Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation
Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation
复制标题
DOI：
10.1016/j.aml.2017.03.020
复制
发表时间：
2017-11
期刊：
影响因子：
--
通讯作者：
Xin-Yi Gao
中科院分区：
文献类型：
--
作者：
Xin-Yi Gao
光纤通信系统是现代网络时代的核心支撑系统之一，超短光脉冲的研究处于光纤光学、现代光学和光学工程的前沿。在此，针对非线性非均匀光纤中传播的某些超短光脉冲，对最近提出的广义高阶变系数Hirota方程进行了符号计算。对于与光纤中光脉冲电场相关的复杂包络函数，计算出自动贝克伦变换以及一系列解析解。我们的贝克伦德变换和解析解都依赖于光纤可变系数，这些系数代表一阶色散、二阶色散、三阶色散、克尔非线性、时间延迟、相位调制和增益/损耗的影响。还提出了这些系数之间的相关约束。我们希望这项工作对光纤研究有一定的用处。
Optical fiber communication system is one of the core supporting systems of the modern internet age, and studies on the ultrashort optical pulses are at the forefront of fiber optics, modern optics and optical engineering. Hereby, symbolic computation on the recently-proposed generalized higher-order variable-coefficient Hirota equation is performed, for certain ultrashort optical pulses propagating in a nonlinear inhomogeneous fiber. For the complex envelope function associated with the optical-pulse electric field in the fiber, an auto-Bäcklund transformation is worked out, along with a family of the analytic solutions. Both our Bäcklund transformation and analytic solutions depend on the optical-fiber variable coefficients which represent the effects of the first-order dispersion, second-order dispersion, third-order dispersion, Kerr nonlinearity, time delaying, phase modulation and gain/loss. Relevant constraints among those coefficients are also presented. We expect that the work could be of some use for the fiber-optics investigations.