Nonlinear Optics

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Index......Page 0
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Introduction to Nonlinear Optics......Page 15
Descriptions of Nonlinear Optical Processes......Page 18
Formal Definition of the Nonlinear Susceptibility......Page 31
Nonlinear Susceptibility of a Classical Anharmonic Oscillator......Page 35
Properties of the Nonlinear Susceptibility......Page 47
Time-Domain Description of Optical Nonlinearities......Page 66
Kramers-Kronig Relations in Linear and Nonlinear Optics......Page 72
Problems......Page 77
References......Page 79
The Wave Equation for Nonlinear Optical Media......Page 82
The Coupled-Wave Equations for Sum-Frequency Generation......Page 87
Phase Matching......Page 92
Quasi-Phase-Matching......Page 97
The Manley-Rowe Relations......Page 101
Sum-Frequency Generation......Page 104
Second-Harmonic Generation......Page 109
Difference-Frequency Generation and Parametric Amplification......Page 118
Optical Parametric Oscillators......Page 121
Nonlinear Optical Interactions with Focused Gaussian Beams......Page 129
Nonlinear Optics at an Interface......Page 135
Problems......Page 141
References......Page 145
Introduction......Page 147
Schrödinger Calculation of Nonlinear Optical Susceptibility......Page 149
Density Matrix Formulation of Quantum Mechanics......Page 162
Perturbation Solution of the Density Matrix Equation of Motion......Page 170
Density Matrix Calculation of the Linear Susceptibility......Page 173
Density Matrix Calculation of the Second-Order Susceptibility......Page 182
Density Matrix Calculation of the Third-Order  Susceptibility......Page 192
Electromagnetically Induced Transparency......Page 197
Local-Field Corrections to the Nonlinear Optical Susceptibility......Page 206
Problems......Page 213
References......Page 216
Descriptions of the Intensity-Dependent Refractive Index......Page 219
Tensor Nature of the Third-Order Susceptibility......Page 223
Nonresonant Electronic Nonlinearities......Page 233
Nonlinearities Due to Molecular Orientation......Page 240
Thermal Nonlinear Optical Effects......Page 247
Semiconductor Nonlinearities......Page 252
Concluding Remarks......Page 259
References......Page 263
Nonlinear Susceptibilities Calculated Using Time-Independent Perturbation Theory......Page 265
Semiempirical Models of the Nonlinear Optical Susceptibility......Page 271
Model of Boling, Glass, and Owyoung......Page 272
Nonlinear Optical Properties of Conjugated Polymers......Page 274
Bond-Charge Model of Nonlinear Optical Properties......Page 276
Nonlinear Optics of Chiral Media......Page 280
Nonlinear Optics of Liquid Crystals......Page 283
Problems......Page 285
References......Page 286
Introduction......Page 288
Density Matrix Equations of Motion for a Two-Level Atom......Page 289
Steady-State Response of a Two-Level Atom to a Monochromatic Field......Page 296
Optical Bloch Equations......Page 304
Rabi Oscillations and Dressed Atomic States......Page 312
Optical Wave Mixing in Two-Level Systems......Page 324
Problems......Page 337
References......Page 338
Self-Focusing of Light and Other Self-Action Effects......Page 340
Optical Phase Conjugation......Page 353
Optical Bistability and Optical Switching......Page 370
Two-Beam Coupling......Page 380
Pulse Propagation and Temporal Solitons......Page 386
Problems......Page 394
References......Page 399
Features of Spontaneous Light Scattering......Page 402
Microscopic Theory of Light Scattering......Page 407
Thermodynamic Theory of Scalar Light Scattering......Page 413
Acoustooptics......Page 424
Problems......Page 438
References......Page 439
Stimulated Scattering Processes......Page 440
Electrostriction......Page 442
Stimulated Brillouin Scattering (Induced by Electrostriction)......Page 447
Phase Conjugation by Stimulated Brillouin Scattering......Page 459
Stimulated Brillouin Scattering in Gases......Page 464
Stimulated Brillouin and Stimulated Rayleigh Scattering......Page 466
Problems......Page 479
References......Page 481
The Spontaneous Raman Effect......Page 483
Spontaneous versus Stimulated Raman Scattering......Page 484
Stimulated Raman Scattering Described by the Nonlinear Polarization......Page 489
Stokes-Anti-Stokes Coupling in Stimulated Raman Scattering......Page 498
Coherent Anti-Stokes Raman Scattering......Page 509
Stimulated Rayleigh-Wing Scattering......Page 511
References......Page 518
Introduction to the Electrooptic Effect......Page 520
Linear Electrooptic Effect......Page 521
Electrooptic Modulators......Page 525
Introduction to the Photorefractive Effect......Page 532
Photorefractive Equations of Kukhtarev et al.......Page 535
Two-Beam Coupling in Photorefractive Materials......Page 537
Four-Wave Mixing in Photorefractive Materials......Page 545
References......Page 549
Introduction to Optical Damage......Page 551
Avalanche-Breakdown Model......Page 552
Influence of Laser Pulse Duration......Page 554
Direct Photoionization......Page 556
Multiphoton Absorption and Multiphoton Ionization......Page 557
References......Page 567
Ultrashort Pulse Propagation Equation......Page 569
Interpretation of the Ultrashort-Pulse Propagation Equation......Page 575
Intense-Field Nonlinear Optics......Page 579
Motion of a Free Electron in a Laser Field......Page 580
High-Harmonic Generation......Page 583
Nonlinear Optics of Plasmas and Relativistic Nonlinear Optics......Page 587
Nonlinear Quantum Electrodynamics......Page 591
References......Page 594
The SI System of Units......Page 596
The Gaussian System of Units......Page 603
Systems of Units in Nonlinear Optics......Page 607
Relationship between Intensity and Field Strength......Page 609
Physical Constants......Page 610
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