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) = were found
and compared with the theoretical ones. The experimental results
appeared to be in good agreement with the theoretical predictions.
We also found the dependence of the number of nodal domains
lying on the cross-sectional planes of the
cavity on the two-dimensional level number. Nodal
domains are regions where a wave function has a definite sign.
The experimental result are compared with the predictions
of percolation theory.
