Universal statistics of the scattering coefficient of chaotic microwave cavities.
We consider the statistics of the scattering coefficient S of a chaotic microwave cavity coupled to a single port. We remove the nonuniversal effects of the coupling from the experimental S data using the radiation impedance obtained directly from the experiments. We thus obtain the normalized scattering coefficient whose probability density function (PDF) is predicted to be universal in that it depends only on the loss (quality factor) of the cavity. We compare experimental PDFs of the normalized scattering coefficients with those obtained from random matrix theory (RMT), and find excellent agreement. The results apply to scattering measurements on any wave chaotic system.
Hemmady
Sameer
S
Department of Physics, University of Maryland, College Park, Maryland 20742, USA.
Zheng
Xing
X
Antonsen
Thomas M
TM
Ott
Edward
E
Anlage
Steven M
SM