Experimental Study of Generic Billiards with Microwave Resonators

In this work we study the eigenstates and the energy spectra of a generic billiard system with the use of microwave resonators. This is possible due to the exact correspondence between the Schrodinger equation and the electric field equations of the lowest modes in thin microwave resonators. We obtain a goodagreement between the numerical (exact) and experimental eigenstates, while the short range experimental spectral statistics show the expectedBrody-like behaviour in this energy range, as opposedto the Berry-Robnik picture which is validonly in the semiclassical region of sufficiently small effective Planck's constant.