30 May 1995 Perturbation theory for optical diffusion theory: general approach for absorbing and scattering objects in tissue
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Abstract
We develop a perturbation theory for diffuse light transport in random media that is applicable to objects with different scattering and absorption than the surrounding medium. The effect of an object with increased absorption is a simple depletion of the surrounding light field. An object with increased scattering causes a similar depletion that can be interpreted as scattering induced absorption. Additionally, a sharp transition of the scattering coefficient at the surface causes a dipole-like surface induced back scattering of light in the direction of the source. In an example we show that the first order 'Born' approximation fails for too strong perturbations, but that an iterative algorithm to calculate higher order approximations can still yield accurate results.
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Martin R. Ostermeyer, Martin R. Ostermeyer, Steven L. Jacques, Steven L. Jacques, } "Perturbation theory for optical diffusion theory: general approach for absorbing and scattering objects in tissue", Proc. SPIE 2389, Optical Tomography, Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation, (30 May 1995); doi: 10.1117/12.209957; https://doi.org/10.1117/12.209957
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