Details

<p>Preface to the German edition IX</p> <p>Preface to the English edition XIII</p> <p><b>1 A short survey of the history of optics 1</b></p> <p><b>2 The electrodynamics of continuous media 15</b></p> <p>2.1 Maxwell's equations 15</p> <p>2.2 Molecularvs.macroscopicfields 18</p> <p>2.3 Asimplemodel for the electric current 20</p> <p>2.4 Dispersion relations and the passivity condition 23</p> <p>2.5 Electric displacement density and magnetic field strength 27</p> <p>2.6 Indexof refraction andcoefficientof absorption 33</p> <p>2.7 The electromagnetic material quantities 35</p> <p>2.8 The oscillator model for the electric susceptibility 39</p> <p>2.9 Material equations inmovingmedia 40</p> <p><b>3 Linear waves in homogeneous media 45</b></p> <p>3.1 Elasticwaves in solids 45</p> <p>3.2 Isotropic elasticmedia 48</p> <p>3.3 Wave surfaces and ray surfaces 51</p> <p>4 Crystal optics 55</p> <p>4.1 The normal ellipsoid 55</p> <p>4.2 Planewaves in crystals 58</p> <p>4.3 Opticallyuniaxial crystals 62</p> <p>4.4 Opticallybiaxial crystals 65</p> <p>4.5 Reflection and refraction at interfaces 66</p> <p>4.6 Fresnel's equations 69</p> <p>4.7 TheFabry–Perot interferometer 72</p> <p><b>5 Electro-, magneto- and elastooptical phenomena 75</b></p> <p>5.1 Polarization effects up to first order – optical activity 75</p> <p>5.2 Polarization effectsof higherorder 79</p> <p>5.2.1 Dependenceon distortions 80</p> <p>5.2.2 Dependenceon shearflows 80</p> <p>5.2.3 Influence of electricfields 80</p> <p>5.2.4 Dependenceonmagneticfields 81</p> <p><b>6 Foundations of nonlinear optics 83</b></p> <p>6.1 Nonlinear polarization – combination frequencies 83</p> <p>6.2 Nonlinearwaves in amedium 85</p> <p>6.3 Surveyof phenomena innonlinear optics 89</p> <p>6.4 Parametric amplification and frequency doubling 91</p> <p>6.5 Phasematching 93</p> <p>6.6 Self-focussing, optical bistability, phase self-modulation 95</p> <p>6.7 Phase conjugation 98</p> <p>6.8 Fiber optics andoptical solitons 101</p> <p><b>7 Short-wave asymptotics 107</b></p> <p>7.1 Introductory remarks 107</p> <p>7.2 Short-wave expansion of Maxwell's equations 109</p> <p>7.3 The scalarwave equation 111</p> <p>7.4 Phase surfaces and rays 113</p> <p>7.5 Fermat's principle 115</p> <p>7.6 Analogy between mechanics and geometrical optics 116</p> <p><b>8 Geometrical optics 121</b></p> <p>8.1 Fermat's principle and focalpoints 121</p> <p>8.2 Perfect optical instruments 122</p> <p>8.3 Maxwell'sfish-eye 123</p> <p>8.4 Canonical transformations and eikonal functions 125</p> <p>8.5 Imaging points close to the optic axis by wide spread ray bundles 128</p> <p>8.6 Linear geometrical optics and symplectic transformations 131</p> <p>8.7 Gaussianoptics and imagematrices 134</p> <p>8.8 Lensdefects andSeidel's theoryof aberrations 139</p> <p><b>9 Geometric theory of caustics 143</b></p> <p>9.1 Short-wave asymptotics for linear partial differential equations 143</p> <p>9.2 Solution of the characteristic equation 146</p> <p>9.3 Solution of the transport equation 151</p> <p>9.4 Focalpoints and caustics 153</p> <p>9.5 Behaviorof phases inthe vicinity of caustics 156</p> <p>9.6 Caustics, Lagrangian submanifolds and Maslov index 158</p> <p>9.7 Supplementary remarks on geometrical short-wave asymptotics 161</p> <p><b>10 Diffraction theory 167</b></p> <p>10.1 Survey 167</p> <p>10.2 The principles of Huygens and Fresnel 167</p> <p>10.3 The method of stationary phases 171</p> <p>10.4 Kirchhoff's representation of the wave amplitude 175</p> <p>10.5 Kirchhoff's theory of diffraction 179</p> <p>10.6 Diffraction at an edge 184</p> <p>10.7 Examples of Fraunhofer diffraction 186</p> <p>10.7.1 Diffraction by a rectangle 187</p> <p>10.7.2 Diffraction by a circular aperture 188</p> <p>10.7.3 Arrangements of several identical structures 189</p> <p>10.8 Optical image processinginFourier space 191</p> <p>10.9 Morse families 