Authors

O. Cakmakci; B. Moore; H. Foroosh;J. P. Rolland

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Abbreviated Journal Title

Opt. Express

Keywords

Optics

Abstract

A local optical surface representation as a sum of basis functions is proposed and implemented. Specifically, we investigate the use of linear combination of Gaussians. The proposed approach is a local descriptor of shape and we show how such surfaces are optimized to represent rotationally non-symmetric surfaces as well as rotationally symmetric surfaces. As an optical design example, a single surface off-axis mirror with multiple fields is optimized, analyzed, and compared to existing shape descriptors. For the specific case of the single surface off-axis magnifier with a 3 mm pupil, > 15mm eye relief, 24 degree diagonal full field of view, we found the linear combination of Gaussians surface to yield an 18.5% gain in the average MTF across 17 field points compared to a Zernike polynomial up to and including 10th order. The sum of local basis representation is not limited to circular apertures.

Journal Title

Optics Express

Volume

16

Issue/Number

3

Publication Date

1-1-2008

Document Type

Article

Language

English

First Page

1583

Last Page

1589

WOS Identifier

WOS:000252932500023

ISSN

1094-4087

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