The book is intendedfor researchers and graduate students in Applied Mathematics,Physics and Engineering and also it will be of interest to thosewho are conducting research in nonlinear fiberoptics.
- 1 Introduction
- 2 Nonlinear Schrodinger's Equation
- 2.1 Derivation of NLSE
- 2.1.1 Limitations of conventional solltons
- 2.1.2 Dispersion-management
- 2.1.3 Mathematical formulation
- 2.2 Integrals of motion
- 2.3 Soliton perturbation theory
- 2.4 Wariational principle
- References
- 3 Polarization Preserving Fibers
- 3.1 Introduction
- 3.2 Integrals of motion
- 3.2.1 Gaussian pulses
- 3.2.2 Super-Gaussian Puises
- 3.2.3 Super-Sech pulses
- 3.3 Variational principle
- 3.3.1 Gausslan 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
- Reterences
- 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 Perturhation 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
- 6.3 Sech optical pulse
- 6.4 Super-Sech optlcal Pulse
- References
- 7 Gabitov-Turitsyn Equation
- 7.1 Introduction
- 7.2 Polarization-preserving fibers
- 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