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Effect of pulse entrapping on diffuse reflection from a resonant random medium: Exact solution to the scalar albedo problem. (English) Zbl 0932.74038

A radiative transfer equation with three Lorentzian delay kernels is applied to an albedo problem of the scalar wave field produced by the diffuse reflection of a quasi-monochromatic pulse from a semi-infinite random medium consisting of resonant point-like scatterers. The albedo problem is solved exactly in terms of the Chandrasekhar \(H\)-function \(H(\mu,\lambda)\), extended analytically into the complex single-scattering albedo \(\lambda\) plane. The resulting analytic solution for the time evolution of a diffusely reflected short pulse is used to study on the whole time axis the effect of the redistribution of energy of the propagated pulse.

MSC:

74J20 Wave scattering in solid mechanics
74E35 Random structure in solid mechanics
76Q05 Hydro- and aero-acoustics
78A40 Waves and radiation in optics and electromagnetic theory
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