Fractional optimization of illumination optics

R. John Koshel

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

7 Scopus citations


In order to bound yet keep realistic optical shapes for freeform illumination optics, fractional optimization is employed. By allowing the shape variables to freely vary, optimization leads to bizarre shapes that cannot be manufactured. Therefore, fractional shape variables that are referenced to other system variables are set. Optimization of the pseudo-collimation of an LED using a hybrid optic is presented. The shape of the hybrid optic is described by non-uniform rational B-splines (NURBS). Two examples of this system are optimized: maximum transfer efficiency into an intensity distribution of ±10° and maximum transfer and uniformity over this same angular range.

Original languageEnglish (US)
Title of host publicationNovel Optical Systems Design and Optimization XI
StatePublished - 2008
EventNovel Optical Systems Design and Optimization XI - San Diego, CA, United States
Duration: Aug 10 2008Aug 14 2008

Publication series

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


OtherNovel Optical Systems Design and Optimization XI
Country/TerritoryUnited States
CitySan Diego, CA


  • Freeform
  • Hybrid optic
  • Illumination
  • Nonimaging optics
  • Optical design
  • Optimization

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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