波混沌腔体中阻抗和散射的通用特性

Universal statistic properties in microwave chaotic systems

摘要:

以计算机机箱腔体为例，开展实验得到了大量的腔体散射矩阵和辐射散射矩阵。通过Dyson圆系综验证了微波腔体中波混沌散射的存在。对于给定波混沌腔体系统的损耗，可以通过随机矩阵理论得到系统的归一化阻抗和归一化导纳。将实验得到的以及依据随机矩阵理论得到的归一化阻抗进行比较，其结果一致，说明随机矩阵理论对波混沌系统具有预测功能。实验得到的归一化阻抗和归一化导纳的统计特性也一致，这两个物理量与系统的耦合无关。

Abstract:

The ensemble of the cavity scattering matrix and the corresponding radiation scattering matrix were obtained within the computer-box cavity. For a given Loss-Case cavity，normalized impedance and normalized admittance were obtained by random matrix theory. Dyson’s circular ensemble proved the existence of wave-chaotic in the cavity. The good agreements between the experimentally observed values and the Random Matrix Theory results were achieved for the normalized impedance, which indicated the prediction function of random matrix theory on wave chaotic systems. There was a good agreement between the statistic properties of normalized impedance and normalized admittance obtained in experiments，which testified that these two physical quantities were unaffected by the coupling of systems.