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Published on: July 1, 2019
Universal and nonuniversal properties of wave-chaotic scattering systems
Jen-Hao Yeh1, James A Hart, Elliott Bradshaw
1Electrical and Computer Engineering Department, University of Maryland, College Park, Maryland 20742-3285, USA.
Abstract:
Prediction of the statistics of scattering in typical wave-chaotic systems requires combining system-specific information with universal aspects of chaotic scattering as described by random matrix theory. This Rapid Communication 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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