VARIATIONAL APPROACH TO NON-LINEAR PULSE-PROPAGATION IN OPTICAL FIBERS
VARIATIONAL APPROACH TO NON-LINEAR PULSE-PROPAGATION IN OPTICAL FIBERS
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DOI：
10.1103/physreva.27.3135
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发表时间：
1983-01-01
影响因子：
2.9
通讯作者：
ANDERSON, D
中科院分区：
文献类型：
--
作者：
ANDERSON, D
由非线性薛定谔方程控制的非线性脉冲在光纤中的传输问题被转化为一个变分问题。利用高斯试函数和Ritz最优化方法，得到了脉冲宽度、脉冲幅度和非线性频率啁啾在传输过程中的近似解。与逆散射理论的结果和/或数值解的比较表明，这是非常符合的。
The problem of nonlinear pulse propagation in optical fibers, as governed by the nonlinear Schrödinger equation, is reformulated as a variational problem. By means of Gaussian trial functions and a Ritz optimization procedure, approximate solutions are obtained for the evolution during propagation of pulse width, pulse amplitude, and nonlinear frequency chirp. Comparisons with results from inverse-scattering theory and/or numerically obtained solutions show very good agreement.