Quasi-lambertian radiative transfer: Exact analytic solutions

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The evaluation of radiative exchange among quasi-lambertian surfaces has been deemed the domain of raytrace simulations (quasi-lambertian referring to flux distributions that are uniform spatially but within a numerical aperture NA less than unity). The familiar view factors for fully-lambertian surfaces are not valid in this domain. Analytic, physically-transparent solutions are derived for radiation transfer between quasi-lambertian surfaces - solutions that also obviate the need for case-specific time-intensive simulation methods. A generalized reciprocity relation is shown to follow in analogy to the reciprocity theorem for fully-lambertian flux exchange. Representative results of flux maps and flux transfer efficiency for several geometries of practical interest are presented to illustrate the principal features.

Original languageEnglish
Title of host publicationNonimaging Optics
Subtitle of host publicationEfficient Design for Illumination and Solar Concentration VII
StatePublished - 22 Oct 2010
EventNonimaging Optics: Efficient Design for Illumination and Solar Concentration VII - San Diego, CA, United States
Duration: 1 Aug 20104 Aug 2010

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X


ConferenceNonimaging Optics: Efficient Design for Illumination and Solar Concentration VII
Country/TerritoryUnited States
CitySan Diego, CA

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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