Long-range correlations in rectangular cavities containing pointlike perturbations

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 pointlike perturbations. We demonstrate that their spectral properties exhibit the features typical for sin...

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Bibliographic Details
Published in:Physical review. E 2016-10, Vol.94 (4-1), p.042211-042211, Article 042211
Main Authors: Białous, Małgorzata, Yunko, Vitalii, Bauch, Szymon, Ławniczak, Michał, Dietz, Barbara, Sirko, Leszek
Format: Article
Language:English
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Summary: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 pointlike perturbations. We demonstrate that their spectral properties exhibit the features typical for singular statistics. Hitherto, only the nearest-neighbor spacing distribution had been studied. In addition we 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, 123021 (2010)NJOPFM1367-263010.1088/1367-2630/12/12/123021].
ISSN:2470-0045
2470-0053
DOI:10.1103/PhysRevE.94.042211