Simplex optimization method for illumination design

R. John Koshel

Research output: Contribution to journalArticlepeer-review

49 Scopus citations


A modified simplex optimization method is developed for the design of illumination systems. The simplex method is a judicious choice for illumination optimization because of its robustness and convergence properties. To optimize the simplex method, its four parameters are adjusted dependent on the dimensionality of the space to converge with fewer iterations. This work is presented for the end game, when the optimizer is converging on a local optimum rather than searching for it. Up to a 37% reduction in the number of computations is realized. An example using a compound parabolic concentrator is compared between the standard and the modified simplex methods, providing over 22% improvement in the end game.

Original languageEnglish (US)
Pages (from-to)649-651
Number of pages3
JournalOptics letters
Issue number6
StatePublished - Mar 15 2005

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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