Universal and non-universal properties of wave chaotic scattering systems

The application of random matrix theory to scattering requires introduction of system-specific information. Here, we show that the average impedance matrix, which characterizes such system-specific properties, can be semiclassically calculated in terms of ray trajectories between ports [1]. We compare theoretical predictions with experimental results for a microwave billiard, demonstrating that the theory successfully uncovered universal statistics of wave-chaotic scattering systems [2]. These results should be broadly useful in nuclear scattering, atomic physics, quantum transport in condensed matter systems, electromagnetics, acoustics, geophysics, etc. [1] James A. Hart, T. M. Antonsen, E. Ott, "\textbf{The effect of short ray trajectories on the scattering statistics of wave chaotic systems}," \underline {Phys. Rev. E }\underline {\textbf{80}}\underline {, 041109~(2009)}. [2] Jen-Hao Yeh, \textit{et al}., \underline {arXiv:0909.2674}.