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.
- Front Matter
- 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
