Clear, integrated coverage of all aspects of nonlinear
optics--phenomena, materials, and devices

Coauthored by George Stegeman, one of the most highly respected
pioneers of nonlinear optics--with contributions on
applications from Robert Stegeman--this book covers nonlinear
optics from a combined physics, optics, materials science, and
devices perspective. It offers a thoroughly balanced treatment of
concepts, nonlinear materials, practical aspects of nonlinear
devices, and current application areas.

Beginning with the presentation of a simple electron on a spring
model--to help readers make the leap from concepts to
applications--Nonlinear Optics gives comprehensive
explanations of second-order phenomena, derivation of nonlinear
susceptibilities, third-order nonlinear effects, multi-wave mixing,
scattering, and more. Coverage includes:

* Nonlinear response of materials at the molecular level

* Second-order nonlinear devices, their optimization and
limitations

* The physical origins of second- and third-order
nonlinearities

* Typical frequency dispersion of nonlinearities, explained in
terms of simple two- and three-level models

* Ultrafast and ultrahigh intensity processes

* Practice problems demonstrating the design of such nonlinear
devices as frequency doublers and optical oscillators

Based on more than twenty years of lectures at the College of
Optics and Photonics (CREOL) at the University of Central Florida,
Nonlinear Optics introduces all topics from the ground up,
making the material easily accessible not only for physicists, but
also for chemists and materials scientists, as well as
professionals in diverse areas of optics, from laser physics to
electrical engineering.

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.

Clear, integrated coverage of all aspects of nonlinear optics—phenomena, materials, and devices

Coauthored by George Stegeman, one of the most highly respected pioneers of nonlinear optics—with contributions on applications from Robert Stegeman—this book covers nonlinear optics from a combined physics, optics, materials science, and devices perspective. It offers a thoroughly balanced treatment of concepts, nonlinear materials, practical aspects of nonlinear devices, and current application areas.

Beginning with the presentation of a simple electron on a spring model—to help readers make the leap from concepts to applications—Nonlinear Optics gives comprehensive explanations of second-order phenomena, derivation of nonlinear susceptibilities, third-order nonlinear effects, multi-wave mixing, scattering, and more. Coverage includes:

• Nonlinear response of materials at the molecular level
• Second-order nonlinear devices, their optimization and limitations
• The physical origins of second- and third-order nonlinearities
• Typical frequency dispersion of nonlinearities, explained in terms of simple two- and three-level models
• Ultrafast and ultrahigh intensity processes
• Practice problems demonstrating the design of such nonlinear devices as frequency doublers and optical oscillators

Based on more than twenty years of lectures at the College of Optics and Photonics (CREOL) at the University of Central Florida, Nonlinear Optics introduces all topics from the ground up, making the material easily accessible not only for physicists, but also for chemists and materials scientists, as well as professionals in diverse areas of optics, from laser physics to electrical engineering.

Clear, integrated coverage of all aspects of nonlinear opticsphenomena, materials, and devices

Coauthored by George Stegeman, one of the most highly respected pioneers of nonlinear opticswith contributions on applications from Robert Stegemanthis book covers nonlinear optics from a combined physics, optics, materials science, and devices perspective. It offers a thoroughly balanced treatment of concepts, nonlinear materials, practical aspects of nonlinear devices, and current application areas.

Beginning with the presentation of a simple electron on a spring modelto help readers make the leap from concepts to applicationsNonlinear Optics gives comprehensive explanations of second-order phenomena, derivation of nonlinear susceptibilities, third-order nonlinear effects, multi-wave mixing, scattering, and more. Coverage includes:

• Nonlinear response of materials at the molecular level
• Second-order nonlinear devices, their optimization and limitations
• The physical origins of second- and third-order nonlinearities
• Typical frequency dispersion of nonlinearities, explained in terms of simple two- and three-level models
• Ultrafast and ultrahigh intensity processes
• Practice problems demonstrating the design of such nonlinear devices as frequency doublers and optical oscillators

Based on more than twenty years of lectures at the College of Optics and Photonics (CREOL) at the University of Central Florida, Nonlinear Optics introduces all topics from the ground up, making the material easily accessible not only for physicists, but also for chemists and materials scientists, as well as professionals in diverse areas of optics, from laser physics to electrical engineering.

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 ManleyRowe 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. Thr…