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

Nonparaxial theory of curved holograms

Not Accessible

Your library or personal account may give you access

Abstract

Nonparaxial imaging by holograms on a spherical surface, with a limited circular cross section, is formulated mathematically. Starting from a point-shaped object, the image point (called the point of reference) is redefined such that the deviation in the positions of the actual image-forming wave front and a spherical wave front centered around this point contains no terms of the first order in the hologram coordinates. Furthermore, their second-order contribution, averaged over the hologram, vanishes. The remaining terms up to the fourth order describe the primary aberrations. Compared with earlier theories, this formulation yields a more accurate position for the holographic image. In addition, expressions are obtained for the primary aberrations, which not only consist of astigmatism, coma, and spherical aberration but also contain three additional contributions, which occurred as higher-order aberrations in previous literature. Experiments support our conclusions.

© 1986 Optical Society of America

Full Article  |  PDF Article
More Like This
Aberrations in nonparaxial holography

Katsuya Goto and Mikio Kitaoka
J. Opt. Soc. Am. A 5(3) 397-402 (1988)

Aberrations of holographic toroidal grating systems

Michael P. Chrisp
Appl. Opt. 22(10) 1508-1518 (1983)

Aberration coefficients of curved holographic optical elements

P. E. Verboven and P. E. Lagasse
Appl. Opt. 25(22) 4150-4154 (1986)

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 (6)

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 (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 (38)

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