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

Kevin G. Phillips, Steven Jacques

Research output: Contribution to journalArticle

8 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)2147-2162
Number of pages16
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number10
Publication statusPublished - Oct 1 2009


ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Electronic, Optical and Magnetic Materials
  • Computer Vision and Pattern Recognition
  • Medicine(all)

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