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Amplitude-equation formalism for four-wave-mixing geometry with transmission gratings

Engin, D. and Cross, M. C. and Yariv, A. (1997) Amplitude-equation formalism for four-wave-mixing geometry with transmission gratings. Journal of the Optical Society of America B, 14 (12). pp. 3349-3362. ISSN 0740-3224. http://resolver.caltech.edu/CaltechAUTHORS:ENGjosab97

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Abstract

An amplitude equation is derived for a four-wave-mixing geometry with nearly counterpropagating, mutually incoherent, nondiffracting pump beams, spatially overlapping in a photorefractive material with a nonlocal response. This equation extends the earlier linear two-dimensional theory to the weakly nonlinear regime. The analysis also starts from a more complete equation for the photorefractive effect, which leads to the prediction of novel effects especially apparent in the nonlinear regime. Precise predictions for the spatiotemporal behavior of the grating amplitude in the nonlinear regime are presented. The range of validity of the amplitude equation is studied. The characteristics of the instability in the nonlinear regime are analyzed through a front-selection analysis.


Item Type:Article
Additional Information:© 1997 Optical Society of America Received August 26, 1996; revised manuscript received April 15, 1997 This research was supported by Advanced Research Projects Agency, Office of Naval Research under grant N0001492J1891 (A. Yariv), the National Science Foundation under grant DMR9311444 (M.C. Cross) and the Hughes Graduate Fellowship Program (D. Engin).
Record Number:CaltechAUTHORS:ENGjosab97
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:ENGjosab97
Alternative URL:http://www.opticsinfobase.org/abstract.cfm?URI=josab-14-12-3349
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5586
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:25 Oct 2006
Last Modified:26 Dec 2012 09:13

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