Abstract

When holograms are used as optical elements two of their properties are of interest: dispersion and aberrations. This paper uses a general hologram analysis computer program based on ray tracing to analyze these properties. Numerical examples are given for both single and multiple element systems where the goal is to reduce the lateral dispersion. A significant reduction in this dispersion is accomplished with the introduction of a plane grating adjacent to the hologram. The problem of reducing the longitudinal dispersion is more complex, and it is studied in the paper by minimizing the variation in focus distance as a function of the reconstruction wavelength for two- and three-element on-axis hologram systems. To optimize the reduction in dispersion and design a system with low aberrations, the hologram ray tracing programs were modified to be driven by an optimization program. These techniques realized a three-element on-axis f/3.84 system with aberrations and dispersions less than 0.32λc and 87 μ, respectively, when operated over a band from 4385 Å to 7060 Å.

© 1972 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Achromatic combinations of hologram optical elements

S. J. Bennett
Appl. Opt. 15(2) 542-545 (1976)

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 (18)

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

Tables (2)

You do not have subscription access to this journal. Article tables 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 (27)

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