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

Vector polynomials for direct analysis of circular wavefront slope data

Not Accessible

Your library or personal account may give you access

Abstract

In the aberration analysis of a circular wavefront, Zernike circle polynomials are used to obtain its wave aberration coefficients. To obtain these coefficients from the wavefront slope data, we need vector functions that are orthogonal to the gradients of the Zernike polynomials, and are irrotational so as to propagate minimum uncorrelated random noise from the data to the coefficients. In this paper, we derive such vector functions, which happen to be polynomials.

© 2017 Optical Society of America

Full Article  |  PDF Article

Corrections

Virendra N. Mahajan and Eva Acosta, "Vector polynomials for direct analysis of circular wavefront slope data: publisher’s note," J. Opt. Soc. Am. A 34, 1990-1990 (2017)
https://opg.optica.org/josaa/abstract.cfm?uri=josaa-34-11-1990

22 September 2017: A typographical correction was made to paragraph 2 of page 1912.

9 October 2017: A typographical correction was made to Eq. (2).


More Like This
Orthonormal polynomials in wavefront analysis: analytical solution

Virendra N. Mahajan and Guang-ming Dai
J. Opt. Soc. Am. A 24(9) 2994-3016 (2007)

Zernike radial slope polynomials for wavefront reconstruction and refraction

Jayoung Nam, Larry N. Thibos, and D. Robert Iskander
J. Opt. Soc. Am. A 26(4) 1035-1048 (2009)

Vector polynomials for direct analysis of circular wavefront slope data: erratum

Virendra N. Mahajan and Eva Acosta
J. Opt. Soc. Am. A 34(12) 2250-2250 (2017)

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 (2)

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 (52)

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