●Preface to the First Edition
Preface to the Second Edition
Authors
1 Introduction
1.1 Historical Background
1.2 Unifying Themes
1.3 Overview of Nonlinear Effects Covered in This Book
1.4 Labeling Conventions and Terminology
1.5 Units
Problems
References
Further Reading
2 Linear Optics
2.1 Introduction
2.1.1 Linearity
2.1.2 Maxwel's Equations
2.1.3 Poynting's Theorem
2.1.4 Intensity
2.1.5 Linear Polarization
2.1.6 Complex Representation of Polarization
2.1.7 Energy Exchange between a Field and Polarization
2.2 Tensor Properties of Materials
2.2.1 Tensors
2.3 Wave Equation
2.3.1 Constitutive Relationships for Complex Amplitudes
2.3.2 Wave Equation in Homogeneous lsotropic Materials
2.3.3 Dispersion
2.3.4 Wave Equation in Crystals
2.3.5 Fresnel's Equation
2.3.6 o-Waves and e-Waves
2.3.7 Poynting Vector Walk-Off
2.4 Determining e-Waves and o-Waves in Crystals
2.4.1 Homogeneous Isotropic
2.4.2 Uniaxial Crystal
2.4.3 Biaxial Crystals
2.5 Index Elipsoid
2.6 Applications
2.6.1 Slowly Yaying EnvelopE Approximaion and Gausian Beam
2.6.2 Gaussian Beam Propagation Using the q-Parameter
2.6.3 M2 Propagation Factor
2.6.4 Example of Formatting a Beam for SHG
Problems
References
Further Reading
3 Introduction to the Nonlinear Susceptibility
3.1 Introduction
3.1.1 Nonlinear Polarization
3.1.2 Parametric Processes
3.2 Classical Origin of the Nonlinearity
3.2.1 One-Dimensional Linear Harmonic Oscillator
3.2.2 One-Dimensional Anharmonic Oscilator
3.2.3 Third-Order Effects in Centrosymmetric Media
3.3 Details of the Nonlinear Susceptibility,X (2)
3.3.1 Degeneracy and Subtleties of Squaring the Field
3.3.2 Tensor Properties of Susceptibility
3.3.3 Permuting the Electric Fields in the Nonlinear Polarization
3.3.4 Full Permutation Symmetry in Lossless Media
3.3.5 Kleinman's Symmetry
3.3.6 Contracting the Indices in x (2) ijk
3.3.7 Effective Nonlinearity and deff
3.3.8 Example Calculation of deff
3.4 Connection between Crystal Symmetry and the d-Matrix
3.4.1 Centrosymmetric Crystals
3.4.2 Example Calculation of d-Matrix for 3m Crystals
3.5 Electro-Optic Effect
3.5.1 EO Effects and the r-Matrix
3.5.2 Example Calculation of EO Effect in KH2DPO4
3.5.3 EO Wave Plates
3.5.4 EO Sampling: Terahertz Detection
3.5.5 Connection between d and r
Problems
References
Further Reading
4 Three-Wave Processes in the Small-Signal Regime
4.1 Introduction to the Wave Equation for Three Fields
4.1.1 Wave Equation for a Three-Wave Process
4.1.2 Slowly Varying Envelope Approximation Extended
……
5 Quasi-Phase Matching
6 Three-Wave Mixing beyond the Small-Signal Limit
7 x(2) Devices
8 x(3) Processes
9 Raman and Brillouin Scattering
10 Nonlinear Optics Including Diffraction and Dispersion
11 Quantum Nonlinear Optics
Appendix A: Complex Notation
Appendix B: Sellmeier Equations
Appendix C: Programming Techniques
Appendix D: Exact Solutions to the Coupled Amplitude Equations
Appendix E: Optical Fibers-Slowly Varying Envelope Equations
Index
《非線性光學基礎》是一部教學指南,也是一部理論和實踐結合的典範,面向不同的讀者,包括工程師、物理學家和化學家。隻要具備基本的電磁學知識,包括麥克斯韋方程和電磁波理論,都可以讀懂這本書。實驗室和商業器件對非線性光學的應用越來越廣泛,使得科研人員和工程人員都需要對潛在的物理原理和器件的實際應用有深入了解。本書囊括了非線性光學線性的方方面面,從二次諧波的產生到孤立子的形成,使讀者更易於理解和使用與非線性光學中許多現像有關的基本原理,並提供解決相關問題所必需的數學工具。本書為第2版。2014年本書的第一作者Peter Powers去世,使得非線性光學領域蒙受巨大損失,也使得這本書的第2版成為遺作。這部擴展版本的執行主筆Joseph W.Haus教授,也是第一版本教材的使用者,在盡量維護原書風格的基礎上做了大量的修訂,尤其是第2章,在麥克斯韋方程的處理方面做了必要的擴充,使得它的基礎性作等