Using spherical harmonics to describe large-angle freeform lenses

Caleb Gannon; Rongguang Liang

doi:10.1364/AO.57.008143

Using spherical harmonics to describe large-angle freeform lenses

Caleb Gannon, Rongguang Liang

Optical Sciences

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	8143-8147
Number of pages	5
Journal	Applied optics
Volume	57
Issue number	28
DOIs	https://doi.org/10.1364/AO.57.008143
State	Published - Oct 1 2018

ASJC Scopus subject areas

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

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10.1364/AO.57.008143

Cite this

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abstract = "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.",

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Using spherical harmonics to describe large-angle freeform lenses

Abstract

ASJC Scopus subject areas

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