Universal and non-universal properties of wave chaotic scattering systems
classification
❄️ cond-mat.stat-mech
cond-mat.dis-nnnlin.CD
keywords
scatteringmatrixpropertiessystem-specificsystemstheoryuniversalapplication
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The application of random matrix theory to scattering requires introduction of system-specific information. This paper shows that the average impedance matrix, which characterizes such system-specific properties, can be semiclassically calculated in terms of ray trajectories between ports. Theoretical predictions are compared with experimental results for a microwave billiard, demonstrating that the theory successfully uncovered universal statistics of wave-chaotic scattering systems.
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