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Nth order perturbation theory for the diffusion equation revisited

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Abstract

The exact solution of the perturbative diffusion equation for the case of absorbing inclusion is expressed by the Neumann series. In this work we show that by rearranging the terms of the series we obtain the moments of the generalized temporal point spread function. The change of reflectance in continuous wave (CW), frequency-domain, and time-domain can be expressed in a closed form by using these moments. Quasi-constants of photon migration are found when studying the relationship between first and higher order self moments. Some results based on the fourth order perturbation theory developed in this work are shown

© 2006 Optical Society of America

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