色散管理光孤子的數(shù)學理論

內容概要

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.

書籍目錄

1　IntroductionReferences2   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　References3　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    References4   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　 References5   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　 References6   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　  References7   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　  References8　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　References9　Higher Order Gabitov-Turitsyn Equations　9.1  Introduction　9.2  Polarization preserving fibers　9.3  Birefringent fibers　9.4  DWDM systems　ReferencesIndex

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