| The spectra and wavefunctions of a circular and a square dielectric microwave resonators were measured in order to investigate properties of dielectric billiards. Dielectric square billiards were predicted to feature superscarred states [M. Lebental, N. Djellali, C. Arnaud, J.-S. Lauret, J. Zyss, R. Dubertrand, C. Schmit and E. Bogomolny, Phys. Rev. A 76, 023830 (2007)], i.e. wavefunctions which are strongly localized on a family of periodic orbits. Measurements for a square alumina (Al2O3) resonator show a large variety of superscarred states. Indeed, all observed wavefunction can be interpreted in terms of a superscar model. A semiclassical trace formula recently proposed for dielectric billiards [E. Bogomolny, R. Dubertrand and C. Schmit, Phys. Rev. E 78, 056202 (2008).] was tested with a circular Teflon resonator. Agreement up to a certain extent is observed; deviations are attributed to modes which due to their large widths cannot be observed experimentally. The work presented in this talk was supported by DFG within SFB 634. |
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