Theoretical optics: an introduction
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Weinheim
Wiley-VCH-Verl.
2009
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| Edition: | 2., rev. and enl. ed. |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XVI, 372 S. Ill., graph. Darst. 25 cm |
| ISBN: | 9783527407767 |
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| adam_text |
Titel: Theoretical optics
Autor: Römer, Hartmann
Jahr: 2009
Contents
Preface to the second English edition IX
Preface to the first English edition XI
Preface to the German edition XIII
1 A Short Survey of the History of Optics 1
2 The Electrodynamics of Continuous Media 15
2.1 Maxwell's Equations 15
2.2 Molecular vs. Macroscopic Fields 18
2.3 A Simple Model for the Electric Current 20
2.4 Dispersion Relations and the Passivity Condition 23
2.5 Electric Displacement Density and Magnetic Field Strength 27
2.6 Index of Refraction and Coefficient of Absorption 33
2.7 The Electromagnetic Material Quantities 35
2.8 The Oscillator Model for the Electric Susceptibility 39
2.9 Material Equations in Moving Media 40
3 Linear Waves in Homogeneous Media 45
3.1 Elastic Waves in Solids 45
3.2 Isotropie Elastic Media 48
3.3 Wave Surfaces and Ray Surfaces 51
4 Crystal Optics 55
4.1 The Normal Ellipsoid 55
4.2 Plane Waves in Crystals 58
4.3 Optically Uniaxial Crystals 62
4.4 Optically Biaxial Crystals 65
4.5 Reflection and Refraction at Interfaces 67
4.6 Fresnel's Equations 69
4.7 The Fabry-Perot Interferometer 72
Theoretical Optics, Second Edition. Hartmann Römer
Copyright © 2009 Wilcy-VCH Verlag GmbH Co. KGaA, Weinheim
ISBN: 978-3-527-40776-7
V1 Contents
5 Electro-, Magneto-, and Elastooptical Phenomena 75
5.1 Polarization Effects up to First Order - Optical Activity 75
5.2 Polarization Effects of Higher Order 79
5.2.1 Dependence on Distortions 80
5.2.2 Dependence on Shear Flows 80
5.2.3 Influence of Electric Fields 80
5.2.4 Dependence on Magnetic Fields 81
6 Foundations of Nonlinear Optics 83
6.1 Nonlinear Polanzation - Combination Frequencies 83
6.2 Nonlmear Waves in a Medium 85
6.3 Survey of Phenomena in Nonlinear Optics 89
6.4 Parametric Amplification and Frequency Doubling 91
6.5 Phase Matching 94
6.6 Self-Focussing, Optical Bistability, Phase Self-Modulation 95
6.7 Phase Conjugation 98
6.8 Fiber Optics and Optical Solitons 101
7 Short-Wave Asymptotics 107
7.1 Introductory Remarks 107
7.2 Short-Wave Expansion of Maxwell's Equations 109
7.3 The Scalar Wave Equation 111
7.4 Phase Surfaces and Rays . ¦ 113
7.5 Fermat's Principle 115
7.6 Analogy Between Mechanics and Geometrical Optics 116
8 Geometrical Optics 121
8.1 Fermat's Principle and Focal Points 121
8.2 Perfect Optical Instruments 122
8.3 Maxwell's Fish-Eye 123
8.4 Canonical Transformations and Eikonal Functions 125
8.5 Imaging Points Close to the Optic Axis by Wide Spread Ray Bundles . 129
8.6 Linear Geometrical Optics and Symplectic Transformations 132
8.7 Gaussian Optics and Image Matrices 135
8.8 Lens Defects and Seidel's Theory of Aberrations 140
9 Geometrie Theory of Caustics 145
9.1 Short-Wave Asymptotics for Linear Partial Differential Equations 145
9.2 Solution of the Characteristic Equation 148
9.3 Solution of the Transport Equation 154
9.4 Focal Points and Caustics ¦ 157
9.5 Behavior of Phases in the Vicinity of Caustics 160
9.6 Caustics, Lagrangian Submanifolds, and Maslov Index 162
9.7 Supplementary Remarks on Geometrical Short-Wave Asymptotics 164
Contents VII
10 Diffraction Theory 171
10.1 Survey 171
10.2 The Principles of Huygens and Fresnel 171
10.3 The Method of Stationary Phases 175
10.4 Kirchhoff's Representation of the Wave Amplitude 179
