Abstract

A novel optical system for real-time processing of the multiple matrix product is proposed. In this system, all the N × N matrices are kept in the N2 format without any scanning scheme. This system can easily be extended to that for multiplication of more than three matrices by using a holographic unidirectional diffuser. We estimate the operational error and the power efficiency of this system to give guidelines for the design of the matrix masks and the unidirectional diffuser. The preliminary experiments of multiplication of two and three matrices are successfully demonstrated with an average error of 1.9% and 4.7%, respectively.

© 1985 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Optical system for real-time multiplication of the multiple matrix with a 2-D light source array

Hidetoshi Nakano and Kazuo Hotate
Appl. Opt. 26(5) 917-923 (1987)

Operational error in the optical real-time multiple matrix multiplier and its compensation

Hidetoshi Nakano and Kazuo Hotate
Appl. Opt. 25(18) 3132-3136 (1986)

Programmable real-time incoherent matrix multiplier for optical processing

Bernard H. Soffer, Yuri Owechko, Emanuel Marom, and Jan Grinberg
Appl. Opt. 25(14) 2295-2305 (1986)

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 (12)

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 (29)

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