Results 151 to 160 of about 6,949 (194)

Zernike-Tatian polynomials for interferogram reduction

Applied Optics, 1980
Work on orthogonal polynomials by Tatian has been incorporated into a computer program for interferogram analysis. For obscured-aperture optical systems, the data reduction is far more accurate than with programs based only on Zernike polynomials. Results are shown for spherical aberration, coma, and astigmatism.
W H, Swantner, W H, Lowrey
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Phase wavefront aberration modeling using Zernike and pseudo-Zernike polynomials

Journal of the Optical Society of America A, 2013
Orthogonal polynomials can be used for representing complex surfaces on a specific domain. In optics, Zernike polynomials have widespread applications in testing optical instruments, measuring wavefront distributions, and aberration theory. This orthogonal set on the unit circle has an appropriate matching with the shape of optical system components ...
Kambiz, Rahbar, Karim, Faez, Ebrahim, Attaran Kakhki   +2 more
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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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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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