10.5 Kirchhoff's Theory of Diffraction 183
10.6 Diffraction at an Edge 188
10.7 Examples of Fraunhofer Diffraction 190
10.7.1 Diffraction by a Rectangle 191
10.7.2 Diffraction by a Circular Aperture 192
10.7.3 Arrangements of Several Identical Structures 193
10.7.4 Random Distribution (Figure 10.15a) 194
10.7.5 Regulär Lattice (Figure 10.15b) 195
10.7.6 Two Circular Holes 195
10.8 Optical Image Processing in Fourier Space 196
10.8.1 The Dark-Ground Method 198
10.8.2 The Phase Contrast Method 199
10.8.3 The Schlieren Method 199
10.9 Morse Farmlies 199
10.10 Oscillatory Functions and Fourier Integral Operators 202
10.11 Path Integrals in Optics 206
11 Holography 215
11.1 The Principle of Holography 215
11.2 Modifications and Applications 217
11.2.1 Observing Small Object Deformations 218
11.2.2 Holographie Optical Instruments 218
11.2.3 Pattern Recognition 219
11.3 Volume Holograms 219
12 Coherence Theory 223
12.1 Coherent and Incoherent Light 223
12.2 Real and Analytical Signals 225
12.3 The Light Wave Field as a Stochastic Process 229
12.4 Gaussian Stochastic Processes 232
12.5 The Quasimonochromatic Approximation 234
12.6 Coherence and Correlation Functions 236
12.7 The Propagation of the Correlation Function 239
12.8 Amplitude and Intensity Interferometry 242
12.8.1 Amplitude Interferometry: Michelson Interferometer 242
12.8.2 Photon Correlation Spectroscopy 243
12.9 Dynamical Light Scattering 244
12.10 Granulation 247
12.11 Image Processing by Filtering 249
12.12 Polarization of Partially Coherent Light 251
VIII Contents
13 Quantum States of the Electromagnetic Field 255
13.1 Quantization of the Electromagnetic Field and Harmonie Oscillators . 255
13.2 Coherent and Squeezed States 261
13.3 Operators, Ordenng Procedures, and Star Products 269
13.4 The Q, P, and Wigner Functions of a Density Operator 276
14 Detection of Radiation Fields 283
14.1 Beam Splitters and Homodyne Detection 283
14.2 Correlation Functions and Quantum Coherence 289
14.3 Measurement of Correlation Functions 291
14.4 Antibunching and Sub-Poissonian Light 295
15 Interaction of Radiation and Matter 299
15.1 The Electric Dipole Interaction 299
15.2 Simple Laser Theory 304
15.3 Three-Level Systems and Atomic Interference 306
15.3.1 Electromagnetically Induced Transparency 309
15.3.2 Refractive Index Enhancement 311
15.3.3 Lasing Without Inversion 311
15.3.4 Correlated Emission Laser 311
15.4 The Jaynes—Cummings Model 312
15.5 The Micromaser 318
15.6 Quantum State Engineering 320
15.7 The Paul Trap 323
15.8 Motion of a Two-Level Atom in a Quantized Light Field 330
16 Quantum Optics and Fundamental Quantum Theory 333
16.1 Quantum Entanglement 333
16.2 Bell's Inequalities 338
16.3 Quantum Erasers and Measurement Without Interaction 342
16.4 No Cloning and Quantum Teleportation 347
16.5 Quantum Cryptography 352
16.6 Quantum Computation 353
Selected References 361
Index 365 |
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| title | Theoretical optics an introduction |
| title_auth | Theoretical optics an introduction |
| title_exact_search | Theoretical optics an introduction |
| title_full | Theoretical optics an introduction Hartmann Römer |
| title_fullStr | Theoretical optics an introduction Hartmann Römer |
| title_full_unstemmed | Theoretical optics an introduction Hartmann Römer |
| title_short | Theoretical optics |
| title_sort | theoretical optics an introduction |
| title_sub | an introduction |
| topic | Optik (DE-588)4043650-0 gnd Theoretische Physik (DE-588)4117202-4 gnd |
| topic_facet | Optik Theoretische Physik Lehrbuch |
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