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

Study of Zernike polynomials of an elliptical aperture obscured with an elliptical obscuration

Not Accessible

Your library or personal account may give you access

Abstract

In this research, Zernike polynomials for a unit annular elliptical aperture (ellipse inscribed by a unit circle of unit radius obscured by elliptical obscuration) have been studied in Cartesian coordinates and in polar coordinates. These polynomials have been shown to form a complete basis orthogonal on a unit annular ellipse aperture, and they represent balanced classical aberrations just as Zernike circular polynomials in a unit circle.

© 2012 Optical Society of America

Full Article  |  PDF Article
More Like This
Study of Zernike polynomials of an elliptical aperture obscured with an elliptical obscuration: comment

José Antonio Díaz and Virendra N. Mahajan
Appl. Opt. 52(24) 5962-5964 (2013)

Study of Zernike polynomials of an elliptical aperture obscured with an elliptical obscuration: reply

Sundus Y. Hasan and Ali S. Shaker
Appl. Opt. 52(24) 5965-5966 (2013)

Orthonormal polynomials in wavefront analysis: analytical solution

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

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

Figures (3)

You do not have subscription access to this journal. Figure files 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 (6)

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 (14)

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