Fundamentals of nonlinear optics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton, Fla. [u.a.]
CRC
2011
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 311 S. Ill., graph. Darst. |
| ISBN: | 9781420093513 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | Titel: Fundamentals of nonlinear optics
Autor: Powers, Peter E
Jahr: 2011
CONTENTS
Preface
Aulfior
xv
xvii
1 Introduction 1
1.1 Historical Background 1
1.2 Unifying Themes 2
1.3 Overview of Nonlinear Effects Covered in this Book 3
1.4 Label ing Conventions and Terminology 6
1.5 Units 7
References 7
2 Linear Optics 10
2.1 Introduction 10
2.1.1 Linearity 10
2.1.2 Maxwell s Equations 10
2.1.3 Poynting s Theorem 11
2.1.4 Intensity 13
2.1.5 Linear PolarizaHon 14
2.1.6 Complex Representation of Polarization 15
2.1.7 Energy Exchange between a Field and Polarization 16
2.2 Tensor Properties of Materials 17
2.2.1 Tensors 17
2.3 Wave Equation 19
2.3.1 CcmsHtuirveRebHonshipsforConplexAmrilituoes 20
2.3.2 Wave Equation in Hornogeneous Isotropie Materials 20
2.3.3 Dispersion 22
2.3.4 Wave Equation in Crystals 23
2.3.5 Fresnel s Equation 25
2.3.6 o- and e-Waves 26
2.3.7 PovnfingVectorWalk-Off 27
2.4 Determining e-Waves and a-Waves in Crystals 29
2.4.1 Hornogeneous Isotropie 29
2.4.2 UntaxiafCrystal 29
2.4.3 Biaxial Crystals 30
2.5 Index Ölipsoid 31
Contents
2.6 Applications 32
2.6.1 Gaussian Beams 32
2.6.2 Gaussian Beam Propagation Using the q-Parameter 33
2.6.3 A42 Propagation Factor 36
2.6.4 Example of Formatting a Beam for SHG 37
Problems 39
References 44
Further Reading 44
3 Introduction to the Nonlinear Susceptibility 45
3.1 Introduction 45
3.1.1 Nonlinear Polarization 45
3.1.2 Parametric Processes 46
3.2 Classical Origin of the Nonlinearity 49
3.2.1 One-Dimensional Linear Harmonie Osciilator 49
3.2.2 Anharmonic Osciilator 50
3.2.3 Third-Order Effects in Centrosymmetric Media 53
3.3 Details of the Nonlinear Susceptibility, x 2 54
3.3.1 Degeneracy and Subtleries of Squaring the Field 55
3.3.2 Tensor Properties of Susceptibility 55
3.3.3 Permuting the Electric Fields in the Nonlinear Polarization 56
3.3.4 Füll Permutafion Symmetry in Lossless Media 56
3.3.5 Kleinman s Symmetry 57
3.3.6 Contracting the Indices in y}.J ^
3.3.7 Effective Nonlinearity and d^ 61
3.3.8 Example Calculafion of d^ 61
3.4 Connedion Between Crystal Symmetry and the d-Mafrix 66
3.4.1 Centrosymmetric Crystals 67
3.4.2 Example Calculation of d-Matrix for 3m Crystals 68
3.5 Electro-Optic Effect 70
3.5.1 EO Effects and the r-Matrix 71
3.5.2 Example Calculation of EO Effect in KDP 72
3.5.3 EO Wave Pleites 74
3.5.4 EO Sampling: Terahertz Detecrion 74
3.5.5 Connedion between d and r 78
Problems 80
References 84
Furlrter Reading 85
4 Three-Wave Processes in the Smali-Signal Regime 86
4.1 Introduction to the Wave Equation for Three Fields 86
4.1.1 Wave Equation for a Three-Wave Process 86
4.1.2 Slowry Varying Envebpe Approximation 88
4.1.3 Introduction to Phase Matdiing 90
4.1.4 First Solution to hSe Coupled Amplitude Equations 91
4.1.5 t-VectorPicture 94
Contents xi
