be in good agreement with the theoretical predictions.