Orthonormal polynomials for elliptical wavefronts with an arbitrary orientation

descriptionPublicationkeyboard_double_arrow_right Article 25 Mar 2014 English Publisher:Optica Publishing GroupJournal:Applied Optics, volume 53, page 2,051 (issn: 1559-128X, eissn: 2155-3165,

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Authors: Díaz, José A.; Navarro, Rafael;

doi: 10.1364/ao.53.002051

pmid: 24787161

handle: 10261/120873

Orthonormal polynomials for elliptical wavefronts with an arbitrary orientation

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Abstract

We generalize the analytical form of the orthonormal elliptical polynomials for any arbitrary aspect ratio to arbitrary orientation and give expression for them up to the 4th order. The utility of the polynomials is demonstrated by obtaining the expansion up to the 8th order in two examples of an off-axis wavefront exiting from an optical system with a vignetted pupil.

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