Statistics of Impedance and Scattering Matrices in Chaotic Microwave Cavities: Single Channel Case
Statistics of Impedance and Scattering Matrices in Chaotic Microwave Cavities: Single Channel Case
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混沌微波腔中阻抗和散射矩阵的统计：单通道情况
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
E. Ott
中科院分区：
文献类型：
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作者：
Xing Zheng;T. Antonsen;E. Ott
本文研究了若干传输线或波导连接的开放式电磁腔的阻抗(Z)和散射(S)矩阵的统计性质。本文主要讨论单端口情况。在另一篇论文中对多端口的推广进行了处理。我们考虑的模型是基于对封闭系统混沌特征函数的假设性质。对模型的分析成功地再现了被认为是通用的随机矩阵模型的特征，同时结合了由Mello等人的泊松核处理的特定于单个系统的特征。腔阻抗Z的统计特性是根据辐射阻抗（即当腔壁移动到无穷大时，在一个端口处看到的阻抗）得到的。讨论了壁面吸收的影响。理论预测是通过与具体系统的数值解直接比较来验证的。(这里“普适”一词是用来表示一般系统的成员所共有的高频统计特性，其相应的射线轨迹是混沌的。根据定义，这些通用属性独立于系统特定的细节。)
We study the statistical properties of the impedance (Z) and scattering (S) matrices of open electromagnetic cavities with several transmission lines or waveguides connected to the cavity. In this paper, we mainly discuss the single port case. The generalization to multiple ports is treated in a companion paper. The model we consider is based on assumed properties of chaotic eigenfunctions for the closed system. Analysis of the model successfully reproduces features of the random matrix model believed to be universal, while at the same time incorporating features which are specific to individual systems as treated by the Poisson kernel of Mello et al. Statistical properties of the cavity impedance Z are obtained in terms of the radiation impedance (i.e., the impedance seen at a port with the cavity walls moved to infinity). Effects of wall absorption are discussed. Theoretical predictions are tested by direct comparison with numerical solutions for a specific system. (Here the word universal is used to denote high frequency statistical properties that are shared by the members of the general class of systems whose corresponding ray trajectories are chaotic. These universal properties are, by definition, independent of system-specific details.)