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The Effect of Pump Coherence on Frequency Conversion and Parametric Amplification

Crosignani, Bruno and Di Porto, Paolo and Ganiel, Uri and Solimeno, Salvatore and Yariv, Amnon (1972) The Effect of Pump Coherence on Frequency Conversion and Parametric Amplification. IEEE Journal of Quantum Electronics, 8 (9). pp. 731-739. ISSN 0018-9197. http://resolver.caltech.edu/CaltechAUTHORS:20120815-082632582

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Abstract

The consequences of the deviation from ideal coherence of the driving (pump) field in nonlinear processes are examined. A detailed treatment of the processes of parametric amplification and frequency upconversion is presented. The treatment utilizes two different approximation methods to suit the two different physical situations considered. For slow phase variations of the pump field an adiabatic approach is useful, whereas in the treatment of fast phase variations (the nonadiabatic case) an equation describing the time evolution of the P representation is found to be a good starting point. In this latter case, a closed hierarchy of equations for the moments of the photon number distribution in the signal (or idler) mode is found. In particular, we find that the efficiencies of both the amplification and the upconversion processes are reduced as a result of pump incoherence, the reduction becoming more severe in the highly incoherent case. For the frequency converter, the very nature of the process is modified as compared to the ideal case, and this modification is again of particular significance for the highly incoherent pump. Second-order moments are explicitly calculated and some of the statistical properties of the output signals are examined.


Item Type:Article
Related URLs:
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http://dx.doi.org/10.1109/JQE.1972.1077283DOIUNSPECIFIED
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=1077283PublisherUNSPECIFIED
Additional Information:© 1972 IEEE. Manuscript received August 13, 1971; revised May 1, 1972. Date of Current Version: 06 January 2003. This work was supported by the Advanced Research Projects Agency of the Department of Defense and was monitored by the U. S. Army Research Office (Durham). The authors wish to thank J. Pearson for some useful discussions.
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Funding AgencyGrant Number
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Record Number:CaltechAUTHORS:20120815-082632582
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120815-082632582
Official Citation:Crosignani, B.; Di Porto, P.; Ganiel, U.; Solimeno, S.; Yariv, A.; , "The effect of pump coherence on frequency conversion and parametric amplification," Quantum Electronics, IEEE Journal of , vol.8, no.9, pp.731-739, September 1972 doi: 10.1109/JQE.1972.1077283 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1077283&isnumber=23235
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:33195
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:15 Aug 2012 15:41
Last Modified:26 Dec 2012 15:59

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