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Proceedings Paper

Analytical solutions of the simplified spherical harmonics equations for infinite and semi-infinite scattering medium based on Eigen method
Author(s): Limin Zhang; Wei Zhang; Feng Gao; Jiao Li; Huijuan Zhao
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Paper Abstract

We derive a modification method to simplify the SPN coupled partial differential equations into some independent equations. The modification leads to significant mathematical simplifications and can be used to calculate the Green’s function of the SPN equations for infinite and semi-infinite turbid medium. The obtained analytical solutions depend on eigenvectors and eigenvalues. Compared with the derived methods based on coupled equations, the derivation process of our proposed method is general, fast and simple. The derived analytical solutions are successfully verified by comparisons with Monte Carlo simulations.

Paper Details

Date Published: 25 March 2013
PDF: 7 pages
Proc. SPIE 8578, Optical Tomography and Spectroscopy of Tissue X, 85782G (25 March 2013); doi: 10.1117/12.2003014
Show Author Affiliations
Limin Zhang, Tianjin Univ. (China)
Wei Zhang, Tianjin Univ. (China)
Feng Gao, Tianjin Univ. (China)
Jiao Li, Tianjin Univ. (China)
Huijuan Zhao, Tianjin Univ. (China)

Published in SPIE Proceedings Vol. 8578:
Optical Tomography and Spectroscopy of Tissue X
Bruce J. Tromberg; Arjun G. Yodh; Eva Marie Sevick-Muraca, Editor(s)

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