Table of contents for Nonlinear optics / Robert W. Boyd.


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1. The Nonlinear Optical Susceptibility                        1
1.1. Introduction to Nonlinear Optics                      1
1.2. Descriptions of Nonlinear Optical Processes           4
1.3. Formal Definition of the Nonlinear Susceptibility    17
1.4. Nonlinear Susceptibility of a Classical Anharmonic
Oscillator                                           21
1.5. Properties of the Nonlinear Susceptibility           33
1.6. Time-Domain Description of Optical Nonlinearities    52
1.7. Kramers-Kronig Relations in Linear and Nonlinear Optics  58
Problems                                             63
References                                           65
2. Wave-Equation Description of Nonlinear Optical Interactions  69
2.1. The Wave Equation for Nonlinear Optical Media        69
2.2. The Coupled-Wave Equations for Sum-Frequency
Generation                                           74
2.3. Phase Matching                                       79
2.4. Quasi-Phase-Matching                                 84
2.5. The Manley-Rowe Relations                            88
2.6. Sum-Frequency Generation                             91
2.7. Second-Harmonic Generation                           96
vii
2.8. Difference-Frequency Generation and Parametric
Amplification                                       105
2.9. Optical Parametric Oscillators                      108
2.10. Nonlinear Optical Interactions with Focused
Gaussian Beams                                      116
2.11. Nonlinear Optics at an Interface                   122
Problems                                            128
References                                          132
3. Quantum-Mechanical Theory of the Nonlinear Optical
Susceptibility                                           135
3.1. Introduction                                        135
3.2. Schr6dinger Calculation of Nonlinear Optical Susceptibility  137
3.3. Density Matrix Formulation of Quantum Mechanics     150
3.4. Perturbation Solution of the Density Matrix
Equation of Motion                                  158
3.5. Density Matrix Calculation of the Linear Susceptibility  161
3.6. Density Matrix Calculation of the Second-Order
Susceptibility                                      170
3.7. Density Matrix Calculation of the Third-Order Susceptibility 180
3.8. Electromagnetically Induced Transparency            185
3.9. Local-Field Corrections to the Nonlinear
Optical Susceptibility                              194
Problems                                            201
References                                          204
4. The Intensity-Dependent Refractive Index                  207
4.1. Descriptions of the Intensity-Dependent Refractive Index  207
4.2. Tensor Nature of the Third-Order Susceptibility     211
4.3. Nonresonant Electronic Nonlinearities               221
4.4. Nonlinearities Due to Molecular Orientation         228
4.5. Thermal Nonlinear Optical Effects                   235
4.6. Semiconductor Nonlinearities                        240
4.7. Concluding Remarks                                  247
References                                          251
5. Molecular Origin of the Nonlinear Optical Response        253
5.1. Nonlinear Susceptibilities Calculated Using
Time-Independent Perturbation Theory                253
5.2. Semiempirical Models of the Nonlinear
Optical Susceptibility                             259
Model of Boling, Glass, and Owyoung                260
5.3. Nonlinear Optical Properties of Conjugated Polymers  262
5.4. Bond-Charge Model of Nonlinear Optical Properties  264
5.5. Nonlinear Optics of Chiral Media                   268
5.6. Nonlinear Optics of Liquid Crystals                271
Problems                                           273
References                                         274
6. Nonlinear Optics in the Two-Level Approximation         277
6.1. Introduction                                       277
6.2. Density Matrix Equations of Motion for a
Two-Level Atom                                     278
6.3. Steady-State Response of a Two-Level Atom to a
Monochromatic Field                                285
6.4. Optical Bloch Equations                            293
6.5. Rabi Oscillations and Dressed Atomic States        301
6.6. Optical Wave Mixing in Two-Level Systems           313
Problems                                           326
References                                         327
7. Processes Resulting from the Intensity-Dependent Refractive
Index                                                  329
7.1. Self-Focusing of Light and Other Self-Action Effects  329
7.2. Optical Phase Conjugation                          342
7.3. Optical Bistability and Optical Switching          359
7.4. Two-Beam Coupling                                  369
7.5. Pulse Propagation and Temporal Solitons            375
Problems                                           383
References                                         388
8. Spontaneous Light Scattering and Acoustooptics          391
8.1. Features of Spontaneous Light Scattering           391
8.2. Microscopic Theory of Light Scattering             396
8.3. Thermodynamic Theory of Scalar Light Scattering    402
8.4. Acoustooptics                                       413
Problems                                            427
References                                          428
9. Stimulated Brillouin and Stimulated Rayleigh Scattering   429
9.1. Stimulated Scattering Processes                     429
9.2. Electrostriction                                    431
9.3. Stimulated Brillouin Scattering (Induced by Electrostriction) 436
9.4. Phase Conjugation by Stimulated Brillouin Scattering  448
9.5. Stimulated Brillouin Scattering in Gases            453
9.6. Stimulated Brillouin and Stimulated Rayleigh Scattering  455
Problems                                            468
References                                          470
10. Stimulated Raman Scattering and Stimulated Rayleigh-Wing
Scattering                                               473
10.1. The Spontaneous Raman Effect                       473
10.2. Spontaneous versus Stimulated Raman Scattering     474
10.3. Stimulated Raman Scattering Described by the
Nonlinear Polarization                              479
10.4. Stokes-Anti-Stokes Coupling in Stimulated
Raman Scattering                                    488
10.5. Coherent Anti-Stokes Raman Scattering              499
10.6. Stimulated Rayleigh-Wing Scattering                501
Problems                                            508
References                                          508
11. The Electrooptic and Photorefractive Effects             511
11.1. Introduction to the Electrooptic Effect            511
11.2. Linear Electrooptic Effect                         512
11.3. Electrooptic Modulators                            516
11.4. Introduction to the Photorefractive Effect         523
11.5. Photorefractive Equations of Kukhtarev et al.      526
11.6. Two-Beam Coupling in Photorefractive Materials     528
11.7. Four-Wave Mixing in Photorefractive Materials      536
Problems                                            540
References                                          540
12. Optically Induced Damage and Multiphoton Absorption    543
12.1. Introduction to Optical Damage                   543
12.2. Avalanche-Breakdown Model                        544
12.3. Influence of Laser Pulse Duration                546
12.4. Direct Photoionization                           548
12.5. Multiphoton Absorption and Multiphoton Ionization  549
Problems                                          559
References                                        559
13. Ultrafast and Intense-Field Nonlinear Optics           561
13.1. Introduction                                     561
13.2. Ultrashort Pulse Propagation Equation            561
13.3. Interpretation of the Ultrashort-Pulse
Propagation Equation                              567
13.4. Intense-Field Nonlinear Optics                   571
13.5. Motion of a Free Electron in a Laser Field       572
13.6. High-Harmonic Generation                         575
13.7. Nonlinear Optics of Plasmas and Relativistic
Nonlinear Optics                                  579
13.8. Nonlinear Quantum Electrodynamics                583
Problem                                           586
References                                        586
Appendices                                                 589
A.   The SI System of Units                            589
Further reading                                   596
B.   The Gaussian System of Units                      596
Further reading                                   600
C.   Systems of Units in Nonlinear Optics              600
D.   Relationship between Intensity and Field Strength  602
E.   Physical Constants                                603



Library of Congress subject headings for this publication: Nonlinear optics