Using spherical harmonics to describe large-angle freeform lenses

Caleb Gannon, Rongguang Liang

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


We propose the use of spherical harmonics for large-angle freeform lenses as a dramatic improvement over polynomials set on the disk and plane, such as Zernike and X -Y polynomials. This new representation enables fitting of surfaces designed in spherical coordinates, such as freeform illumination lenses that would be impossible to describe with respect to a plane. The proposed representation is validated through an extremely compact, high-performance design.

Original languageEnglish (US)
Pages (from-to)8143-8147
Number of pages5
JournalApplied optics
Issue number28
StatePublished - Oct 1 2018

ASJC Scopus subject areas

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


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