Jen-Hao Yeh, James A. Hart, Elliott Bradshaw, Thomas M. Antonsen, Edward Ott, Steven M. Anlage
Published 2009-09-14, updated 2009-11-11Version 2
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.
Comments: 4 pages, 3 figures
Journal: Phys. Rev. E 81, 025201(R) (2010)
The effect of short ray trajectories on the scattering statistics of wave chaotic systems
Noninteracting fermions in a trap and random matrix theory
Nonlinear perturbation of Random Matrix Theory
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