色散管理光孤子的数学理论(英文版)
出版时间:2010年版
内容简介
The book is intended for researchers and graduate students in Applied Mathematics, Physics and Engineering and also it will be of interest to those who are conducting research in nonlinear fiber optics.
目录
1 Introduction
References
2 Nonlinear Schrodinger's Equation
2.1 Derivation of NLSE
2.1.1 Limitations of conventional solitons
2.1.2 Dispersion-management
2.1.3 Mathematical formulation
2.2 Integrals of motion
2.3 Soliton perturbation theory
2.3.1 Perturbation terms
2.4 Variational principle
2.4.1 Perturbation terms
References
3 Polarization Preserving Fibers
3.1 Introduction
3.2 Integrals of motion
3.2.1 Gaussian pulses
3.2.2 Super-Gaussian pulses
3.2.3 Super-Sech pulses
3.3 Variational principle
3.3.1 Gaussian pulses
3.3.2 Super-Gaussian pulses
3.4 Perturbation terms
3.4.1 Gaussian pulses
3.4.2 Super-Gaussian pulses
3.5 Stochastic perturbation
References
4 Birefringent Fibers
4.1 Introduction
4.2 Integrals of motion
4.2.1 Gaussian pulses
4.2.2 Super-Gaussian pulses
4.3 Variational principle
4.3.1 Gaussian pulses
4.3.2 Super-Gaussian pulses
4.4 Perturbation terms
4.4.1 Gaussian pulses
4.4.2 Super-Gaussian pulses
References
5 Multiple Channels
5.1 Introduction
5.2 Integrals of motion
5.2.1 Gaussian pulses
5.2.2 Super-Gaussian pulses
5.3 Variational principle
5.3.1 Gaussian pulses
5.3.2 Super-Gaussian pulses
5.4 Perturbation terms
5.4.1 Gaussian pulses
5.4.2 Super-Gaussian pulses
References
6 Optical Crosstalk
6.1 In-band crosstalk
6.2 Gaussian optical pulse
6.2.1 Bit error rate
6.3 Sech optical pulse
6.4 Super-Sech optical pulse
References
7 Gabitov-Turitsyn Equation
7.1 Introduction
7.2 Polarization-preserving fibers
7.2.1 Special solutions
7.3 Birefringent fibers
7.4 DWDM system
7.5 Properties of the kernel
7.5.1 Lossless Case
7.5.2 Lossy Case
References
8 Quasi-linear Pulses
8.1 Introduction
8.2 Polarization-preserving fibers
8.2.1 Lossless system
8.2.2 Lossy system
8.3 Birefringent fibers
8.3.1 Lossless system
8.3.2 lossy system
8.4 Multiple channels
8.4.1 Lossless system
8.4.2 Lossy system
References
9 Higher Order Gabitov-Turitsyn Equations
9.1 Introduction
9.2 Polarization preserving fibers
9.3 Birefringent fibers
9.4 DWDM systems
References
Index