Nonlinear pulse propagation in a monomode dielectric guide
Nonlinear pulse propagation in a monomode dielectric guide
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DOI：
10.1109/jqe.1987.1073392
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发表时间：
1987-05
影响因子：
2.5
通讯作者：
Y. Kodama;A. Hasegawa
中科院分区：
文献类型：
--
作者：
Y. Kodama;A. Hasegawa
推导了单模介质波导中电磁波包络的非线性波动方程。以单模光纤为例，根据导波本征函数的性质以及材料的非线性和色散特性，给出了具有高阶色散和耗散(线性和非线性)的合成非线性薛定谔方程的系数。利用新发展的微扰方法，我们证明了高阶色散(线性和非线性)保持了单个孤子的轮廓，但将一个受约束的N个孤子(Ngeq2)分裂成不同高度、以不同速度传播的单个孤子。由诱导拉曼效应引起的高阶非线性耗散使单个孤子的载频下移，与传输距离成正比，与孤子幅度的四次方成正比。
We derive the nonlinear wave equation for an envelope of an electromagnetic wave in a monomode dielectric waveguide. Concrete examples are given for a single-mode optical fiber where the coefficients of resultant nonlinear Schrodinger equation with higher-order dispersion and dissipation (both linear and nonlinear) are given in terms of properties of the eigenfunction of the guided wave as well as of the material nonlinearity and dispersion. Using a newly-developed perturbation method, we show that the higher-order dispersions (linear and nonlinear) perserve the profile of a single soliton but to split up a bound N soliton ( N \geq 2 ) into individual solitons with different heights which propagate at different velocities. We also show that the higher-order nonlinear dissipation due to the induced Raman effect downshifts the carrier frequency of a single soliton in proportion to the distance of propagation and to the fourth power of the soliton amplitude.