Solution of transport equations in layered media with refractive index mismatch using the PN-method

Kevin G. Phillips; Steven L. Jacques

doi:10.1364/JOSAA.26.002147

Solution of transport equations in layered media with refractive index mismatch using the P_N-method

Kevin G. Phillips, Steven L. Jacques

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

The P_N-method is a spectral discretization technique used to obtain numerical solutions to the radiative transport equation. To the best of our knowledge, the P_N-method has yet to be generalized to the case of refractive index mismatch in layered slabs used to numerically simulate skin. Our main contribution is the application of a collocation method that takes into account refractive index mismatch at layer interfaces. The stability, convergence, and accuracy of the method are established. Example calculations demonstrating the flexibility of the method are performed.

Original language	English (US)
Pages (from-to)	2147-2162
Number of pages	16
Journal	Journal of the Optical Society of America A: Optics and Image Science, and Vision
Volume	26
Issue number	10
DOIs	https://doi.org/10.1364/JOSAA.26.002147
State	Published - Oct 1 2009
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Computer Vision and Pattern Recognition

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10.1364/JOSAA.26.002147

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AB - The PN-method is a spectral discretization technique used to obtain numerical solutions to the radiative transport equation. To the best of our knowledge, the PN-method has yet to be generalized to the case of refractive index mismatch in layered slabs used to numerically simulate skin. Our main contribution is the application of a collocation method that takes into account refractive index mismatch at layer interfaces. The stability, convergence, and accuracy of the method are established. Example calculations demonstrating the flexibility of the method are performed.

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Solution of transport equations in layered media with refractive index mismatch using the P_N-method

Abstract

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