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基于包含渐减色散和周期集总放大的变系数非线性薛定谔方程,通过一种简单变换,解析出其精确孤子解,并研究了色散渐减周期集总放大(DDPLA)光纤链路中孤子的传输、放大和恢复。研究结果表明,当光纤色散、损耗和放大器增益相互平衡时,色散渐减光纤链路中可实现孤子的周期放大和恢复;而且可根据光纤损耗和放大周期来设置放大器的增益,或根据光纤损耗和放大器增益来设置放大周期,从而实现孤子的周期性放大或恢复。另外,采用数值计算的方法讨论了孤子的稳定性和相邻孤子间的相互作用。研究结果对实际的色散渐减周期集总光纤链中孤子的传输及周期放大链路的精确配置具有一定的理论指导意义。
Based on the variable coefficient nonlinear Schrödinger equation with diminishing dispersion and periodic lumped amplification, the exact soliton solutions are solved by a simple transformation, and the soliton of the destructive periodic lumped amplification (DDPLA) optical fiber link Transmission, amplification and recovery. The results show that when the fiber dispersion, loss and amplifier gain are balanced with each other, the dispersion reduction fiber link can realize the periodical amplification and recovery of the soliton, and the gain of the amplifier can be set according to the fiber loss and amplification period, And amplifier gain to set the amplification cycle, in order to achieve the cyclical amplification or recovery of the soliton. In addition, the stability of soliton and the interaction between adjacent solitons are discussed by means of numerical calculation. The results of this study have certain theoretical significance for the actual dispersion reduction of the soliton transmission in the periodic lumped fiber chain and the precise configuration of the periodic amplification link.