30 May 1995 Analytical perturbation theory of photon migration in the presence of a single absorbing or scattering defect sphere
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Abstract
We present an analytical perturbation analysis to study the sensitivity of diffusive photon flux to the addition of a small spherical defect object in turbid multiple scattering media such as human tissue. As a first simple application of this perturbation theory, we derive analytically the photon migration path distribution function for both the infinite medium and the semi- infinite medium geometries. This allows one to write down analytical expressions of the shape and size of the so-called 'banana' region in which the photon migration paths are concentrated. We then derive analytically the sensitivity of detected photon flux densities to the inclusion of a small spherical defect in a turbid tissue medium, for both continuous wave (cw) and frequency modulation conditions, and arbitrary contrast between the optical parameters of the defect sphere and those of the surrounding medium.
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Shechao Charles Feng, Fanan Zeng, Britton Chance, "Analytical perturbation theory of photon migration in the presence of a single absorbing or scattering defect sphere", Proc. SPIE 2389, Optical Tomography, Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation, (30 May 1995); doi: 10.1117/12.209946; https://doi.org/10.1117/12.209946
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