I will present an analysis of a striking phenomenon observed experimentally: The enhancement of wave transmission due to coherent interference effects in random media with mirror symmetry about a wave barrier. The mathematical model is the acoustic wave equation and we consider two setups where the wave propagation is along a preferred direction: randomly layered media and randomly perturbed waveguides.
We use the asymptotic stochastic theory of wave propagation in random media to characterize the statistical moments of the random transmission and reflection coefficients which are scalar valued in layered media and matrix valued in waveguides. With these moments we can quantify explicitly the enhancement of the mean transmitted intensity induced by symmetry.
Joint work with Josselin Garnier from Ecole Polytechnique, France.
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