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Title: Zernike expansion of separable functions of Cartesian coordinates
Authors: Sheppard, C.J.R. 
Campbell, S.
Hirschhorn, M.D.
Issue Date: 10-Jul-2004
Citation: Sheppard, C.J.R., Campbell, S., Hirschhorn, M.D. (2004-07-10). Zernike expansion of separable functions of Cartesian coordinates. Applied Optics 43 (20) : 3963-3966. ScholarBank@NUS Repository.
Abstract: A Zernike expansion over a circle is given for an arbitrary function of a single linear spatial coordinate. The example of a half-plane mask (Hilbert filter) is considered. The expansion can also be applied to cylindrical aberrations over a circular pupil. A product of two such series can thus be used to expand an arbitrary separable function of two Cartesian coordinates. © 2004 Optical Society of America.
Source Title: Applied Optics
ISSN: 00036935
DOI: 10.1364/AO.43.003963
Appears in Collections:Staff Publications

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