色散管理光孤子的數(shù)學(xué)理論

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