散斑相关的半经典理论
Semiclassical theory of speckle correlations
摘要：
相干波在随机介质中的传播导致特征散斑图案，其具有与短程和长程行为的空间强度相关性。在这里，我们展示了如何散斑关联函数可以从两个代表性的几何形状的射线图片获得：一个混沌腔和随机波导。我们的计算使我们能够研究“射线极限”和“波极限”之间的交叉，其中，Eklfest时间$τ_E$分别大于或小于典型的传输时间$τ_D$。值得注意的是，长程散斑相关性在射线极限$τ_E \gg τ_D$中持续存在。
英文摘要：
Coherent wave propagation in random media results in a characteristic speckle pattern, with spatial intensity correlations with short-range and long-range behavior. Here, we show how the speckle correlation function can be obtained from a ray picture for two representative geometries: A chaotic cavity and a random waveguide. Our calculation allows us to study the crossover between a "ray limit" and a "wave limit", in which the Ehrenfest time $τ_E$ is larger or smaller than the typical transmission time $τ_D$, respectively. Remarkably, long-range speckle correlations persist in the ray limit $τ_E \gg τ_D$.
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