Experimental observation of localized modes in a dielectric square resonator.
We investigated the frequency spectra and field distributions of a dielectric square resonator in a microwave experiment. Since such systems cannot be treated analytically, the experimental studies of their properties are indispensable. The momentum representation of the measured field distributions shows that all resonant modes are localized on specific classical tori of the square billiard. Based on these observations a semiclassical model was developed. It shows excellent agreement with all but a single class of measured field distributions that will be treated separately.
Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany and Laboratoire de Photonique Quantique et Moléculaire, CNRS UMR 8537, Institut d'Alembert FR 3242, École Normale Supérieure de Cachan, F-94235 Cachan, France.
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S
Bittner
Université Paris-Sud, CNRS, LPTMS, UMR 8626, Orsay, F-91405, France.
E
E
Bogomolny
Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany.
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B
Dietz
Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany.
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M
Miski-Oglu
Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany.
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A
Richter