Theoretical Optics
Blackwell Verlag GmbH (Hersteller)
978-3-527-60429-6 (ISBN)
- Titel ist leider vergriffen;
keine Neuauflage - Artikel merken
Starting from basic electrodynamics, this volume provides a solid, yet concise introduction to theoretical optics, containing topics such as nonlinear optics, light-matter interaction, and modern topics in quantum optics, including entanglement, cryptography, and quantum computation.
The author, with many years of experience in teaching and research, goes way beyond the scope of traditional lectures, enabling readers to keep up with the current state of knowledge. Both content and presentation make it essential reading for graduate and phD students as well as a valuable reference for researchers.
Hartmann Römer was born in Wuppertal, Germany, in 1943. In 1970 he received his doctorate from the University of Bonn, where he also completed his habilitation. He held Postdoc positions at the Weizmann Institute of Science and at CERN in Geneva. He has been full professor for Theoretical Physics in Freiburg since 1979. His research interests include particle theory and quantum field theory, in particular geometrical and topological methods: symplectic geometry, quantization theory, classical limit and short wave asymptotics.
Preface to the German edition IX
Preface to the English 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 Molecularvs.macroscopicfields 18
2.3 Asimplemodel 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 Indexof refraction andcoefficientof absorption 33
2.7 The electromagnetic material quantities 35
2.8 The oscillator model for the electric susceptibility 39
2.9 Material equations inmovingmedia 40
3 Linear waves in homogeneous media 45
3.1 Elasticwaves in solids 45
3.2 Isotropic elasticmedia 48
3.3 Wave surfaces and ray surfaces 51
4 Crystal optics 55
4.1 The normal ellipsoid 55
4.2 Planewaves in crystals 58
4.3 Opticallyuniaxial crystals 62
4.4 Opticallybiaxial crystals 65
4.5 Reflection and refraction at interfaces 66
4.6 Fresnel's equations 69
4.7 TheFabry–Perot interferometer 72
5 Electro-, magneto- and elastooptical phenomena 75
5.1 Polarization effects up to first order – optical activity 75
5.2 Polarization effectsof higherorder 79
5.2.1 Dependenceon distortions 80
5.2.2 Dependenceon shearflows 80
5.2.3 Influence of electricfields 80
5.2.4 Dependenceonmagneticfields 81
6 Foundations of nonlinear optics 83
6.1 Nonlinear polarization – combination frequencies 83
6.2 Nonlinearwaves in amedium 85
6.3 Surveyof phenomena innonlinear optics 89
6.4 Parametric amplification and frequency doubling 91
6.5 Phasematching 93
6.6 Self-focussing, optical bistability, phase self-modulation 95
6.7 Phase conjugation 98
6.8 Fiber optics andoptical 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 scalarwave 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 focalpoints 121
8.2 Perfect optical instruments 122
8.3 Maxwell'sfish-eye 123
8.4 Canonical transformations and eikonal functions 125
8.5 Imaging points close to the optic axis by wide spread ray bundles 128
8.6 Linear geometrical optics and symplectic transformations 131
8.7 Gaussianoptics and imagematrices 134
8.8 Lensdefects andSeidel's theoryof aberrations 139
9 Geometric theory of caustics 143
9.1 Short-wave asymptotics for linear partial differential equations 143
9.2 Solution of the characteristic equation 146
9.3 Solution of the transport equation 151
9.4 Focalpoints and caustics 153
9.5 Behaviorof phases inthe vicinity of caustics 156
9.6 Caustics, Lagrangian submanifolds and Maslov index 158
9.7 Supplementary remarks on geometrical short-wave asymptotics 161
10 Diffraction theory 167
10.1 Survey 167
10.2 The principles of Huygens and Fresnel 167
10.3 The method of stationary phases 171
10.4 Kirchhoff's representation of the wave amplitude 175
10.5 Kirchhoff's theory of diffraction 179
10.6 Diffraction at an edge 184
10.7 Examples of Fraunhofer diffraction 186
10.7.1 Diffraction by a rectangle 187
10.7.2 Diffraction by a circular aperture 188
10.7.3 Arrangements of several identical structures 189
10.8 Optical image processinginFourier space 191
10.9 Morse families 195
10.10 Oscillatory functions and Fourier integral operators 198
11 Holography 203
11.1 The principleof holography 203
11.2 Modifications andapplications 205
11.2.1 Observing small object deformations 206
11.2.2 Holographic optical instruments 206
11.2.3 Pattern recognition 207
11.3 Volumeholograms 207
12 Coherence theory 211
12.1 Coherent and incoherent light 211
12.2 Real andanalytical signals 213
12.3 The lightwavefield as a stochasticprocess 217
12.4 Gaussianstochasticprocesses 220
12.5 The quasi-monochromatic approximation 222
12.6 Coherence and correlationfunctions 224
12.7 The propagation of the correlation function 227
12.8 Amplitude andintensity interferometry 230
12.8.1 Amplitude interferometry: Michelson interferometer 230
12.8.2 Photon correlation spectroscopy 231
12.9 Dynamical light scattering 232
12.10 Granulation 236
12.11 Imageprocessingbyfiltering 237
12.12 Polarization of partially coherent light 239
13 Quantum states of the electromagnetic field 245
13.1 Quantization of the electromagnetic field and harmonic oscillators 245
13.2 Coherent and squeezed states 251
13.3 Operators, ordering procedures and star products 259
13.4 The Q, P, and Wigner functions of a density operator 266
14 Detection of radiation fields 273
14.1 Beam splitters and homodyne detection 273
14.2 Correlation functions and quantum coherence 279
14.3 Measurementof correlation functions 281
14.4 Anti-bunching and sub-Poissonian light 285
15 Interaction of radiation and matter 289
15.1 The electricdipole interaction 289
15.2 Simple laser theory 294
15.3 Three-level systems and atomic interference 296
15.3.1 Electromagnetically induced transparency 299
15.3.2 Refractive indexenhancement 301
15.3.3 Lasing without inversion 301
15.3.4 Correlated emissionlaser 301
15.4 The Jaynes–Cummingsmodel 302
15.5 Themicromaser 308
15.6 Quantumstate engineering 310
15.7 ThePaul trap 313
15.8 Motion of a two-level atom in a quantized light field 320
16 Quantum optics and fundamental quantum theory 323
16.1 Quantumentanglement 323
16.2 Bell's inequalities 328
16.3 Quantum erasers and measurement without interaction 332
16.4 No cloning and quantum teleportation 337
16.5 Quantum cryptography 342
16.6 Quantumcomputation 343
Selected references 351
Index 355
| Erscheint lt. Verlag | 26.7.2005 |
|---|---|
| Verlagsort | Berlin |
| Sprache | englisch |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Optik |
| ISBN-10 | 3-527-60429-4 / 3527604294 |
| ISBN-13 | 978-3-527-60429-6 / 9783527604296 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
