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色散管理光孤子的数学理论(英文版)

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 

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