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Zernike polynomials and aberration balancing
SPIE Proceedings, 2003For small aberrations, the Strehl ratio of an imaging system depends on the aberration variance. If the aberration function is expanded in terms of a complete set of polynomials that are orthogonal over the system aperture, then the variance is given by the sum of the square of the aberration coefficients.
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On the Mathematical Properties of the Zernike Polynomials
Optica Acta: International Journal of Optics, 1976(1976). On the Mathematical Properties of the Zernike Polynomials. Optica Acta: International Journal of Optics: Vol. 23, No. 8, pp. 679-680.
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Three topics in Zernike polynomials
SPIE Proceedings, 2004ABSTRACT Three different topics concerning the Zernike polynomials are investigated. First, the Zernike expansion of a function only of the coordinate x is considered. Second, a set of functions orthogonal for an electromagnetic optical system of high aperture are developed.
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Mathematics of Zernike polynomials: a review.
Clinical & experimental ophthalmology, 2012Monochromatic aberrations of the eye principally originate from the cornea and the crystalline lens. Aberrometers operate via differing principles but function by either analysing the reflected wavefront from the retina or by analysing an image on the retina.
Colm, McAlinden +2 more
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