R-matrix theory of driven electromagnetic cavities

Abstract

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 Schroedinger equations, the results present insight into the resonance structure of regular and chaotic quantum billiards.

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References in corpus (4)

• Wave Dynamical Chaos in a Superconducting Three-Dimensional Sinai Billiard
• Experimental Test of a Trace Formula for a Chaotic Three Dimensional Microwave Cavity
• Phase shift experiments identifying Kramers doublets in a chaotic superconducting microwave billiard of threefold symmetry
• Residual Symmetries in the Spectrum of Periodically Driven Alkali Rydberg States

Cited by in corpus (12)

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• Experimental Examination of the Effect of Short Ray Trajectories in Two-port Wave-Chaotic Scattering Systems
• Universal and non-universal properties of wave chaotic scattering systems
• Impedance and Scattering Variance Ratios of Complicated Wave Scattering Systems in the Low Loss Regime
• Bound States in Sharply Bent Waveguides: Analytical and Experimental Approach
• Wave scattering properties of multiple weakly-coupled complex systems
• Uncovering Universal Wave Fluctuations In a Scaled Ray-Chaotic Cavity With Remote Injection
• Double-Slit Experiments with Microwave Billiards
• Scattering Statistics in Nonlinear Wave Chaotic Systems
• Nonlinear Wave Chaos: Statistics of Second Harmonic Fields