Effect of short ray trajectories on the scattering statistics of wave chaotic systems
Effect of short ray trajectories on the scattering statistics of wave chaotic systems
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DOI：
10.1103/physreve.80.041109
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发表时间：
2009-10-01
影响因子：
2.4
通讯作者：
Ott, E.
中科院分区：
文献类型：
--
作者：
Hart, J. A.;Antonsen, T. M., Jr.;Ott, E.
在许多情况下，具有混沌经典极限的波系统的统计性质可以用随机矩阵理论很好地描述。然而，随机矩阵理论的散射问题的应用程序需要引入系统的具体信息的统计模型，如在泊松核的平均散射矩阵的介绍。在这里，它示出的平均阻抗矩阵，这也表征了系统的特定属性，可以表示在经典的轨迹，端口之间的旅行，因此可以计算半经典。对一个模型波动混沌系统的理论结果与数值解进行了比较。
In many situations, the statistical properties of wave systems with chaotic classical limits are well described by random matrix theory. However, applications of random matrix theory to scattering problems require introduction of system-specific information into the statistical model, such as the introduction of the average scattering matrix in the Poisson kernel. Here, it is shown that the average impedance matrix, which also characterizes the system-specific properties, can be expressed in terms of classical trajectories that travel between ports and thus can be calculated semiclassically. Theoretical results are compared with numerical solutions for a model wave chaotic system.