arXiv:nlin/0303035 · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

R -matrix theory of driven electromagnetic cavities

F. Beck, C. Dembowski, A. Heine, A. Richter

Published Jun 17, 2003• 19 citations

Abstract

The resonances of cylindrical symmetric microwave cavities are analyzed in R-matrix theory, which transforms the input channel conditions to the output channels. Single and interfering double resonances are studied and compared with experimental results obtained with superconducting microwave cavities. Because of the equivalence of the two-dimensional Helmholtz and the stationary Schrödinger equations, the results give insight into the resonance structure of regular and chaotic quantum billiards.

DOI: 10.1103/physreve.67.066208

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