to be announcedUsing a chaotic microwave billiard connected to a vector network
analyzer we measured complex valued transmission and reflection
spectra with two antennas acting as single scattering channels. The
resulting scattering (S-) matrix elements serve as the basis for the
investigation of properties of higher-order correlation functions. It
is by now well established that for chaotic microwave billiards with
and without time-reversal invariance the autocorrelation function of
pairs of complex conjugate S-matrix elements can be described by
random matrix results based on the supersymmetry method. However,
little is known on the properties of higher-order correlation
functions, viz. the three- and four-point functions. The current work
presents experimental results and sheds some light on the theoretical
treatment. This work was supported by the DFG within the SFB 634. |
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