非自治拉曼多色孤子的管理和传输

问建忠; 杨荣草

量子光学学报, 2012, 18 (1): 48, 网络出版: 2012-03-08

非自治拉曼多色孤子的管理和传输

The Management and Transmission of Nonautonomous Raman Colored Soliton

论文大纲

问建忠 ^*杨荣草

作者单位

山西大学物理电子工程学院, 山西太原 030006

非自治系统拉曼多色孤子孤子管理 nonautonomous system Raman colored soliton soliton management

摘要

以变系数的非自治非线性薛定谔方程为模型,考虑了一种色散、非线性和自发拉曼散射效应管理下的非自治系统,通过简单变换显式给出了该系统的精确非自治拉曼多色孤子解。基于精确孤子解,解析研究了该拉曼多色孤子在非自治管理系统中的演化特性,发现孤子的中心位置、波数与色散和非线性以及拉曼效应有关,而孤子频移仅与拉曼效应的参数决定,拉曼效应主导了非自治孤子的自频移,引起了孤子的频移在传输过程中不断的发生变化,导致了孤子的多色性。另外,我们数值讨论了该非自治孤子的传输稳定性,结果表明:该非自治拉曼多色孤子在有限的扰动下具有较好的稳定性。

Abstract

In this paper, based on nonlinear Schrdinger equation with variable coeffcients, we consider a nonautonomous system under the management of the dispersion, the nonlinearity and the Self-induced Raman Scattering (SRS), and present the exact nonautonomous Raman colored soliton solution by simple transformation. Based on the exact solution, we study transmission of the Raman colored soliton in the nonautonomous management system and find that both the wave center and the wave number of the soliton are related to the dispersion, the nonlinearity and the SRS, but the soliton frequency shift is simply determined by the SRS, which implies that the SRS dominates the self-frequency shift of the nonautonomous solitons during propagation and leads to the colored soliton. In addition, we numerically discuss the stabilities of the nonautonomous Raman colored solitons. The results show that the nonautonomous Raman colored soliton is stable under the limited perturbations.

参考文献

[1] AGRAWAL G P, KIVSHAR Y S. Optical Solitons: From Fibers to Photonic Crystals ［M］. Academic Press, 2003.

[2] 文双春, 徐文成, 郭旗, 等. 变系数非线性Schrdinger方程孤子的演化［J］. 中国科学(A辑), 1997, 27(10): 949-953.

[3] SERKIN V N, HASEGAWA A. Soliton Management in the Nonlinear Schrdinger Equation Model with Varying Dispersion, Nonlinearity, and Gain ［J］. JETP Lett, 2000, 72(2): 125-129.

[4] KRUGLOV V I, PEACOCK A C, HARVEY J D. Exact Self-Similar Solutions of the Generalized Nonlinear Schrdinger Equation with Distributed Coefficients ［J］. Phys Rev Lett, 2003, 90: 11.

[5] HAO R Y, LI L, LI Z H, et al. A New Approach to Exact Soliton Solutions and Soliton Interaction for the Nonlinear Schrdinger Equation with Variable Coeffcients ［J］. Opt Commun, 2004, 236: 79-86.

[6] YANG R C, HAO R Y, LI L, et al. Dark Soliton Solution for Higher-order Nonlinear Schrdinger Equation with Variable Coefficients ［J］. Opt Commun, 2004, 242: 285-293.

[7] YANG R C, LI L, HAO R Y, et al. Combined Solitary Wave Solutions for the Inhomogeneous Higher-order Nonlinear Schrdinger Equation ［J］. Phys Rev E, 2005, 71: 036616.

[8] 宗丰德, 戴朝卿, 杨琴, 等. 光纤中变系数非线性Schrdinger方程的孤子解及其应用［J］. 物理学报, 2006, 55(8): 3805-3811.

[9] LIU W J,TIAN B, WANG P, et al. A New Approach to the Analytic Soliton Solutions for the Variable Coefficient Higher-order Nonlinear Schrdinger Model in Inhomogeneous Optical Fibers ［J］. Journal of Modern Optics, 2010, 57(4): 309-315.

[10] CHEN H H, LIU C S. Soliton in Nonuniform Media ［J］. Phys Rev Lett, 1976, 37: 11.

[11] SERKIN V N, HASEGAWA A, BELYAEVA T L. Nonautonomous Solitons in External Potentials ［J］. Phys Rev Lett, 2007, 98: 074102.

[12] HE X G, ZHAO D, LI L, et al. Engineering Integrable Nonautonomous Nonlinear Schrdinger Equations ［J］. Phys Rev E, 2009, 79: 056610.

[13] LUO H G, ZHAO D, HE X G. Exactly Controllable Transmission of Nonautonomous Optical Solitons ［J］. Phys Rev A, 2009, 79: 063802.

[14] YANG Z Y, ZHAO L C, ZHANG T, et al. Snakelike Nonautonomous Solitons in a Graded-index Grating Waveguide ［J］. Phys Rev A, 2010, 81: 043826.

[15] ZHAO D, HE X G, LUO H G. Transformation from the Nonautonomous to Standard NLS Equations ［J］. Eur Phys J D, 2009, 53: 213-216.

[16] 李宏, 杨祥林, 刘堂坤. 暗孤子传输系统中调制拉曼泵浦的控制作用［J］. 中国激光, 1997, 24(7): 654-658.

[17] PORSEZIAN K, GANAPATHY R, HASEGAWA A, et al. Nonautonomous Soliton Dispersion Management ［J］. IEEE J Quantum Electron, 2009, 45(12): 1577-1583.

问建忠, 杨荣草. 非自治拉曼多色孤子的管理和传输[J]. 量子光学学报, 2012, 18(1): 48. WEN Jian-zhong, YANG Rong-cao. The Management and Transmission of Nonautonomous Raman Colored Soliton[J]. Acta Sinica Quantum Optica, 2012, 18(1): 48.

非自治拉曼多色孤子的管理和传输

关于本站 Cookie 的使用提示

全站搜索

非自治拉曼多色孤子的管理和传输

相关论文

相关资讯

关于本站 Cookie 的使用提示

全站搜索