Long-range correlations in rectangular cavities containing point-like perturbations
Abstract
We investigated experimentally the short- and long-range correlations in the fluctuations of the resonance frequencies of flat, rectangular microwave cavities that contained antennas acting as point-like perturbations. We demonstrate that their spectral properties exhibit the features typical for singular statistics. Hitherto, only the nearest-neighbor spacing distribution had been studied. We, in addition considered statistical measures for the long-range correlations and analyzed power spectra. Thereby, we could corroborate that the spectral properties change to semi-Poisson statistic with increasing microwave frequency. Furthermore, the experimental results are shown to be well described by a model applicable to billiards containing a zero-range perturbation [T. Tudorovskiy et al., New. J. Phys. 12, 12302 (2010)].
Keywords
Cite
@article{arxiv.1609.09233,
title = {Long-range correlations in rectangular cavities containing point-like perturbations},
author = {Malgorzata Bialous and Vitalii Yunko and Szymon Bauch and Michal Lawniczak and Barbara Dietz and Leszek Sirko},
journal= {arXiv preprint arXiv:1609.09233},
year = {2016}
}