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Proceedings Paper

Nonlinear gain coefficient experienced by non-paraxial perturbations under small signal approximation
Author(s): Lei Zhang; Guoying Feng; Jianguo Chen; Xiaodong Li; Yaohui Gao; Mengyan Shen
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Paper Abstract

Starting from the nonlinear Shroedinger equation describing the evolution of non-paraxial perturbations co-propagating with a strong background inside a nonlinear Kerr medium, we have deduced the small signal gain coefficient of the non-paraxial perturbation superimposed on the strong background wave. The results indicate that both the cut-off frequency and the asymptotic value of the gain coefficient of the non-paraxial perturbation are smaller than that of the paraxial counterpart. In addition, it is also shown that the gain coefficient degenerates to the nonlinear gain coefficient of paraxial perturbations under the paraxial approach. Furthermore, under the condition that the perturbation travels far enough inside the nonlinear medium, the gain coefficient degenerates further to the asymptotic gain coefficient predicted by the Bespalov and Talanov theory. The gain coefficient obtained in this work provides a more general solution to the study of perturbations.

Paper Details

Date Published: 24 August 2005
PDF: 7 pages
Proc. SPIE 5867, Optical Modeling and Performance Predictions II, 586708 (24 August 2005); doi: 10.1117/12.617700
Show Author Affiliations
Lei Zhang, Sichuan Univ. (China)
Guoying Feng, Sichuan Univ. (China)
Jianguo Chen, Sichuan Univ. (China)
Xiaodong Li, Sichuan Univ. (China)
Yaohui Gao, Sichuan Univ. (China)
Mengyan Shen, Harvard Univ. (United States)

Published in SPIE Proceedings Vol. 5867:
Optical Modeling and Performance Predictions II
Mark A. Kahan, Editor(s)

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