Spectra and wavefunctions in a ray-splitting sinai microwave billiard and their semiclassical interpretation

Experimental results on spectra and wave functions of a ray-splitting micro wave billiard are presented. The billiard is formed by a flat rectangular m icrowave cavity with a quarter-circle insert made of teflon in one of the c orners. Using the Gutzwiller trace formula, the contribution of the periodi c orbits of the billiard to the density of states are determined. The wave functions, many of them showing scars associated with periodic orbits, are interpreted in terms of the semiclassical Green function.