Results 131 to 140 of about 1,461 (175)

Zernike Polynomials and Optical Aberrations

Applied Optics, 1995
The use of Zernike polynomials to calculate the standard deviation of a primary aberration across a circular, annular, or a Gaussian pupil is described. The standard deviation of secondary aberrations is also discussed briefly.
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Zernike Polynomials and Beyond

Latin America Optics and Photonics Conference, 2010
We discuss why we use Zernike circle polynomials in optics, when to use them, and what to use in their place when not to use them.
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Modal Reconstruction Methods With Zernike Polynomials

Journal of Refractive Surgery, 2005
ABSTRACT PURPOSE: To compare the advantages and disadvantages of different techniques for fitting Zernike polynomials to surfaces. METHODS: Two different methods, Orthogonal Projection and Gram-Schmidt orthogonalization, are compared in terms of speed and performance at fitting a complex object.
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Vector polynomials orthogonal to the gradient of Zernike polynomials

Optics Letters, 1982
A set of vector polynomials is constructed, and it is shown that they are orthonormal to the gradient of the Zernike polynomials. Such a set can be used to obtain directly the Zernike decomposition of the wave front from the measurements involving the gradient of the wave front.
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Zernike polynomials and aberration balancing

SPIE Proceedings, 2003
For 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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Three topics in Zernike polynomials

SPIE Proceedings, 2004
ABSTRACT 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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Zernike Polynomials and Wavefronts

2017
A wavefront from a source at infinity arrives as a plane wave having no structure related to the nature of the source. However, as the wavefront is reflected from or passes through an optical system, it can become aberrated; i.e., the plane wave changes from being flat to taking on structure.
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Regression Analysis Of Zernike Polynomials

SPIE Proceedings, 1987
In evaluating the performance of a mirror by interferometric methods, a standard procedure used by the optical engineer is to obtain the optical path difference (OPD) map from the fringes of the interferogram and to express the differences in terms of a least squares fit of the classical Zernike polynomials.
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Zernike Polynomials

2017
Craig Olson, Julie Bentley
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Cone Dimensions in Keratoconus Using Zernike Polynomials

Optometry and Vision Science, 1997
To determine the physical dimensions and location of the cone in keratoconic corneas from videokeratoscopic height data.Corneal height date from keratoconus patients are obtained with a commercial videokeratoscope and decomposed into the set of orthogonal Zernike polynomials.
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