Fundamentals of Nonlinear Optics 2nd Edition By Peter Powers, Joseph Haus – Ebook PDF Instant Download/Delivery: 0367874117, 9780367874117
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Product details:
ISBN 10: 0367874117
ISBN 13: 9780367874117
Author: Peter Powers, Joseph Haus
Praise for the 1st Edition:
“well written and up to date…. The problem sets at the end of each chapter reinforce and enhance the material presented, and may give students confidence in handling real-world problems.” ―Optics & Photonics News
“rigorous but simple description of a difficult field keeps the reader’s attention throughout…. serves perfectly for an introductory-level course.” ―Physics Today
This fully revised introduction enables the reader to understand and use the basic principles related to many phenomena in nonlinear optics and provides the mathematical tools necessary to solve application-relevant problems. The book is a pedagogical guide aimed at a diverse audience including engineers, physicists, and chemists who want a tiered approach to understanding nonlinear optics. The material is augmented by numerous problems, with many requiring the reader to perform real-world calculations for a range of fields, from optical communications to remote sensing and quantum information. Analytical solutions of equations are covered in detail and numerical approaches to solving problems are explained and demonstrated. The second edition expands the earlier treatment and includes:
- A new chapter on quantum nonlinear optics.
- Thorough treatment of parametric optical processes covering birefringence, tolerances and beam optimization to design and build high conversion efficiency devices.
- Treatment of numerical methods to solving sets of complex nonlinear equations.
- Many problems in each chapter to challenge reader comprehension.
- Extended treatment of four-wave mixing and solitons.
- Coverage of ultrafast pulse propagation including walk-off effects.
Fundamentals of Nonlinear Optics 2nd Table of contents:
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 Maxwell’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 Isotropic 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 Ellipsoid
2.6 Applications
2.6.1 Slowly Varying Envelope Approximation and Gaussian Beams
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 Oscillator
3.2.3 Third-Order Effects in Centrosymmetric Media
3.3 Details of the Nonlinear Susceptibility, χ(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 χ(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
4.1.3 Introduction to Phase Matching
4.1.4 First Solution to the Coupled Amplitude Equations
4.1.5 k-Vector Picture
4.2 Birefringent Phase Matching
4.2.1 Birefringent Phase-Matching Types
4.2.2 Example: Phase-Matching Problem
4.2.3 Phase-Matching SHG
4.3 Tuning Curves and Phase-Matching Tolerances
4.3.1 Phase-Matching Bandwidth and Angular Acceptance
4.4 Taylor Series Expansion Techniques for Determining Bandwidth
4.4.1 Temperature Bandwidth
4.4.2 Phase-Matching Bandwidth and Acceptance Bandwidth
4.4.3 Angular Acceptance and Noncritical Phase Matching
4.5 Noncollinear Phase Matching
4.5.1 Off-Axis Propagation SVEA Equations
4.5.2 Noncollinear Application
Problems
Reference
Further Reading
5. Quasi-Phase Matching
5.1 Introduction to Quasi-Phase Matching
5.2 Linear and Nonlinear Material Considerations
5.3 QPM with Periodic Structures
5.4 QPM Calculation: An Example
5.5 Fourier Transform Treatment of QPM
5.6 Tolerances
5.7 Fabricating Quasi-Phase-Matched Structures
Problems
Reference
Further Reading
6. Three-Wave Mixing beyond the Small-Signal Limit
6.1 Introduction
6.2 DFG with a Single Strong Pump
6.2.1 Defining Equations for the Undepleted Pump Approximation
6.2.2 Solution for Difference-Frequency Output
6.2.3 Solution with Specific Boundary Conditions
6.3 DFG with Strong Pump and Loss
6.4 Solutions for All Three Coupled Amplitude Equations
6.4.1 Manley–Rowe Relations
6.4.2 Analytic Solution for Three Plane Waves
6.5 Spontaneous Parametric Scattering (Optical Parametric Generation)
Problems
References
Further Reading
7. χ(2) Devices
7.1 Introduction
7.2 Optimizing Device Performance: Focusing
7.2.1 Overlap of Gaussian Beams with Nonlinear Polarization
7.2.2 Parametric Interactions with Focused Gaussian Beams
7.2.3 Optimizing Gaussian Beam Interactions
7.3 Resonator Devices
7.3.1 Resonant SHG
7.3.2 Optical Parametric Oscillator
7.3.3 OPO with Gaussian Beams
7.3.4 Doubly Resonant OPOs
