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2 - Radiative Transfer Theory for the Isotropic Scattering Model

Published online by Cambridge University Press:  31 October 2024

Haruo Sato  and
Kentaro Emoto
Haruo Sato
Affiliation:
Tohoku University, Japan
Kentaro Emoto
Affiliation:
Kyushu University
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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.

Keywords

scattering cross sectionscattering coefficientGreen's functionisotropic scattering modelpseudo-random number generator (PRNG)inverse transform sampling method
Type
Chapter
Information
Seismic Wave Propagation Through Random Media
Monte Carlo Simulation Based on the Radiative Transfer Theory
 , pp. 17 - 33
Publisher: Cambridge University Press
Print publication year: 2024

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