Semiclassical theory of speckle correlations.
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, namely 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)≫τ(D).
Dahlem Center for Complex Quantum Systems and Fachbereich Physik, Freie Universität Berlin, 14195 Berlin, Germany.
Maxim
M
Breitkreiz
Dahlem Center for Complex Quantum Systems and Fachbereich Physik, Freie Universität Berlin, 14195 Berlin, Germany.
Piet W
PW
Brouwer