Efficient Green's Function and Jacobian Matrix Calculations for Optical Tomography Problems Near Boundaries using Phase-Function-Corrected Diffusion Theory Approximations

摘要

Recently developed phase-function corrected diffusion theory is applied to the problem of computing Jacobian matrices in the transport regime. We propose additional approximations that lead to simplified transport-regime expressions for the Jacobian matrices that may be evaluated by Monte Carlo simulations, phase-function-corrected diffusion models, or recently developed analytical solutions to the radiative transport equation.