量子光学学报, 2010, 16 (4): 312, 网络出版: 2011-01-26  

耦合Ginzburg-Landau方程的啁啾类亮灰孤子对传输特性研究

Propagating of Chirped Bright-Gray Soliton Pairs on the CoupledGinzburg-Landau Equation
作者单位
量子光学与光量子器件国家重点实验室, 山西大学物理电子工程学院, 山西 太原 030006
摘要
从数值模拟角度出发,将复变系数的耦合Ginzburg-Landau方程作为非均匀光纤放大器的理论模型,对啁啾类亮灰孤子对和亮亮孤子对两组孤波在该理论模型中的传输特性进行详细的研究。结果表明,在考虑了非线性增益(损耗)和增益带宽限制放大效应的情况下,啁啾类亮孤子和灰孤子在合适的色散区可以不受非均匀条件的影响而稳定传输。为了进一步讨论孤子对的稳定性,又讨论了加入振幅微扰和噪声微扰对传输的稳定性。
Abstract
From the perspective of numerical simulation, based on the Ginzburg-Landau equation with varying coefficients governing the propagation of optical pulses in optical fiber amplifier, we analyze in detail the propagation of soliton pairs such as chirped bright-gray and chirped bright-bright which are propagating in the system. The result shows that considering the nonlinear gain (dissipative) and filtering spectrum limit effect, these chirped soliton pairs can stably propagate in proper dispersion zone without the effect of non-uniform conditions. In order to further investigate the stability of the chirped soliton pairs, we also discuss the propagate stability of soliton pairs with small perturbations such as amplitude perturbation and noise in the system.
参考文献

[1] SCOTT-RUSSELL J. Report on Waves [m]. Proc Roy Soc Edinburgh. 1844, 319-320.

[2] . SKRYABIN, WILLIAM J. FIRTH. Dynamics of self-trapped beams with phase dislocation in saturable Kerr and quadratic nonlinear media[J]. Phys Rep, 1998, 58(33): 3916-3930.

[3] . Amplification and Reshaping of Optical Solitons in Glass Fiber[J]. Opt Lett, 1982, 7: 339-441.

[4] . Experimental Observation of Picosecond Pulse Narrowing and Solitons in Optical Fibers[J]. Phys Rev Lett, 1980, 45(13): 1095-1098.

[5] . Exact theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Media[J]. Sov Phys JETP, 1972, 34(23): 62-69.

[6] . Interaction Between Solitons in a Stable Medium[J]. Sov Phys JETP, 1972, 37: 823-828.

[7] . Solitary Pulses in an Amplified Nonlinear Dispersive Medium[J]. Opt Lett, 1989, 14(17): 943-945.

[8] . Adiabatic Amplification of Optical Solitons[J]. Phys Rev A, 1991, 43(11): 6187-6193.

[9] . Nwe Types of Solitary Wave Solutions for the Higher Order Nonlinear Schrodinger Equation[J]. Phys Rev Lett, 2000, 84(18): 4096-4099.

[10] . Stability of Chirped Bright and Dark Soliton-like Solutions of the Cubic Complex Ginzburg Landau Equation with Variable Coefficients[J]. Opt Commu, 2006, 268(2): 305-310.

[11] 马宇波, 田晋平, 徐忠孝, 等. 复变系数Ginzburg-Landau方程的啁啾组合孤波解 [J]. 量子光学学报, 2009, 15(10): 70-75.

[12] 王娟芬, 李录, 贾锁堂. 有限宽度背景中的啁啾灰孤子 [J]. 量子光学学报, 2008, 14(1): 54-62.

[13] AKHMANOV S A, KHOKHLOV R V, SUKHORUKOV A P. In Laser Handbook, vol. 2, ed. by F. T. Arecchi and E. O. Schulz-Dubois (Noth-Holland, Amsterdam, 1972) chap. E3.

[14] . Modulation Instability Induced by Cross-phase Modulation[J]. Phys Lett, 1987, 8(59): 880-883.

[15] SCHADT D, JASKORZYNSKA B, Generation of Short pulses From Cw light by Influence of Cross Phase Modulation (CPM) in Optical Fibers [J]. Electron Lett, 1987, 23: 1090.

[16] . I. Vector Solitons in Birefringennt Nonlinear Dispersive Media[J]. Opt Lett, 1998, 13(1): 53-55.

[17] . SERKIN V. N. Generation of High-energy Solitons of Stimulated Raman Radiation in Fiber Light Guides[J]. JETP Lett, 1983, 38(2): 199-202.

[18] . Intensity-induced Rotation of the Polarization Ellipse in Loe-birefringence, Single-mode Fivers[J]. Opt Acta, 1985, 32(9): 1251-1258.

[19] . Frequency Chirp and Spectra Due to Self-phase Modulation and Stimulated Raman Scattering Influence by Pulse Walk-off in Optical Fibers[J]. Opt Soc Am B, 1988, 5(7): 1353-1359.

[20] . Interaction of Optical Solitons with a Forward Raman Pump Wave[J]. Opt Lett, 1989, 14(1): 84-86.

[21] . Symbitic Solitary-wave Pairs Sustained by Cross-phase Moeulation in Optical Fibers[J]. Opt Soc Am B, 1990, 7(5): 810-814.

[22] . Optical Solitary Waves Induced by Cross-phase Modulation[J]. Opt Lett, 1988, 13(10): 871-873.

[23] . Bandwith Limits due to Mutual Pulse Interaction in Optical Communication Systems[J]. Opt Lett, 1986, 11(3): 174-176.

[24] . . Nonlinear Pairing of Bright and Dark Optical Solitons[J]. JETP Lett, 1989, 48: 638.

[25] . Chirped Soliton-like Solutions for Nonlinear Schrkdinger Equation with Variable Coefficients[J]. Opt Commu, 2006, 262(2): 257-262.

段鸿, 何其, 肖燕. 耦合Ginzburg-Landau方程的啁啾类亮灰孤子对传输特性研究[J]. 量子光学学报, 2010, 16(4): 312. DUAN Hong, HE Qi, XIAO Yan. Propagating of Chirped Bright-Gray Soliton Pairs on the CoupledGinzburg-Landau Equation[J]. Acta Sinica Quantum Optica, 2010, 16(4): 312.

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!