Nonlinear Optics (eBook)

Front Cover 1
Nonlinear Optics 4
Copyright Page 5
Table of Contents 8
Dedication 6
Preface 12
Chapter 1. The Nonlinear Optical Susceptibility 16
1.1. Introduction to Nonlinear Optics 16
1.2. Descriptions of Nonlinear Optical Interactions 19
1.3. Formal Definition of the Nonlinear Susceptibility 32
1.4. Nonlinear Susceptibility of a Classical Anharmonic Oscillator 36
1.5. Properties of the Nonlinear Susceptibility 47
Chapter 2. Wave-Equation Description of Nonlinear Optical Interactions 72
2.1. The Wave Equation for Nonlinear Optical Media 72
2.2. The Coupled-Wave Equations for Sum-Frequency Generation 77
2.3. The Manley–Rowe Relations 82
2.4. Sum-Frequency Generation 84
2.5. Difference-Frequency Generation and Parametric Amplification 90
2.6. Second-Harmonic Generation 93
2.7. Phase-Matching Considerations 100
2.8. Nonlinear Optical Interactions with Focused Gaussian Beams 105
Chapter 3. Quantum-Mechanical Theory of the Nonlinear Optical Susceptibility 116
3.1. Introduction 116
3.2. Schrödinger Equation Calculation of the Nonlinear Optical Susceptibility 118
3.3. Density Matrix Formalism of Quantum Mechanics 131
3.4. Perturbation Solution of the Density Matrix Equation of Motion 138
3.5. Density Matrix Calculation of the Linear Susceptibility 141
3.6. Density Matrix Calculation of the Second-Order Susceptibility 149
3.7. Density Matrix Calculation of the Third-Order Susceptibility 158
3.8. Local-Field Corrections to the Nonlinear Optical Susceptibility 163
Chapter 4. The Intensity-Dependent Refractive Index 174
4.1. Descriptions of the Intensity-Dependent Refractive Index 174
4.2. Tensor Nature of the Third-Order Susceptibility 179
4.3. Nonresonant Electronic Nonlinearities 187
4.4. Nonlinearities Due to Molecular Orientation 193
Chapter 5. Nonlinear Optics in the Two-Level Approximation 206
5.1. Introduction 206
5.2. Density Matrix Equations of Motion for a Two-Level Atom 207
5.3. Steady-State Response of a Two-Level Atom to a Monochromatic Field 214
5.4. Optical Bloch Equations 221
5.5. Rabi Oscillations and Dressed Atomic States 229
5.6. Optical Wave Mixing in Two-Level Systems 240
Chapter 6. Processes Resulting from the Intensity-Dependent Refractive Index 256
6.1. Optical Phase Conjugation 256
6.2. Self-Focusing of Light 272
6.3. Optical Bistability 277
6.4. Two-Beam Coupling 284
6.5. Pulse Propagation and Optical Solitons 289
Chapter 7. Spontaneous Light Scattering and Acousto-optics 302
7.1. Features of Spontaneous Light Scattering 302
7.2. Microscopic Theory of Light Scattering 308
7.3. Thermodynamic Theory of Scalar Light Scattering 313
7.4. Acousto-optics 324
Chapter 8. Stimulated Brillouin and Stimulated Rayleigh Scattering 340
8.1. Stimulated Scattering Processes 340
8.2. Electrostriction 342
8.3. Stimulated Brillouin Scattering (Induced by Electrostriction) 346
8.4. Phase Conjugation by Stimulated Brillouin Scattering 358
8.5. Stimulated Brillouin Scattering in Gases 362
8.6. General Theory of Stimulated Brillouin and Stimulated Rayleigh Scattering 364
Chapter 9. Stimulated Raman Scattering and Stimulated Rayleigh-Wing Scattering 380
9.1. The Spontaneous Raman Effect 380
9.2. Spontaneous versus Stimulated Raman Scattering 381
9.3. Stimulated Raman Scattering Described through Use of the Nonlinear Polarization 387
9.4. Stokes–Anti-Stokes Coupling in Stimulated Raman Scattering 395
9.5. Stimulated Rayleigh-Wing Scattering 404
Chapter 10. The Electrooptic and Photorefractive Effects 414
10.1. Introduction to the Electrooptic Effect 414
10.2. Linear Electrooptic Effect 415
10.3. Electrooptic Modulators 420
10.4. Introduction to the Photorefractive Effect 426
10.5. Photorefractive Equations of Kukhtarev et al. 428
10.6. Two-Beam Coupling in Photorefractive Materials 431
10.7. Four-Wave Mixing in Photorefractive Materials 438
Appendices 444
Appendix A. Systems of Units in Nonlinear Optics 444
Appendix B. Relationship between Intensity and Field Strength 447
Appendix C. Physical Constants 448
Index 450