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1 results

  • 2 - Radiative Transfer Theory for the Isotropic Scattering Model

  • Haruo Sato, Tohoku University, Japan, Kentaro Emoto, Kyushu University
  • Book:
    Seismic Wave Propagation Through Random Media
    Published online:
    31 October 2024
    Print publication:
    14 November 2024, pp 17-33

  • Summary

    Chapter 2 presents the isotropic scattering model, which is mathematically tractable. We introduce the basic concepts of the probability density function of scattering angles and the inverse transform sampling method for constructing the corresponding pseudo-random number generator of scattering angles. We then present the MC simulation of the space–time distribution of the energy density for isotropic radiation from a point source, which is compared with the analytical solution of the radiative transfer equation.