Analysis of a joint transform correlator using a phase-only spatial light modulator

Francis T.J. Johnson; Thomas H. Barnes; Tomoaki Eiju; Timothy G. Haskell; Kiyofumi Matsuda

doi:10.1117/12.56011

1 December 1991 Analysis of a joint transform correlator using a phase-only spatial light modulator

Francis T.J. Johnson, Thomas H. Barnes, Tomoaki Eiju, Timothy G. Haskell, Kiyofumi Matsuda

Author Affiliations +

Optical Engineering, Vol. 30, Issue 12, (December 1991). https://doi.org/10.1117/12.56011

Abstract

A theoretical analysis of a joint transform correlator that uses a phase-only spatial light modulator to input joint transform plane intensity data into the second Fourier transform system is presented. It is shown that this correlator produces signals that differ from, but are related to, the mathematical correlation between the test and reference input images. An undesirable characteristic of the correlator is that the form of the output signals depends on both the intensity-to-phase transfer characteristic of the phase modulator and the intensities of the input images. However, apodization of the joint transform intensity distribution by the reciprocal of the intensity distribution of the reference image Fourier transform can overcome this problem, and results in a correlator with narrow matching output peaks and high discrimination, in which the autocorrelation peak can be eliminated. Theoretical results are demonstrated by computer simulation.

Citation Download Citation

Francis T.J. Johnson, Thomas H. Barnes, Tomoaki Eiju, Timothy G. Haskell, and Kiyofumi Matsuda "Analysis of a joint transform correlator using a phase-only spatial light modulator," Optical Engineering 30(12), (1 December 1991). https://doi.org/10.1117/12.56011

Published: 1 December 1991

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available