# Nonlinear Optics

- Debbie Prato
- Robert Boyd, Professor of Optics and Physics, The Institute of Optics, University of Rochester, NY, USA

**By**

Nonlinear optics is the study of the interaction of intense laser light with matter. The third edition of this textbook has been rewritten to conform to the standard SI system of units and includes comprehensively updated material on the latest developments in the field.The book presents an introduction to the entire field of optical physics and specifically the area of nonlinear optics, covering fundamental issues and applied aspects of this exciting area.Nonlinear Optics will have lasting appeal to a wide audience of physics, optics, and electrical engineering students, as well as to working researchers and engineers. Those in related fields, such as materials science and chemistry, will also find this book of particular interest.

View full description### Audience

Graduate-level courses on nonlinear optics in EE, ECE and Physics departments. Reference for practitioners of nonlinear optics.

### Book information

- Published: March 2008
- Imprint: ACADEMIC PRESS
- ISBN: 978-0-12-369470-6

### Table of Contents

Preface to the Third Edition

Preface to the Second Edition

Preface to the First Edition

1. The Nonlinear Optical Susceptibility

1.1. Introduction to Nonlinear Optics

1.2. Descriptions of Nonlinear Optical Processes

1.3. Formal Definition of the Nonlinear Susceptibility

1.4. Nonlinear Susceptibility of a Classical Anharmonic Oscillator

1.5. Properties of the Nonlinear Susceptibility

1.6. Time-Domain Description of Optical Nonlinearities

1.7. Kramers-Kronig Relations in Linear and Nonlinear Optics

Problems

References

2. Wave-Equation Description of Nonlinear Optical Interactions

2.1. The Wave Equation for Nonlinear Optical Media

2.2. The Coupled-Wave Equations for Sum-Frequency Generation

2.3. Phase Matching

2.4. Quasi-Phase-Matching

2.5. The Manley-Rowe Relations

2.6. Sum-Frequency Generation

2.7. Second-Harmonic Generation

2.8. Difference-Frequency Generation and Parametric Amplification

2.9. Optical Parametric Oscillators

2.10. Nonlinear Optical Interactions with Focused Gaussian Beams

2.11. Nonlinear Optics at an Interface

Problems

References

3. Quantum-Mechanical Theory of the Nonlinear Optical Susceptibility

3.1. Introduction

3.2. Schrödinger Calculation of Nonlinear Optical Susceptibility

3.3. Density Matrix Formulation of Quantum Mechanics

3.4. Perturbation Solution of the Density Matrix Equation of Motion

3.5. Density Matrix Calculation of the Linear Susceptibility

3.6. Density Matrix Calculation of the Second-Order Susceptibility

3.7. Density Matrix Calculation of the Third-Order Susceptibility 18

3.8. Electromagnetically Induced Transparency

3.9. Local-Field Corrections to the Nonlinear Optical Susceptibility

Problems

References

4. The Intensity-Dependent Refractive Index

4.1. Descriptions of the Intensity-Dependent Refractive Index

4.2. Tensor Nature of the Third-Order Susceptibility

4.3. Nonresonant Electronic Nonlinearities

4.4. Nonlinearities Due to Molecular Orientation

4.5. Thermal Nonlinear Optical Effects

4.6. Semiconductor Nonlinearities

4.7. Concluding Remarks

References

5. Molecular Origin of the Nonlinear Optical Response

5.1. Nonlinear Susceptibilities Calculated Using Time-Independent Perturbation Theory

5.2. Semiempirical Models of the Nonlinear Optical Susceptibility

Model of Boling, Glass, and Owyoung

5.3. Nonlinear Optical Properties of Conjugated Polymers

5.4. Bond-Charge Model of Nonlinear Optical Properties

5.5. Nonlinear Optics of Chiral Media

5.6. Nonlinear Optics of Liquid Crystals

Problems

References

6. Nonlinear Optics in the Two-Level Approximation

6.1. Introduction

6.2. Density Matrix Equations of Motion for a Two-Level Atom

6.3. Steady-State Response of a Two-Level Atom to a Monochromatic Field

6.4. Optical Bloch Equations

6.5. Rabi Oscillations and Dressed Atomic States

6.6. Optical Wave Mixing in Two-Level Systems

Problems

References

7. Processes Resulting from the Intensity-Dependent Refractive Index

7.1. Self-Focusing of Light and Other Self-Action Effects

7.2. Optical Phase Conjugation

7.3. Optical Bistability and Optical Switching

7.4. Two-Beam Coupling

7.5. Pulse Propagation and Temporal Solitons

Problems

References

8. Spontaneous Light Scattering and Acoustooptics

8.1. Features of Spontaneous Light Scattering

8.2. Microscopic Theory of Light Scattering

8.3. Thermodynamic Theory of Scalar Light Scattering

8.4. Acoustooptics

Problems

References

9. Stimulated Brillouin and Stimulated Rayleigh Scattering

9.1. Stimulated Scattering Processes

9.2. Electrostriction

9.3. Stimulated Brillouin Scattering (Induced by Electrostriction)

9.4. Phase Conjugation by Stimulated Brillouin Scattering

9.5. Stimulated Brillouin Scattering in Gases

9.6. Stimulated Brillouin and Stimulated Rayleigh Scattering

Problems

References

10. Stimulated Raman Scattering and Stimulated Rayleigh-Wing Scattering

10.1. The Spontaneous Raman Effect

10.2. Spontaneous versus Stimulated Raman Scattering

10.3. Stimulated Raman Scattering Described by the Nonlinear Polarization

10.4. Stokes-Anti-Stokes Coupling in Stimulated Raman Scattering

10.5. Coherent Anti-Stokes Raman Scattering

10.6. Stimulated Rayleigh-Wing Scattering

Problems

References

11. The Electrooptic and Photorefractive Effects

11.1. Introduction to the Electrooptic Effect

11.2. Linear Electrooptic Effect

11.3. Electrooptic Modulators

11.4. Introduction to the Photorefractive Effect

11.5. Photorefractive Equations of Kukhtarev et al.

11.6. Two-Beam Coupling in Photorefractive Materials

11.7. Four-Wave Mixing in Photorefractive Materials

Problems

References

12. Optically Induced Damage and Multiphoton Absorption

12.1. Introduction to Optical Damage

12.2. Avalanche-Breakdown Model

12.3. Influence of Laser Pulse Duration

12.4. Direct Photoionization

12.5. Multiphoton Absorption and Multiphoton Ionization

Problems

References

13. Ultrafast and Intense-Field Nonlinear Optics

13.1. Introduction

13.2. Ultrashort Pulse Propagation Equation

13.3. Interpretation of the Ultrashort-Pulse Propagation Equation

13.4. Intense-Field Nonlinear Optics

13.5. Motion of a Free Electron in a Laser Field

13.6. High-Harmonic Generation

13.7. Nonlinear Optics of Plasmas and Relativistic Nonlinear Optics

13.8. Nonlinear Quantum Electrodynamics

Problem

References

Appendices

A. The SI System of Units

Further reading

B. The Gaussian System of Units

Further reading

C. Systems of Units in Nonlinear Optics

D. Relationship between Intensity and Field Strength

E. Physical Constants

Index