Abstract

We describe the aberrations of diffraction gratings without any restrictions on the symmetry of the substrate, the curvature of the grooves, or the position of the entrance slit. The theory can also be applied to holographic gratings, holographic lenses, synthetic holograms, zone plates, and other diffracting instruments. The description comprises second-order focusing conditions, including the generalization of the Rowland circle and the conditions for astigmatism, length, slope, and curvature of the focal lines, comatic and fourth-order aberrations. In particular we show the relations between the aberrations of second and higher orders. The theory is applied in this paper to astigmatic mountings of the Rowland type, and to mountings of the Wadsworth and Eagle type that we call anastigmatic. We give special attention to the conditions for freedom of coma of anastigmatic mountings.

© 1976 Optical Society of America

Full Article  |  PDF Article

Corrections

C. H. F. Velzel, "Errata," J. Opt. Soc. Am. 67, 1695-1695 (1977)
https://www.osapublishing.org/josa/abstract.cfm?uri=josa-67-12-1695

OSA Recommended Articles
Aberration balancing for grating mountings with large aberrations

C. H. F. Velzel
J. Opt. Soc. Am. 68(1) 38-41 (1978)

On the imaging properties of holographic gratings

C. H. F. Velzel
J. Opt. Soc. Am. 67(8) 1021-1027 (1977)

The Geometric Optical Aberration Theory of Diffraction Gratings

W. Werner
Appl. Opt. 6(10) 1691-1699 (1967)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

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

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 OSA member, or as an authorized user of your institution.

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

Figures (5)

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

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

Equations (71)

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

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