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Nonlinear Optics - Alan Newell


Published: 15th August 2003
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Nonlinear optics, the study of the nonlinear effects associated with the propagation of light through matter, is so scientifically rich and technologically promising that it is destined to become one of the most important areas of scientific research into the next century. This book is written for graduate students or anyone interested in getting a unified picture of this emerging field."Nonlinear Optics" allows the reader to see all these manifestations of the light-matter interaction as part of the unified whole. Professors Newell and Moloney show how to use these simple equations both to gain a better understanding of the physical processes involved and to deal with the practical applications. Specific topics include: the notion of the nonlinear refractive index and self-phase modulation, the propagation and use of nonlinear waves and solitons in optical fibers and waveguides, two-and-three lasers, optical bistability, the interaction of co- and counter-propagating beams, stimulated Raman and Brillouin scattering, and self-induced transparency. The final chapter discusses mathematical and computational methods such as multiple time scaling, linear and nonlinear wave propagation, solitons, numerical methods, and useful software packages.

Prefacep. ix
Introductionp. 1
The Nature of Nonlinearityp. 8
Dielectricsp. 12
What We Have Left outp. 16
Physical Unitsp. 19
Theory of Light Propagationp. 23
Overviewp. 23
Maxwell's Equations, the Wave Equation, and Refractive Indexp. 24
Frequency Dependence of the Refractive Indexp. 27
Linear Plane Waves or Wavetrains and the Dispersion Relationp. 30
The General Relation between P and Ep. 32
Nonlinear Wavetrains in a Kerr Medium. [6a, 6b, 6g]p. 34
Geometric Optics. [6g]p. 37
Wavepackets, Group Velocity, Diffraction and Dispersion. [6c, 6h]p. 41
Nonlinear Wavepackets and the Nonlinear Schrodinger (NLS) Equation. [3b, 6j]p. 50
Linear and Nonlinear Birefringence; the Coupling of Wavetrains and Wavepacketsp. 55
Three- and Four-wave Mixing. [6g]p. 63
Derivation and "Universality" of the NLS Equations. [3b, 6j]p. 67
Communications in Optical Fibers and Nonlinear Waveguidesp. 76
Overviewp. 76
Communicationsp. 77
Derivation of the NLS Equation for a Light Fiber. [2k, 6j]p. 83
Nonlinear Fiber Optics, Possibilities and Challenges, Realities and Practicalitiesp. 105
Review of Waveguiding Principles and the Potential Applications of Waveguides for Nonelinear Materialsp. 118
Transverse Electric (TE) and Transverse Magnetic (TM) Modes of a Planar Waveguide. [6e]p. 121
Nonlinear Surface and Guided TE Waves: Statics. [6d]p. 123
Nonlinear Surface Waves at a Single Interface: Dynamics. [6k]p. 133
Nonlinear Guided and Surface TE Waves in a Symmetric Planar Waveguidep. 148
TM (Z-Independent) Nonlinear Surface Wavesp. 152
The Interaction Between Light and Matterp. 154
Overviewp. 154
The Bloch Equationsp. 156
The Maxwell Equationsp. 164
The Maxwell-Bloch Equations for A Gas of Two-Level Atomsp. 165
Steady-State Response and the Susceptibility Near Resonancep. 166
Counter-Propagating Wavesp. 168
The Maxwell-Bloch Equations for A Three-level Atomp. 170
Indirect Excitation: Two-Photon Absorption and Stimulated Raman Scattering (SRS)p. 175
Other Nonlinear Mechanisms: The Condensed Phasep. 180
Maxwell-Debye Equationsp. 189
The Born-Oppenheimer (Adiabatic) Approximationp. 190
Applicationsp. 193
Overviewp. 193
Lasersp. 196
Optical Bistabilityp. 211
Instability and Hysteresis in Distributed Feedback Structuresp. 228
Coherent Pulse Propagation and Self-Induced Transparencyp. 235
Stimulated Raman Scatteringp. 255
Stimulated Brillouin Scatteringp. 267
Mathematical and Computational Methodp. 270
Perturbation Theoryp. 272
Asymptotic Sequences, Expansionsp. 275
The Propagation of Linear Dispersive Wavesp. 280
Snell's Lawsp. 290
Waveguidesp. 294
TEM[subscript rs] Cavity Modesp. 302
Nonlinear Oscillators, Wavetrains, and Three- and Four-Wave Mixing, Multiple Scalesp. 308
Wavepackets, NLS Equation, Three (TWI) and Four (FWI) Wave Interaction Equationsp. 335
Bifurcation Theory and the Amplitude Equations for a Laser. [5a]p. 342
Derivation of the Nonlinear Schrodinger (NLS) Equation in a Waveguidep. 362
Solitons and the Inverse Scattering Transform. [3b,c]p. 374
Chaos and Turbulencep. 402
Computational Methodsp. 409
Program NLSNp. 420
Referencesp. 429
Indexp. 437
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9780813341187
ISBN-10: 0813341183
Audience: General
Format: Paperback
Language: English
Number Of Pages: 448
Published: 15th August 2003
Publisher: Taylor & Francis Inc
Country of Publication: US
Dimensions (cm): 22.9 x 15.2  x 2.54
Weight (kg): 0.61
Edition Number: 1