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

Imaging by a system with a hexagonal pupil

Not Accessible

Your library or personal account may give you access

Abstract

We obtain a closed-form analytical expression for the aberration-free point-spread function (PSF) of a system with a hexagonal pupil. The six-fold symmetric PSF consists of a nearly circular bright spot at the center surrounded by a thin dark ring and two each nearly hexagonal bright and dark rings, while maintaining the six-fold symmetry. Beyond that the PSF breaks into six diffraction arms, each of alternating bright and dark strips and normal to a side of the pupil, with some dim structure between two consecutive arms. The ensquared power of the PSF and the optical transfer function are calculated and compared with the corresponding quantities for a system with a circular pupil. The balancing of Seidel aberrations is illustrated and their standard deviations with and without balancing are discussed. The Strehl ratio of these aberrations is plotted as a function of the standard deviation and compared with the approximate expression based on the aberration variance.

© 2013 Optical Society of America

Full Article  |  PDF Article
More Like This
Imaging characteristics of Zernike and annular polynomial aberrations

Virendra N. Mahajan and José Antonio Díaz
Appl. Opt. 52(10) 2062-2074 (2013)

Zernike annular polynomials for imaging systems with annular pupils

Virendra N. Mahajan
J. Opt. Soc. Am. 71(1) 75-85 (1981)

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 (9)

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 (3)

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 (72)

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