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J Opt Soc Am A Opt Image Sci Vis. 2009 Oct;26(10):2147-62. doi: 10.1364/JOSAA.26.002147.

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

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Department of Dermatology, Oregon Health and Science University, 3181 SW Sam Jackson Park Road, L468R Portland, Oregon 97201, USA.


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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