195</p> <p>10.10 Oscillatory functions and Fourier integral operators 198</p> <p><b>11 Holography 203</b></p> <p>11.1 The principleof holography 203</p> <p>11.2 Modifications andapplications 205</p> <p>11.2.1 Observing small object deformations 206</p> <p>11.2.2 Holographic optical instruments 206</p> <p>11.2.3 Pattern recognition 207</p> <p>11.3 Volumeholograms 207</p> <p><b>12 Coherence theory 211</b></p> <p>12.1 Coherent and incoherent light 211</p> <p>12.2 Real andanalytical signals 213</p> <p>12.3 The lightwavefield as a stochasticprocess 217</p> <p>12.4 Gaussianstochasticprocesses 220</p> <p>12.5 The quasi-monochromatic approximation 222</p> <p>12.6 Coherence and correlationfunctions 224</p> <p>12.7 The propagation of the correlation function 227</p> <p>12.8 Amplitude andintensity interferometry 230</p> <p>12.8.1 Amplitude interferometry: Michelson interferometer 230</p> <p>12.8.2 Photon correlation spectroscopy 231</p> <p>12.9 Dynamical light scattering 232</p> <p>12.10 Granulation 236</p> <p>12.11 Imageprocessingbyfiltering 237</p> <p>12.12 Polarization of partially coherent light 239</p> <p><b>13 Quantum states of the electromagnetic field 245</b></p> <p>13.1 Quantization of the electromagnetic field and harmonic oscillators 245</p> <p>13.2 Coherent and squeezed states 251</p> <p>13.3 Operators, ordering procedures and star products 259</p> <p>13.4 The Q, P, and Wigner functions of a density operator 266</p> <p><b>14 Detection of radiation fields 273</b></p> <p>14.1 Beam splitters and homodyne detection 273</p> <p>14.2 Correlation functions and quantum coherence 279</p> <p>14.3 Measurementof correlation functions 281</p> <p>14.4 Anti-bunching and sub-Poissonian light 285</p> <p><b>15 Interaction of radiation and matter 289</b></p> <p>15.1 The electricdipole interaction 289</p> <p>15.2 Simple laser theory 294</p> <p>15.3 Three-level systems and atomic interference 296</p> <p>15.3.1 Electromagnetically induced transparency 299</p> <p>15.3.2 Refractive indexenhancement 301</p> <p>15.3.3 Lasing without inversion 301</p> <p>15.3.4 Correlated emissionlaser 301</p> <p>15.4 The Jaynes–Cummingsmodel 302</p> <p>15.5 Themicromaser 308</p> <p>15.6 Quantumstate engineering 310</p> <p>15.7 ThePaul trap 313</p> <p>15.8 Motion of a two-level atom in a quantized light field 320</p> <p><b>16 Quantum optics and fundamental quantum theory 323</b></p> <p>16.1 Quantumentanglement 323</p> <p>16.2 Bell's inequalities 328</p> <p>16.3 Quantum erasers and measurement without interaction 332</p> <p>16.4 No cloning and quantum teleportation 337</p> <p>16.5 Quantum cryptography 342</p> <p>16.6 Quantumcomputation 343</p> <p>Selected references 351</p> <p>Index 355</p>

"…this book delivers on its promise as an introduction to theoretical optics for graduate students, applied physicists, and professional researchers." (<i>E-STREAMS</i>, October 2006) <p>"...for more experienced and mathematically interested readers, the book is highly recommended." (<i>Mathematical Reviews</i>)</p>

<b>Hartmann Römer</b> 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.

Starting from basic electrodynamics. this volume Provides a solid, yet concise introduction to theoretical optic,s containing topics such as nonlinear optics, light-matter interaction, and modern topics in quantum optics, including entanglement, cryptography, and quantum computation. <p>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 hD students as well as a Valuable reference for researchers.</p> <p>From the contents:</p> <ul> <li> <div>Crystal optics</div> </li> <li> <div>Nonlinear optics</div> </li> <li> <div>Geometrical optics</div> </li> <li> <div>Diffraction theory</div> </li> <li> <div>Holography</div> </li> <li> <div>Coherence theory</div> </li> <li> <div>Interaction of Radiation and Matter</div> </li> <li> <div>Quantum Optics and Fundamental Quantum Theory</div> </li> </ul>

DE