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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.

Summary

Chapter 6 studies vector wave scattering in random elastic media. The Born approximation leads to PP, PS, SP, and SS scattering coefficients, from each of which we construct the corresponding PRNG of scattering angles. Using these in MC simulations, we synthesize three-component RMS velocity amplitude time traces for the radiation from a point shear dislocation (PSD) source. The simulation results are compared with the ensemble average of FD simulation results in random elastic media for a given power spectral density function.

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2 - Radiative Transfer Theory for the Isotropic Scattering Model

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6 - Radiative Transfer Theory for Vector Wavelet Propagation through Random Elastic Media

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2 results

2 - Radiative Transfer Theory for the Isotropic Scattering Model

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6 - Radiative Transfer Theory for Vector Wavelet Propagation through Random Elastic Media

Summary