Nonlinear Optics - George I Stegeman

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Résumé :

Preface xi

1. Introduction 1

1.1 What is Nonlinear Optics and What is it Good for? 1

1.2 Notation 2

1.3 Classical Nonlinear Optics Expansion 4

1.4 Simple Model: Electron on a Spring and its Application to Linear Optics 6

1.5 Local Field Correction 10

Suggested Further Reading 13

Part A: Second-order Phenomena 15

2. Second-Order Susceptibility and Nonlinear Coupled Wave Equations 17

2.1 Anharmonic Oscillator Derivation of Second-Order Susceptibilities 18

2.2 Input Eigenmodes, Permutation Symmetry, and Properties of ? (2) 23

2.3 Slowly Varying Envelope Approximation 25

2.4 Coupled Wave Equations 26

2.5 Manley-Rowe Relations and Energy Conservation 31

Suggested Further Reading 38

3. Optimization and Limitations of Second-Order Parametric Processes 39

3.1 Wave-Vector Matching 39

3.2 Optimizing d(2)eff 53

3.3 Numerical Examples 59

References 67

Suggested Further Reading 67

4. Solutions for Plane-Wave Parametric Conversion Processes 69

4.1 Solutions of the Type 1 SHG Coupled Wave Equations 69

4.2 Solutions of the Three-Wave Coupled Equations 77

4.3 Characteristic Lengths 80

4.4 Nonlinear Modes 81

References 84

Suggested Further Reading 85

5. Second Harmonic Generation with Finite Beams and Applications 86

5.1 SHG with Gaussian Beams 86

5.2 Unique and Performance-Enhanced Applications of Periodically Poled LiNbO₃ (PPLN) 98

References 107

Suggested Further Reading 107

6. Three-Wave Mixing, Optical Amplifiers, and Generators 108

6.1 Three-Wave Mixing Processes 108

6.2 Manley-Rowe Relations 110

6.3 Sum Frequency Generation 111

6.4 Optical Parametric Amplifiers 113

6.5 Optical Parametric Oscillator 119

6.6 Mid-Infrared Quasi-Phase Matching Parametric Devices 128

References 139

Selected Further Reading 140

7. ? (2) Materials and Their Characterization 141

7.1 Survey of Materials 141

7.2 Oxide-Based Dielectric Crystals 143

7.3 Organic Materials 144

7.4 Measurement Techniques 149

Appendix 7.1: Quantum Mechanical Model for Charge Transfer Molecular Nonlinearities 153

References 157

Suggested Further Reading 158

Part B: Nonlinear Susceptibilities 159

8. Second- and Third-Order Susceptibilities: Quantum Mechanical Formulation 161

8.1 Perturbation Theory of Field Interaction with Molecules 162

8.2 Optical Susceptibilities 169

Appendix 8.1: ? (3)ijk'

Symmetry Properties for Different Crystal Classes 192

Reference 196

Suggested Further Reading 196

9. Molecular Nonlinear Optics 197

9.1 Two-Level Model 198

9.2 Symmetric Molecules 210

9.3 Density Matrix Formalism 215

Appendix 9.1: Two-Level Model for Asymmetric Molecules-Exact Solution 216

Appendix 9.2: Three-Level Model for Symmetric Molecules-Exact Solution 218

References 222

Suggested Further Reading 223

Part C: Third-order Phenomena 225

10. Kerr Nonlinear Absorption and Refraction 227

10.1 Nonlinear Absorption 228

10.2 Nonlinear Refraction 238

10.3 Useful NLR Formulas and Examples (Isotropic Media) 243

Suggested Further Reading 250

11. Condensed Matter Third-Order Nonlinearities due to Electronic Transitions 251

11.1 Device-Based Nonlinear Material Figures of Merit 252

11.2 Local Versus Nonlocal Nonlinearities in Space and Time 253

11.3 Survey of Nonlinear Refraction and Absorption Measurements 255

11.4 Electronic Nonlinearities Involvi...

Biographie:

GEORGE I. STEGEMAN, PhD, is Chair Professor in the College of Engineering at KFUPM, Saudi Arabia, and Emeritus Professor at the College of Optics and Photonics (CREOL) of the University of Central Florida (UCF). He is the first recipient of the Cobb Family Eminent Chair in Optical Sciences and Engineering at UCF. Dr. Stegeman is a Fellow of the Optical Society of America and has received the Canadian Association of Physicists's Herzberg Medal for achievement in physics and the Optical Society of America's R.W. Wood Prize.

ROBERT A. STEGEMAN, PhD, has held professional positions at the College of Optical Sciences at The University of Arizona, as well as various industrial companies.