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arXiv · 1810.11368

Experimental and numerical study of spectral properties of three-dimensional chaotic microwave cavities: The case of missing levels

Vitalii Yunko·Małgorzata Białous·Szymon Bauch·Michał Ławniczak·Leszek Sirko
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Abstract

We present an experimental and numerical study of missing-level statistics of chaotic three-dimensional microwave cavities. The nearest-neighbor spacing distribution, the spectral rigidity, and the power spectrum of level fluctuations were investigated. We show that the theoretical approach to a problem of incomplete spectra does not work well when the incompleteness of the spectra is caused by unresolved resonances. In such a case the fraction of missing levels can be evaluated by calculations based on random matrix theory.

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Vitalii Yunko, Małgorzata Białous, Szymon Bauch, Michał Ławniczak, Leszek Sirko. 2018-10-22. Experimental and numerical study of spectral properties of three-dimensional chaotic microwave cavities: The case of missing levels. https://arxiv.org/abs/1810.11368

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