Ported from Self-Similar Analytic Solutions of Ginzburg-Landau Equation with Varying Coefficients  

作　　者：冯杰 徐文成 李书贤 刘伟慈 刘颂豪 

机构地区：[1]School of Physics and Telecommunication Engineering, South China Normal University, Cuangzhou 510006 [2]Lab of Photonic information Technology, School of Information and Optoelectronic Science and Engineering, South China Normal University, Cuangzhou 510006

出　　处：《Chinese Physics Letters》2008年第3期970-973,共4页中国物理快报（英文版）

基　　金：Supported by the Natural Science Foundation of Guangdong Province under Grant No 04010397.

摘　　要：Employing the technique of symmetry reduction of analytic method, we solve the Ginzburg-Landau equation with varying nonlinear, dispersion, gain coefficients, and gain dispersion which originates from the limiting effect of transition bandwidth in the realistic doped fibres. The parabolic asymptotic self-similar analytical solutions in gain medium of the normal GVD is found for the first time to our best knowledge. The evolution of pulse amplitude, strict linear phase chirp and effective temporal width are given with self-similarity results in longitudinal nonlinearity distribution and longitudinal gain fibre. These analytical solutions are in good agreement with the numerical simulations. Furthermore, we theoretically prove that pulse evolution has the characteristics of parabolic asymptotic self-similarity in doped ions dipole gain fibres.Employing the technique of symmetry reduction of analytic method, we solve the Ginzburg-Landau equation with varying nonlinear, dispersion, gain coefficients, and gain dispersion which originates from the limiting effect of transition bandwidth in the realistic doped fibres. The parabolic asymptotic self-similar analytical solutions in gain medium of the normal GVD is found for the first time to our best knowledge. The evolution of pulse amplitude, strict linear phase chirp and effective temporal width are given with self-similarity results in longitudinal nonlinearity distribution and longitudinal gain fibre. These analytical solutions are in good agreement with the numerical simulations. Furthermore, we theoretically prove that pulse evolution has the characteristics of parabolic asymptotic self-similarity in doped ions dipole gain fibres.

关 键 词：STIMULATED RAMAN-SCATTERING DISPERSION-DECREASING FIBER PARABOLIC PULSES SIMILAR PROPAGATION OPTICAL-FIBER HIGH-POWER AMPLIFICATION GENERATION AMPLIFIERS 

分 类 号：O469[理学—凝聚态物理]