Tailoring freeform illumination optics in a double-pole coordinate system

Donglin Ma, Zexin Feng, Rongguang Liang

Research output: Contribution to journalArticlepeer-review

43 Scopus citations


We have developed a new method to design freeform illumination optics by introducing a double-pole coordinate system in ray mapping. This method establishes a much more accurate ray mapping by moving the two poles of the spherical coordinate system to the southernmost point of the sphere and overlapping them together. It can reduce surface error and improve illumination uniformity significantly. The residual surface error (RSE) of the freeform lens designed in the double-pole coordinate system is one magnitude smaller than that of the lens designed in the (θ; φ) coordinate system and is only 1/3 of that of the freeform surface designed in the (u; v) coordinate system.

Original languageEnglish (US)
Pages (from-to)2395-2399
Number of pages5
JournalApplied optics
Issue number9
StatePublished - 2015

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Engineering (miscellaneous)
  • Electrical and Electronic Engineering


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