A fast algorithm for radiative transport in isotropic media

2016/10/04 by Kui Ren, Ren, Kui, Rongting Zhang +3 · 4 citations
Engineering · Mathematics · Physics and Astronomy · #Computational Physics (physics.comp-ph) #Electromagnetic Scattering and Analysis #FOS: Mathematics #FOS: Physical sciences #Microwave Imaging and Scattering Analysis #Nuclear Theory (nucl-th) #Numerical Analysis (math.NA) #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1610.00835

openalex publication_date 2016/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose in this work a fast numerical algorithm for solving the equation of radiative transfer (ERT) in isotropic media. The algorithm has two steps. In the first step, we derive an integral equation for the angularly averaged ERT solution by taking advantage of the isotropy of the scattering kernel, and solve the integral equation with a fast multipole method (FMM). In the second step, we solve a scattering-free transport equation to recover the original ERT solution. Numerical simulations are presented to demonstrate the performance of the algorithm for both homogeneous and inhomogeneous media.

Citations

• Optical tomography in medical imaging

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