A pseudospectral method for solution of the radiative transport equation
Samuel Powell, Ben T. Cox, Simon R. Arridge
TL;DR
This paper introduces a GPU-accelerated pseudospectral method for efficiently solving the time-dependent radiative transport equation in complex 3D media, validated against Monte Carlo simulations.
Contribution
The paper presents a novel pseudospectral numerical technique for solving the radiative transport equation in arbitrary 3D media with anisotropic scattering.
Findings
Excellent agreement with Monte Carlo simulations
Efficient GPU implementation demonstrated
Applicable to complex biological tissues
Abstract
The radiative transport equation accurately describes light transport in participating media such as biological tissues, though analytic solutions are known only for simple geometries. We present a pseudospectral technique to efficiently compute numerical solutions to the time-dependent transport equation in arbitrary three-dimensional heterogeneous media with anisotropic scattering. Our GPU-accelerated implementation of the technique is validated by comparison with a Monte-Carlo simulation, demonstrating excellent agreement.
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