Abstract

Theory and experiments in the area of computer-generated holograms for geometric transformations are presented. Geometric transform holograms are divided into two categories: (1) those which have a continuous fringe structure, and (2) those which consist of a set of discrete subholograms. Criteria for the realizability of a continuous geometric transform hologram are described. Examples of both types of hologram are to map rings of different radii to a linear sequence of points. They allow the replacement of a ring developed detector by a linear detector array without loss of signal energy and can be applied to optical spectrum analysis and angle-wavelength multiplexing for data transmission through optical fibers.

© 1984 Optical Society of America

PDF Article
OSA Recommended Articles
Real-time deformation invariant optical pattern recognition using coordinate transformations

David Casasent, Shao-Feng Xia, Andrew J. Lee, and Jian-Zhong Song
Appl. Opt. 26(5) 938-942 (1987)

Diffraction pattern sampling using a computer-generated hologram

David Casasent, Shao-Feng Xia, Jian-Zhong Song, and Andrew J. Lee
Appl. Opt. 25(6) 983-989 (1986)

Optical-coordinate transformation methods and optical-interconnection architectures

David Mendlovic and Haldun M. Ozaktas
Appl. Opt. 32(26) 5119-5124 (1993)

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

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