Scarred and Chaotic Field Distributions in a Three-Dimensional Sinai-Microwave Resonator

Abstract

For about 200 eigenfrequencies of a Sinai-shaped three-dimensional microwave resonator electromagnetic field distributions were mapped by measuring the eigenfrequency shift $\ensuremath{\Delta}\ensuremath{\nu}$ as a function of the position of a spherical perturbing bead. Both regular and chaotic field patterns were found. For the chaotic field distributions all components of the electromagnetic field were found to be uncorrelated and Gaussian distributed.