Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Vector polynomials orthogonal to the gradient of Zernike polynomials

Not Accessible

Your library or personal account may give you access

Abstract

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.

© 1982 Optical Society of America

Full Article  |  PDF Article
More Like This
Orthonormal vector general polynomials derived from the Cartesian gradient of the orthonormal Zernike-based polynomials

Cosmas Mafusire and Tjaart P. J. Krüger
J. Opt. Soc. Am. A 35(6) 840-849 (2018)

Gram–Schmidt orthogonalization of the Zernike polynomials on apertures of arbitrary shape

Robert Upton and Brent Ellerbroek
Opt. Lett. 29(24) 2840-2842 (2004)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (1)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (29)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved