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 Citations (Scopus)

Abstract

An investigation of the normal incidence of an infinite plane wave on a slab of uniformly scattering media is undertaken using the P N-method. We demonstrate the computational competitiveness of the P N-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 publicationProgress in Biomedical Optics and Imaging - Proceedings of SPIE
Volume6864
DOIs
StatePublished - 2008
Externally publishedYes
EventBiomedical Applications of Light Scattering II - San Jose, CA, United States
Duration: Jan 19 2008Jan 21 2008

Other

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

Fingerprint

Radiative transfer
Scattering
Forward scattering
Lighting

Keywords

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

ASJC Scopus subject areas

  • Engineering(all)

Cite this

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

A universal numerical treatment of radiative transport equations with differential and integral scattering operators. / Phillips, Kevin G.; Lancellotti, Carlo.

Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 6864 2008. 68640Z.

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

Phillips, KG & Lancellotti, C 2008, A universal numerical treatment of radiative transport equations with differential and integral scattering operators. in Progress in Biomedical Optics and Imaging - Proceedings of SPIE. vol. 6864, 68640Z, Biomedical Applications of Light Scattering II, San Jose, CA, United States, 1/19/08. https://doi.org/10.1117/12.762508
Phillips KG, Lancellotti C. A universal numerical treatment of radiative transport equations with differential and integral scattering operators. In Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 6864. 2008. 68640Z https://doi.org/10.1117/12.762508
Phillips, Kevin G. ; Lancellotti, Carlo. / A universal numerical treatment of radiative transport equations with differential and integral scattering operators. Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Vol. 6864 2008.
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