Nonlinear gain coefficient experienced by non-paraxial perturbations under small signal approximation

Lei Zhang; Guoying Feng; Jianguo Chen; Xiaodong Li; Yaohui Gao; Mengyan Shen

doi:10.1117/12.617700

24 August 2005 Nonlinear gain coefficient experienced by non-paraxial perturbations under small signal approximation

Lei Zhang, Guoying Feng, Jianguo Chen, Xiaodong Li, Yaohui Gao, Mengyan Shen

Proceedings Volume 5867, Optical Modeling and Performance Predictions II; 586708 (2005) https://doi.org/10.1117/12.617700
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

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.

Citation Download Citation

Lei Zhang, Guoying Feng, Jianguo Chen, Xiaodong Li, Yaohui Gao, and Mengyan Shen "Nonlinear gain coefficient experienced by non-paraxial perturbations under small signal approximation", Proc. SPIE 5867, Optical Modeling and Performance Predictions II, 586708 (24 August 2005); https://doi.org/10.1117/12.617700

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