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| Preface | |
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| Introduction | |
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| What is Nonlinear Optics and What is it Good for? | |
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| Notation | |
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| Classical Nonlinear Optics Expansion | |
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| Simple Model: Electron on a Spring and its Application to Linear Optics | |
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| Local Field Correction | |
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| Suggested Further Reading | |
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| Second-Order Phenomena | |
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| Second-Order Susceptibility and Nonlinear Coupled Wave Equations | |
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| Anharmonic Oscillator Derivation of Second-Order Susceptibilities | |
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| Input Eigenmodes, Permutation Symmetry, and Properties of x<sup>(2)</sup> | |
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| Slowly Varying Envelope Approximation | |
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| Coupled Wave Equations | |
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| Manley-Rowe Relations and Energy Conservation | |
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| Suggested Further Reading | |
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| Optimization and Limitations of Second-Order Parametric Processes | |
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| Wave-Vector Matching | |
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| Optimizing d<sup>(2)</sup><sub>eff</sub> | |
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| Numerical Examples | |
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| References | |
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| Suggested Further Reading | |
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| Solutions for Plane-Wave Parametric Conversion Processes | |
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| Solutions of the Type 1 SHG Coupled Wave Equations | |
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| Solutions of the Three-Wave Coupled Equations | |
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| Characteristic Lengths | |
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| Nonlinear Modes | |
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| References | |
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| Suggested Further Reading | |
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| Second Harmonic Generation with Finite Beams and Applications | |
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| SHG with Gaussian Beams | |
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| Unique and Performance-Enhanced Applications of Periodically Poled LiNbO<sub>3</sub> (PPLN) | |
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| References | |
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| Suggested Further Reading | |
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| Three-Wave Mixing, Optical Amplifiers, and Generators | |
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| Three-Wave Mixing Processes | |
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| Manley-Rowe Relations | |
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| Sum Frequency Generation | |
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| Optical Parametric Amplifiers | |
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| Optical Parametric Oscillator | |
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| Mid-Infrared Quasi-Phase Matching Parametric Devices | |
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| References | |
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| Selected Further Reading | |
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| x<sup>2</sup> Materials and Their Characterization | |
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| Survey of Materials | |
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| Oxide-Based Dielectric Crystals | |
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| Organic Materials | |
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| Measurement Techniques | |
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| Quantum Mechanical Model for Charge Transfer Molecular Nonlinearities | |
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| References | |
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| Suggested Further Reading | |
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| Nonlinear Susceptibilities | |
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| Second- and Third-Order Susceptibilities: Quantum Mechanical Formulation | |
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| Perturbation Theory of Field Interaction with Molecules | |
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| Optical Susceptibilities | |
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| x<sup>(3)</sup><sub>ijkl</sub> Symmetry Properties for Different Crystal Classes | |
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| Reference | |
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| Suggested Further Reading | |
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| Molecular Nonlinear Optics | |
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| Two-Level Model | |
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| Symmetric Molecules | |
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| Density Matrix Formalism | |
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| Two-Level Model for Asymmetric Molecules-Exact Solution | |
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| Three-Level Model for Symmetric Molecules-Exact Solution | |
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| References | |
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| Suggested Further Reading | |
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| Third-Order Phenomena | |
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| Kerr Nonlinear Absorption and Refraction | |
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| Nonlinear Absorption | |
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| Nonlinear Refraction | |
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| Useful NLR Formulas and Examples (Isotropic Media) | |
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| Suggested Further Reading | |
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| Condensed Matter Third-Order Nonlinearities due to Electronic Transitions | |
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| Device-Based Nonlinear Material Figures of Merit | |
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| Local Versus Nonlocal Nonlinearities in Space and Time | |
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| Survey of Nonlinear Refraction and Absorption Measurements | |
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| Electronic Nonlinearities Involving Discrete States | |
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| Overview of Semiconductor Nonlinearities | |
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| Glass Nonlinearities | |
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| Expressions for the Kerr, Raman, and Quadratic Stark Effects | |
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| References | |
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| Suggested Further Reading | |
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| Miscellaneous Third-Order Nonlinearities | |
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| Molecular Reorientation Effects in Liquids and Liquid Crystals | |
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| Photorefractive Nonlinearities | |
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| Nuclear (Vibrational) Contributions to n<sub>211</sub> (-w; w) | |
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| Electrostriction | |
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| Thermo-Optic Effect | |
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| X<sup>(3)</sup> via Cascaded X<sup>(2)</sup> Nonlinear Processes: Nonlocal | |
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| Spontaneous Raman Scattering | |
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| References | |
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| Suggested Further Reading | |
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| Techniques for Measuring Third-Order Nonlinearities | |
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| Z-Scan | |
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| Third Harmonic Generation | |
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| Optical Kerr Effect Measurements | |
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| Nonlinear Optical Interferometry | |
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| Degenerate Four-Wave Mixing | |
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| References | |
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| Suggested Further Reading | |
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| Ramifications and Applications of Nonlinear Refraction | |
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| Self-Focusing and Defocusing of Beams | |
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| Self-Phase Modulation and Spectral Broadening in Time | |
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| Instabilities | |
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| Solitons (Nonlinear Modes) | |
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| Optical Bistability | |
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| All-Optical Signal Processing and Switching | |
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| References | |
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| Suggested Further Reading | |
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| Multiwave Mixing | |
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| Degenerate Four-Wave Mixing | |
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| Degenerate Three-Wave Mixing | |
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| Nondegenerate Wave Mixing | |
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| Reference | |
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| Suggested Further Reading | |
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| Stimulated Scattering | |
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| Stimulated Raman Scattering | |
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| Stimulated Brillouin Scattering | |
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| References | |
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| Suggested Further Reading | |
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| Ultrafast and Ultrahigh Intensity Processes | |
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| Extended Nonlinear Wave Equation | |
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| Formalism for Ultrafast Fiber Nonlinear Optics | |
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| Examples of Nonlinear Optics in Fibers | |
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| High Harmonic Generation | |
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| References | |
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| Suggested Further Reading | |
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| Appendix: Units, Notation, and Physical Constants | |
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| Units of Third-Order Nonlinearity | |
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| Values of Useful Constants | |
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| Reference | |
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| Index | |