Abstract

One can derive fourth-order optical ray deviations for a mirror or grating from the optical path function by using the analytical code reduce. Some of the aberrations are discussed for normal-incidence and grazing-incidence monochromators. The nonlinear transformation of light from the source to the image plane of a mirror or grating is represented by a transformation matrix. The optical properties of a combination of several optical elements are given by the product of the matrices of the individual optical elements. The matrix elements can be interpreted as optical aberrations. A program has been written that optimizes a complete beam line with respect to various optical aberrations by minimizing an appropriate cost function that is built from a weighted sum of the matrix elements.

© 1995 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Relativistic aberration of optical phase space

Kurt Bernardo Wolf
J. Opt. Soc. Am. A 10(9) 1925-1934 (1993)

Automatic computation of optical aberration coefficients

T. Brender Andersen
Appl. Opt. 19(22) 3800-3816 (1980)

Generation of third-order spherical and coma aberrations by use of radially symmetrical fourth-order lenses

N. López-Gil, H. C. Howland, B. Howland, N. Charman, and R. Applegate
J. Opt. Soc. Am. A 15(9) 2563-2571 (1998)

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 (6)

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 (54)

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

Metrics

You do not have subscription access to this journal. Article level metrics 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