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.
CITATION STYLE
Yunko, V., Białous, M., Bauch, S., Ławniczak, M., & Sirko, L. (2019). Experimental and numerical study of spectral properties ofâ three-dimensional chaotic microwave cavities: the case of missing levels. In Springer Proceedings in Complexity (pp. 303–315). Springer. https://doi.org/10.1007/978-3-030-15297-0_27
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