Fundamentals of Nonlinear Optics

Peter E. Powers is a professor of physics and electro-optics and the Brother Leonard A. Mann Chair in the Sciences at the University of Dayton. Dr. Powers previously worked at Sandia National laboratories as a post-doctoral research associate. He earned a Ph.D. in applied and engineering physics from Cornell University. His research interests include nonlinear optics and its application to other branches of physics and applied physics. Special Note: CRC Press wishes to honor and celebrate the life and works of the author, who passed on May 10, 2014 after a long battle with cancer. He was Brother Leonard A. Mann Chair in the Sciences and Professor of Physics at the University of Dayton—a dedicated educator, scientist, mentor, and leader. He is survived by his wife and four children. At the time of his passing, he had been planning a second edition of his popular textbook. He will be deeply missed.

Introduction
Historical Background
Unifying Themes
Overview of Nonlinear Effects Covered in this Book
Labeling Conventions and Terminology
Units





Linear Optics
Introduction
Tensor Properties of Materials
Wave Equation
Determining e-Waves and o-Waves in Crystals
Index Ellipsoid
Applications





Introduction to the Nonlinear Susceptibility
Introduction
Classical Origin of the Nonlinearity
Details of the Nonlinear Susceptibility, χ(2)
Connection between Crystal Symmetry and the d-Matrix
Electro-Optic Effect





Three-Wave Processes in the Small-Signal Regime
Introduction to the Wave Equation for Three Fields
Birefringent Phase Matching
Tuning Curves and Phase-Matching Tolerances
Taylor Series Expansion Techniques for Determining Bandwidth
Noncollinear Phase Matching





Quasi-Phase Matching
Introduction to Quasi-Phase Matching
Linear and Nonlinear Material Considerations
QPM with Periodic Structures
QPM Calculation: An Example
Fourier Transform Treatment of QPM
Tolerances
Fabricating Quasi-Phase-Matched Structures





Three-Wave Mixing beyond the Small-Signal Limit
Introduction
DFG with a Single Strong Pump
DFG with Strong Pump and Loss
Solutions for All Three Coupled Amplitude Equations
Spontaneous Parametric Scattering (Optical Parametric Generation)





χ(2) Devices
Introduction
Optimizing Device Performance: Focusing
Resonator Devices





χ(3) Processes
Introduction
Nonlinear Polarization for χ(3) Processes
Wave Equation for χ(3) Interactions
Self-Induced Effects
Parametric Amplifiers
Noncollinear Processes
Degenerate Four-Wave Mixing
Z -Scan


Raman and Brillouin Scattering
Introduction
Spontaneous Raman Scattering
Stimulated Raman Scattering
Anti-Stokes Generation
Raman Amplifiers
Photoacoustic Effects: Raman–Nath Diffraction
Brillouin Scattering


Nonlinear Optics Including Diffraction and Dispersion
Introduction
Spatial Effects
Temporal Effects
Solutions to the Nonlinear Envelope Equation


Appendix A: Complex Notation
Appendix B: Sellmeier Equations
Appendix C: Programming Techniques
Appendix D: Exact Solutions to the Coupled Amplitude Equations


Index


Problems, References, and Further Reading appear at the end of most chapters.