波动混沌散射系统的普适性与非普适性
Universal and non-universal properties of wave chaotic scattering systems
摘要:
随机矩阵理论在散射中的应用需要引入系统特定的信息。本文表明,平均阻抗矩阵,它表征这样的系统特定的属性,可以半经典计算端口之间的射线轨迹。理论预测与微波台球的实验结果进行了比较,表明该理论成功地揭示了波混沌散射系统的普遍统计。
英文摘要:
The application of random matrix theory to scattering requires introduction of system-specific information. This paper shows that the average impedance matrix, which characterizes such system-specific properties, can be semiclassically calculated in terms of ray trajectories between ports. Theoretical predictions are compared with experimental results for a microwave billiard, demonstrating that the theory successfully uncovered universal statistics of wave-chaotic scattering systems.
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