Scaling pseudo-zernike expansion coefficients to different pupil sizes

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11 Scopus citations


Orthogonal polynomials are routinely used to represent complex surfaces over a specified domain. In optics, Zernike polynomials have found wide application in optical testing, wavefront sensing, and aberration theory. This set is orthogonal over the continuous unit circle matching the typical shape of optical components and pupils. A variety of techniques has been developed to scale Zernike expansion coefficients to concentric circular subregions to mimic, for example, stopping down the aperture size of an optical system. Here, similar techniques are used to rescale the expansion coefficients to new pupil sizes for a related orthogonal set: the pseudo-Zernike polynomials.

Original languageEnglish (US)
Pages (from-to)3076-3078
Number of pages3
JournalOptics letters
Issue number16
StatePublished - Aug 15 2011

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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