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Spatial convolution and correlation of optical fields via degenerate four-wave mixing

Pepper, David M. and AuYeung, John and Fekete, Dan and Yariv, Amnon (1978) Spatial convolution and correlation of optical fields via degenerate four-wave mixing. Optics Letters, 3 (1). pp. 7-9. ISSN 0146-9592. http://resolver.caltech.edu/CaltechAUTHORS:PEPol78

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Abstract

A nonlinear optical technique is described that performs, essentially instantaneously, the functions of spatial correlation and convolution of spatially encoded waves. These real-time operations are accomplished by mixing spatially dependent optical fields in the Fourier-transform plane of a lens system. The use of a degenerate four-wave mixing scheme eliminates (in the Fresnel approximation) phase-matching restrictions and (optical) frequency-scaling factors. Spatial bandwidth-gain considerations and numerical examples, as well as applications to nonlinear microscopy, are presented.


Item Type:Article
Additional Information:© Copyright 1978 Optical Society of America Received March 13, 1978 This research was supported by the Army Research Office, Durham, North Carolina. D. M. Pepper is a Hughes Research Laboratory Doctoral Fellow. D. Fekete is a Weizmann Institute, Israel, Postdoctoral Fellow. D. M. Pepper acknowledges the support granted by the Hughes Aircraft Company. D. Fekete acknowledges the support granted by the Weizmann Institute of Israel.
Record Number:CaltechAUTHORS:PEPol78
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:PEPol78
Alternative URL:http://www.opticsinfobase.org/abstract.cfm?URI=ol-3-1-7
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ID Code:2641
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:13 Apr 2006
Last Modified:26 Dec 2012 08:50

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