http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png
Fundamentals of Nonlinear Optics, Second Edition
Powers, P. E. ; Haus, J. W.
2017
CRC Press
Milton
ISBN: 9781498736862, 1498736866
Milton : CRC Press : 2, 480 S (2017)2017
Abstract: 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
Keyword(s): Nonlinear optics
Content:
- Cover.- Half Title.- Title Page.- Copyright Page.- Dedication.- Contents.- 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 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,-
- ?(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 ?(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.-
- ?(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.-
- ?(3) Processes.- 8.1 Introduction.- 8.2 Nonlinear Polarization for ?(3) Processes.- 8.2.1 Defining Relationships.- 8.2.2 Permutation Symmetries for ?(3).- 8.2.3 Symmetry Considerations for Centrosymmetric Media.- 8.3 Wave Equation for ?(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
guest ::