7.3.5 Singly Resonant OPOs
7.3.6 Cavity Design
7.3.7 Pulsed OPOs
7.3.8 Backward OPOs
Problems
References
Further Reading
8. χ(3) Processes
8.1 Introduction
8.2 Nonlinear Polarization for χ(3) Processes
8.2.1 Defining Relationships
8.2.2 Permutation Symmetries for χ(3)
8.2.3 Symmetry Considerations for Centrosymmetric Media
8.3 Wave Equation for χ(3) Interactions
8.3.1 Four Distinct Frequencies
8.3.2 Manley–Rowe Relations
8.4 Self-Induced Effects
8.4.1 Nonlinear Index of Refraction
8.4.2 Nonlinear Absorption
8.4.3 Cross-Phase Shifts
8.4.4 Self-Focusing
8.4.5 Optical Bistability
8.5 Parametric Amplifiers
8.5.1 Introduction
8.5.2 Two Undepleted Inputs
8.5.3 One Undepleted Input
8.5.4 Pump Depletion
8.6 Noncollinear Processes
8.7 Degenerate Four-Wave Mixing
8.7.1 Introduction
8.7.2 Pump Phase Shifts
8.7.3 Probe and Signal Fields
8.7.4 Optical-Phase Conjugation
8.8 z-SCAN
8.8.1 Introduction
8.8.2 Measuring the Nonlinear Index of Refraction
8.8.3 Nonlinear Absorption
Problems
Reference
Further Reading
9. Raman and Brillouin Scattering
9.1 Introduction
9.2 Spontaneous Raman Scattering
9.2.1 Classical Model of Spontaneous Raman Scattering
9.2.2 Raman Scattering Cross Section
9.2.3 Raman Microscope
9.3 Stimulated Raman Scattering
9.3.1 Introduction
9.3.2 Classical Calculation for Inducing a Molecular Vibration
9.3.3 Nonlinear Polarization for a Stimulated Raman Process
9.3.4 Wave Equation for the Stokes Field
9.3.5 Amplification of the Stokes Field Off Resonance
9.3.6 Stokes Amplification with a Depleted Pump
9.4 Anti-Stokes Generation
9.4.1 Classical Derivation of the Anti-Stokes Nonlinear Polarization
9.4.2 Wave Equation for Stokes and Anti-Stokes in the Undepleted Pump Approximation
9.4.3 Stokes and Anti-Stokes Generation with Pump Depletion
9.5 Raman Amplifiers
9.6 Photoacoustic Effects: Raman-Nath Diffraction
9.7 Brillouin Scattering
9.7.1 Spontaneous Brillouin Scattering
9.7.2 Classical Model for the Stimulated Brillouin Scattering
9.7.3 Nonlinear Polarization for the Stimulated Brillouin Scattering
9.7.4 Coupled Intensity Equations and Solutions for the Stimulated Brillouin Scattering
9.7.5 Brillouin with Linear Absorption
9.7.6 Mitigating Brillouin Effects
Problems
References
10. Nonlinear Optics Including Diffraction and Dispersion
10.1 Introduction
10.2 Spatial Effects
10.2.1 Diffraction and the Poynting Vector Walk-Off
10.2.2 Split-Step Technique
10.2.3 Linear Propagation: Beam Propagation Method
10.2.4 Nonlinear Propagation for Three-Wave Mixing
10.3 Temporal Effects
10.3.1 Time-Dependent Field Definitions
10.3.2 Time-Dependent Linear Polarization
10.3.3 Time-Dependent Nonlinear Polarization
10.3.4 Wave Equation for Fields with a Time-Dependent Envelope
10.4 Dynamical Solutions to the Nonlinear Envelope Equation
10.4.1 Self-Phase Modulation
10.4.2 Numerical Solutions with Pulses
10.4.2.1 Dispersion Step
10.4.2.2 Nonlinear Step
10.4.3 Nonlinear Schrodinger Equation
10.4.4 Modulation Instability
10.4.5 Fundamental Soliton Solution
10.4.6 Spatial Solitons
10.4.7 Dark and Gray Solitons
10.5 Dynamical Stimulated Raman Scattering
10.5.1 Dynamical SRS Equations Solution
Problems
References
Further Reading
11. Quantum Nonlinear Optics
11.1 Introduction
11.2 Quantizing Equations of Motion
11.2.1 Classical to Quantum Equations of Motion
11.2.2 Heisenberg Uncertainty Relations
11.3 Electromagnetic Field
11.3.1 Coherent State Representation
11.3.2 Electromagnetic Wave Function
11.3.3 Electromagnetic Signals
11.4 Quantum Amplifiers and Attenuators
11.4.1 Quantum Attenuator Model
11.4.2 Quantum Amplifier Model
11.4.3 Quantum Initiation: Optical Parametric Generator
11.4.4 Schrödinger’s Cat States
11.5 Quantum Detection
11.5.1 Direct Detection
11.5.2 Coherent Detection
11.5.2.1 Beam Splitter
11.5.2.2 Coherent Detection Signal to Noise
11.5.2.3 Balanced Homodyne Detection
11.6 Quantum Squeezed Light
11.6.1 Single-Mode Squeezed States
11.6.2 Squeezed Light Experiments
11.7 Multimode Quantum States
11.7.1 Entangled Quantum States
11.7.2 Entanglement via SPDC
11.7.2.1 Type I Phase Matching
11.7.2.2 Type II Phase Matching
11.7.3 Two-Mode Parametric Squeezing
11.7.4 Quantum Optical Phase Conjugation
11.7.5 HOM Interferometer
Problems
References
Books
Selected Articles
Amplifiers and Attenuators
Squeezed Light
EPR and Tests of Quantum Mechanics
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
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Tags: Peter Powers, Joseph Haus, Nonlinear Optics