Traditionally, the diffusion approximation is derived for a medium with a spatially constant refractive index (Ishimaru 1978 Wave Propagation and Scattering in Random Media vol 1 (New York: Academic)). In this paper, we derive a new diffusion approximation to the radiative transfer equation for a medium with a spatially varying refractive index.
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Khan et al. (2003) studied this question.
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