Barabanenkov, Yu. N.; Barabanenkov, M. Yu.; Winebrenner, D. P. Effect of pulse entrapping on diffuse reflection from a resonant random medium: Exact solution to the scalar albedo problem. (English) Zbl 0932.74038 Waves Random Media 8, No. 4, 451-463 (1998). 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 Keywords:Chandrasekhar \(H\)-function; complex single-scattering albedo plane; radiative transfer equation; Lorentzian delay kernels; quasi-monochromatic pulse; redistribution of energy PDFBibTeX XMLCite \textit{Yu. N. Barabanenkov} et al., Waves Random Media 8, No. 4, 451--463 (1998; Zbl 0932.74038) Full Text: DOI