光纤中双孤子相互作用的等价粒子理论

Equivaleut-Particle Theory for Soliton and Optical Soliton Interaction

本文给出了含有一般扰动的非线性薛定锷（Ｓｃｈｒｏｄｉｎｇｅｒ）方程的孤子等价粒子理论，它使人们对孤子的粒子性质有了更深的了解，同时给出了光纤中双孤子相互作用的等价粒子分析，得到了与基于逆散射及微扰变分法完全一致的结果，这一方法可用于多孤子相互作用的解析分析，并能给出这一过程的直观物理图象．

generalized equivalent-particle theory for the the solitons governed by thenonlinear Schrodinger equatinon, with an operator- perturbation term included, isproposed, which can make understanding of the particle properties of solitons. As ap&rturbation method, it is able to deal with a wide kinds of problems, such as loss andgain in optical fiber, the effect of Raman induced scattering and higher order diapersions.The soliton interaction in optical fiber is analyzed by this method and the conclusionswhich are strictly in keeping with the resultS obtained by the inverse scattering techniqueand the variational Perturbation theory are achieved. By using this method, theinteraction of multi-soliton can be analytically analyized, and gives a visual picture of thephysical process.