Experimental investigation of the fluctuations in nonchaotic scattering in microwave billiards

Zhang Runzu^{1, 2}, Zhang Weihua^{1, 2}, Dietz Barbara^{1, 2, †}, Chai Guozhi², Huang Liang^{1, 2}

Experimental distribution of the modulus of the reflection matrix elements r = ∣ S aa ∣ for (a) the empty cavity (black histogram) and for (b) one (black histogram) and three (red histogram) added scatterers in comparison to the GOE result (turquoise dashed lines) obtained from a fit of the analytical distribution to that for the cavity with three disks. The transmission coefficients associated with the antennas were approximately the same and equaled T a ≃ T b = 0.091 , 0.119 , 0.165 in the frequency ranges [3.0,3.5], [3.5,4.0], [4.0,4.5] GHz, respectively.