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Med Phys. 2000 Jan;27(1):252-64.

The finite element model for the propagation of light in scattering media: a direct method for domains with nonscattering regions.

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  • 1Department of Computer Science, University College London, England.

Abstract

We present a method for handling nonscattering regions within diffusing domains. The method develops from an iterative radiosity-diffusion approach using Green's functions that was computationally slow. Here we present an improved implementation using a finite element method (FEM) that is direct. The fundamental idea is to introduce extra equations into the standard diffusion FEM to represent nondiffusive light propagation across a nonscattering region. By appropriate mesh node ordering the computational time is not much greater than for diffusion alone. We compare results from this method with those from a discrete ordinate transport code, and with Monte Carlo calculations. The agreement is very good, and, in addition, our scheme allows us to easily model time-dependent and frequency domain problems.

PMID:
10659765
[PubMed - indexed for MEDLINE]
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