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.

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

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

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

Higher Order Gabitov-Turitsyn Equations

9.1 Introduction

9.2 Polarization preserving fibers

9.3 Birefringent fibers

9.4 DWDM systems

References

Index