Enhanced wave transmission in random media with mirror symmetry - Archive ouverte HAL
Article Dans Une Revue Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Année : 2024

Enhanced wave transmission in random media with mirror symmetry

L. Borcea

Résumé

We present an analysis of enhanced wave transmission through random media with mirror symmetry about a reflecting barrier. The mathematical model is the acoustic wave equation, and we consider two setups, where the wave propagation is along a preferred direction: in a randomly layered medium and in a randomly perturbed waveguide. We use the asymptotic stochastic theory of wave propagation in random media to characterize the statistical moments of the frequency-dependent 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 net mean transmitted intensity, induced by wave interference near the barrier.

Dates et versions

hal-04686182 , version 1 (03-09-2024)

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L. Borcea, Josselin Garnier. Enhanced wave transmission in random media with mirror symmetry. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2024, 480 (2292), ⟨10.1098/rspa.2024.0073⟩. ⟨hal-04686182⟩
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