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

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

2009-03-17

arxiv.org/abs/0903.2932v1

Phys. Rev. E 75, 037202 (2007)

Nonlinear Sciences

Chaotic Dynamics

10 pages, 5 figures

Scientific paper

10.1103/PhysRevE.75.037202

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.

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