4.2 Birefringent Phase Matching 94
4.2.1 Birefringent Phase-Matching Types 94
4.2.2 Example: Phase-Matching Problem 97
4.2.3 Phase-Matching SHG 99
4.3 Tuning Curves and Phase-Matching Tolerances 99
4.3.1 Phase-Matching Bandwidth and Angular Acceptance 1 Ol
4.4 Taylor Series Expansion Techniques for Determining Bandwidth 104
4.4.1 Temperature Bandwidth 105
4.4.2 Phase-Matching Bandwidth and Acceptance Bandwidth 106
4.4.3 Angular Acceptance and Noncritical Phase Matching 107
4.5 Noncollinear Phase Matching 108
Problems 111
Reference 116
Furrher Reading 116
Quasi-Phase Matching 118
5.1 Introduction to Quasi-Phase Matching 118
5.2 Linear and Nonlinear Material Considerations 118
5.3 QPM with Periodic Structures 120
5.4 QPM Calculation: An Example 123
5.5 Fourier Transform Treatment of QPM 123
5.6 Tolerances 126
5.7 Fabricating Quasi-Phase-Mafched Structures 128
Problems 130
Reference 133
Further Reading 134
Three-Wave Mixing beyond the Small-Signal Limit 135
6.1 Introduction 135
6.2 DFG with a Single Strang Pump 135
6.2.1 Defining Equations for the Undepfeted Pump Approximation 135
6.2.2 Solution for Difference-Frequency Output 136
6.2.3 Solution with Specific Boundary Conditions 137
6.3 DFG with Streng Pump and Loss 139
6.4 Solutions for All Three Coupled Amplitude Equations 142
6.4.1 Manley-Rowe Relations 142
6.4.2 Analyfic Solution for Three Plane Waves 144
6.5 Sponfaneous Parametric Scatlerirtg (Oprical Parametric Generarionj 146
Problems 150
References 151
Further Reading 152
X^2 Devices 153
7.1 Introduction 153
7.2 Optimizing Device Performance: Focusing 153
7.2.1 Overfap of Gaussian Beams with Nonlinear Polarization 154
xii Contents
7.2.2 Parametric Interactions with Focused Gaussian Beams 155
7.2.3 Optimizing Gaussian Beam Interactions 157
7.3 Resonator Devices 159
7.3.1 ResonantSHG 159
7.3.2 Optical Parametric Osciilator 160
7.3.3 OPO with Gaussian Beams 164
7.3.4 Doubr/ResonantOPOs 165
7.3.5 Singly Resonant OPO 168
7.3.6 Cavity Design 169
7.3.7 Putsed OPOs 171
7.3.8 Baclcward-Optical Parametric Osciilator 173
Problems 175
References 177
Further Reading 178
8 x{3) Processes 179
8.1 Introduction 179
8.2 Nonlinear Polarization for x^3 Processes 179
8.2.1 Defining Rekrtionships 179
8.2.2 Permutation Symmetries for x 182
8.2.3 Symmetry Considerations for Centrosymmetric Media 182
8.3 Wave Equation for x 3 Interactions 184
8.3.1 Four Distinct Frequencies 184
8.3.2 Manley-Rowe Relations 186
8.4 Self-Induced Effects 187
8.4.1 Nonfinear Index of Refraction 187
8.4.2 Nonlinear Absorption 189
8.4.3 Cross-Phase Shifts 190
8.4.4 Self-Focusing 190
8.4.5 Optical Bistability 192
8.5 Parametric Amplifiers 195
8.5.1 Introduction 195
8.5.2 Two Undepleted Inputs 196
8.5.3 One Undepleted Inpuf 198
8.5.4 Pump Depletion 199
8.6 Noncollinear Processes 200
8.7 Degenerate Four-Wave Mixing 201
8.7.1 IntrciducHon 201
8.7.2 Pump Phase Shifts 202
8.7.3 Probe and Sigrid Fields 203
8.7.4 Optical Phase Conjugation 205
8.8 Z-Scan 206
8.8.1 Introduction 206
8.8.2 Measuring the Nonlinear Index of Refraction 207
