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Universal and nonuniversal properties of wave-chaotic scattering systems Jen-Hao Yeh,1
 

Summary: Universal and nonuniversal properties of wave-chaotic scattering systems
Jen-Hao Yeh,1
James A. Hart,2
Elliott Bradshaw,2
Thomas M. Antonsen,1,2
Edward Ott,1,2
and Steven M. Anlage1,2
1
Electrical and Computer Engineering Department, University of Maryland, College Park, Maryland 20742-3285, USA
2
Physics Department, University of Maryland, College Park, Maryland 20742-4111, USA
Received 3 September 2009; published 3 February 2010
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 com-
pared with experimental results for a microwave billiard, demonstrating that the theory successfully uncovered
universal statistics of wave-chaotic scattering systems.
DOI: 10.1103/PhysRevE.81.025201 PACS number s : 05.45.Mt, 03.65.Nk, 03.65.Sq, 05.60.Gg
Wave systems appear in diverse branches of physics, such

  

Source: Anlage, Steven - Center for Superconductivity Research & Department of Physics, University of Maryland at College Park

 

Collections: Materials Science