A universal numerical treatment of radiative transport equations with differential and integral scattering operators

Kevin G. Phillips, Carlo Lancellotti

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

An investigation of the normal incidence of an infinite plane wave on a slab of uniformly scattering media is undertaken using the PN-method. We demonstrate the computational competitiveness of the PN-method, not only in its ability to provide timely solutions even for strongly anisotropic scattering (g > 0.9), but also in its ability to simultaneously treat various theories of scattering such as the Henyey- Greenstein model, the Fokker-Planck forward scattering approximation using the Laplace-Beltrami operator, and the Leakeas-Larsen rational approximation. We also discuss the extendibility of the method to the study of backscatter and transmission due to normally incident collimated pencil beam illumination.

Original languageEnglish (US)
Title of host publicationBiomedical Applications of Light Scattering II
DOIs
StatePublished - Apr 21 2008
EventBiomedical Applications of Light Scattering II - San Jose, CA, United States
Duration: Jan 19 2008Jan 21 2008

Publication series

NameProgress in Biomedical Optics and Imaging - Proceedings of SPIE
Volume6864
ISSN (Print)1605-7422

Other

OtherBiomedical Applications of Light Scattering II
CountryUnited States
CitySan Jose, CA
Period1/19/081/21/08

Keywords

  • Fokker-Planck equation
  • Forward-scattering approximation
  • P-method
  • Radiative transport equation
  • Tissue-light interaction

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Biomaterials
  • Atomic and Molecular Physics, and Optics
  • Radiology Nuclear Medicine and imaging

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  • Cite this

    Phillips, K. G., & Lancellotti, C. (2008). A universal numerical treatment of radiative transport equations with differential and integral scattering operators. In Biomedical Applications of Light Scattering II [68640Z] (Progress in Biomedical Optics and Imaging - Proceedings of SPIE; Vol. 6864). https://doi.org/10.1117/12.762508