微波腔内波混沌散射的初步研究
Preliminary study of wave-chaotic scattering in microwave cavity
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摘要: 通过建立的微波腔模拟产生大量腔体散射矩阵和辐射散射矩阵，并转化得到归一化散射矩阵和阻抗矩阵。利用戴桑环系综对归一化散射矩阵的本征值和本征相位进行了统计分析，其本征值的模和本征相位具有统计独立性，且本征相位近似均一分布，验证了腔体中波混沌散射的存在。对数值模拟和随机矩阵理论预测得到的归一化阻抗的统计特性进行了比较，其结果基本一致，说明随机矩阵理论对归一化阻抗具有一定的预测功能。Abstract: The ensemble of the cavity scattering matrix and the corresponding radiation scattering matrix were computed, which were converted into normalized scattering matrix and normalized impedance matrix. Eigenvalues of the normalized scattering matrix were statistically analyzed by Dyson’s circular ensemble. The statistical independence of the magnitude and phase of the normalized eigenvalues were verified, and the phase is approximate to a uniform distribution, proving the existence of wavechaotic scattering in the cavity. There is a good agreement between the numerically determined marginal PDFs and those generated from random matrix theory．
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