title: Dielectric square resonator investigated with microwave experiments.
abstract: We present a detailed experimental study of the symmetry properties and the momentum space representation of the field distributions of a dielectric square resonator as well as the comparison with a semiclassical model. The experiments have been performed with a flat ceramic microwave resonator. Both the resonance spectra and the field distributions were measured. The momentum space representations of the latter evidenced that the resonant states are each related to a specific classical torus, leading to the regular structure of the spectrum. Furthermore, they allow for a precise determination of the refractive index. Measurements with different arrangements of the emitting and the receiving antennas were performed and their influence on the symmetry properties of the field distributions was investigated in detail, showing that resonances with specific symmetries can be selected purposefully. In addition, the length spectrum deduced from the measured resonance spectra and the trace formula for the dielectric square resonator are discussed in the framework of the semiclassical model.
authors.affiliation: Laboratoire de Photonique Quantique et Moléculaire, CNRS UMR 8537, Institut d'Alembert FR 3242, École Normale Supérieure de Cachan, F-94235 Cachan, France.
authors.forename: S
authors.initials: S
authors.lastname: Bittner
authors.affiliation: Université Paris-Sud, LPTMS, CNRS UMR 8626, Orsay, F-91405, France.
authors.forename: E
authors.initials: E
authors.lastname: Bogomolny
authors.affiliation: Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany.
authors.forename: B
authors.initials: B
authors.lastname: Dietz
authors.affiliation: Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany.
authors.forename: M
authors.initials: M
authors.lastname: Miski-Oglu
authors.affiliation: Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany.
authors.forename: A
authors.initials: A
authors.lastname: Richter