8.8.3 Nonfinear Absorption 211
Problems 213
Reference 216
Further Reading 216
Contents xü
9 Raman and Brillouin Scatfering
9.1
9.2
9.3
Introduction
Spontaneous Raman Scattering
9.2.1 Classical Model of Spontaneous Raman Scattering
9.2.2 Raman Scattering Cross Section
9.2.3 Raman Microscope
Stimulaied Raman Scattering
9.3.1 Introduction
9.3.2 Classical Calculation for Inducing a Molecular Vibration
9.3.3 Nonlinear Polarization for a Stimulafed Raman Process
9.3.4 Wave Equation for Sfokes Field
9.3.5 Amplification of Sfokes Field CM Resonance
9.3.6 Stokes Amplification with a Depfeted 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 Stimulafed Brillouin Scattering
9.7.3 Nonlinear Polarization for Stimulaied Brillouin Scattering
9.7.4 Coupled Intensify Equations and Solutions for Stimulafed Brillouin
Scattering
Brillouin with Unear Absorption
Mifigating Brillouin Effects
9.7.5
9.7.6
Problems
References
10
Nonlinear Optics Including Diffraction and Dispersion
10.1 Introduction
10.2 Spatial Effects
10.2.1 Diffraction and Poynting Vector Walk-Off
10.2.2 Splir-Step Teefinique
10.2.3 Linear Propagation: Beam Propagation Method
10.2.4 Nonlinear Propagation for Three-Wave Mtxing
10.3 Temporal Effects
10.3.1 Time-Dependent FieU 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 Solutions to the Nonlinear Envelope Equation
10.4.1 SeJf-Phase Modulation
10.4.2 Numerical Solutions with Pulses
10.4.2.1 Dispersion Step
10.4.2.2 Nonlinear Step
217
217
217
218
219
222
223
223
223
225
227
228
228
231
231
234
235
237
238
241
241
242
244
245
247
248
249
251
252
252
252
253
255
257
259
260
260
261
263
264
267
267
269
270
271
xiv Contents
10.4.3 Nonlinear Schrodinger Equation 272
10.4.4 Spatial Solitons 274
Problems 275
276
Appendix A Complex Notation 277
A.l Rectangular Form 277
A.2 Euier s Formula 278
A3 Polar Form 279
A.4 Complex Amplitudes 279
Appendix B Sellmeier Equations 280
B.l ß-BaB204, BBO 280
B.2 LiTa03, Lithium Tantalate (Congruent) 280
B.3 LiNb03, Lithium Niobate (Congruent) 281
B.4 UB3O5 Lithium Triborate (LBO) 281
B.5 KT1OPO4, KJP 282
B.6 Zinc Germanium Phosphide (ZGP) 282
B.7 Gallium Arsenide (GaAsj 282
B.8 Schott GfassSFlO 283
B.9 Fused Silica 283
References 283
Appendix C Programming Techniques 285
C.l Programming Ak 285
C.2 Root Finding by Bisection 286
C.3 Runge-Kutta Approach to Integrating Coupted Differential Equations 287
Furfher Reading 288
Appendix D Exact Solutions to the Coupled Amplitude Equations 289
Reference 294
Index 295
|
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| title | Fundamentals of nonlinear optics |
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| title_full | Fundamentals of nonlinear optics Peter E. Powers |
| title_fullStr | Fundamentals of nonlinear optics Peter E. Powers |
| title_full_unstemmed | Fundamentals of nonlinear optics Peter E. Powers |
| title_short | Fundamentals of nonlinear optics |
| title_sort | fundamentals of nonlinear optics |
| topic | Nichtlineare Optik (DE-588)4042096-6 gnd |
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