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Spie Press Book

Field Guide to Nonlinear Optics
Author(s): Peter E. Powers
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Book Description

This Field Guide is designed for those looking for a condensed and concise source of key concepts, equations, and techniques for nonlinear optics. Examples throughout this Field Guide illustrate fundamental concepts while demonstrating the application of key equations. Topics covered include technologically important effects, recent developments in nonlinear optics, and linear optical properties central to nonlinear phenomena, with a focus on real-world applicability in the field of nonlinear optics.

Book Details

Date Published: 8 August 2013
Pages: 112
ISBN: 9780819496355
Volume: FG29

Table of Contents
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Glossary of Terms and Acronyms
Electromagnetic Waves and Crystal Optics
Conventions and Conversions
Maxwell’s Equations and the Wave Equation
Uniaxial Crystals
Biaxial Crystals
Nonlinear Susceptiblity
Nonlinear Polarization for Parametric Interactions
Classical Expressions for Nonlinear Susceptibility
Nonlinear Susceptibilities
d Matrices
Working with d Matrices and SHG
Effective Nonlinearities
Tabulation of d Matrices
Electro-optic Effect
Electro-optic Effect
r Matrices
Electro-optic Waveplates
Q Switches
Amplitude and Phase Modulators
Electro-optic Sampling for Terahertz Detection
Photorefraction
χ(2) Parametric Processes
χ(2) Coupled Amplitude Equations
χ(2) Processes with Focused Gaussian Beams
DFG and OPA
Sum-Frequency Generation
Second-Harmonic Generation
Three-Wave Mixing Processes with Depletion
Optical Parametric Generation
Optical Parametric Oscillator
Singly Resonant Optical Parametric Oscillator
Phase Matching
Birefringent Phase Matching
e-Waves and o-WavesPhase Matching
DFG and SFG Phase Matching for Uniaxial Crystals
SHG Phase Matching for Uniaxial Crystals
Biaxial Crystals in the XY Plane
Biaxial Crystals in the YZ Plane
Biaxial Crystals in the XZ Plane
Quasi-phase-matching
Birefringent versus Quasi-phase-matching
Noncollinear Phase Matching
Tuning Curves
Phase Matching Bandwidth
Bandwidths for DFG and SFG
Bandwidth Calculation Aids
SFG and DFG Bandwidths
SHG Bandwidths
Graphical Approach for Bandwidths
Noncollinear Bandwidth
χ(2) Waveguides
χ(2) Waveguide Interactions
χ(2) Waveguide Devices
χ(3) Parameteric Processes
Phase Matching in Waveguides
Four-Wave Mixing
Degenerate Four-Wave Mixing
Third-Harmonic Generation
χ(3) Parametric Amplifier
Noncollinear Phase Matching for χ(3) Processes
Nonlinear Refractive Index
Nonlinear Refractive Index
Nonlinear Absorption
Calculations of Nonlinear Index
Self-Phase Modulation
z Scan
Optical Bistability
Raman and Brillouin Processes
Spontaneous Raman Scattering
Stimulated Raman Scattering
Anti-Stokes Raman Scattering
Raman Microscopy
Photo-acoustic Interactions
Stimulated Brillouin Scattering
Ultrafast Nonlinear Effects
Saturable Absorption
Temporal Solitons
Spatial Solitons
High Harmonic Generation
Ultrashort-Pulse Measurement
Appendix
Gaussian Beams
Sellmeier Equations for Selected χ(2) Crystals
Properties of Selected χ(2) Crystals
References for Selected χ(2) Crystals Tables
Equation Summary
Bibliography
Index

Preface

This Field Guide is designed for those looking for a condensed and concise source of key concepts, equations, and techniques for nonlinear optics. Topics covered include technologically important effects, recent developments in nonlinear optics, and linear optical properties central to nonlinear phenomena. The focus of each section is based on my research as well as my interactions with colleagues in the field and my experiences teaching nonlinear optics.

Examples throughout this Field Guide illustrate fundamental concepts while demonstrating the application of key equations. Equations are presented without proof or derivation, however, the interested reader may refer to the bibliography for a list of resources that go into greater detail. In addition to the overview of nonlinear phenomena, this Field Guide includes an appendix of material properties for some of the most commonly used nonlinear crystals.

This Field Guide features notations commonly encountered in nonlinear optics literature. All equations are written in SI units for convenience when comparing calculations to laboratory measurements. The formalism of writing equations using complex variable notation introduces ambiguity in defining the electric field’s complex amplitude. Though one convention is used throughout this text, conventions and conversions are presented as part of the first topic. Equations in terms experimentally measured quantities such as power, intensity, and energy, have no ambiguity.

Peter E. Powers
University of Dayton
March 2013


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