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arxiv: 0909.2674 · v2 · submitted 2009-09-14 · ❄️ cond-mat.stat-mech · cond-mat.dis-nn· nlin.CD

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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