Theoretical Optics : An Introduction

by Hartmann Römer (University of Freiburg, Germany)

• ISBN13: 9783527404292
• ISBN10: 3527404295
• Format: Hardcover
• Copyright: 2005-02-01
• Publisher: Wiley-VCH
• More Book Details

Summary

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.

Author Biography

<b>Hartmann R&#246;mer</b> was born in Wuppertal, Germany, in 1943. In 1970 he received his doctorate from&#160;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.

Table of Contents

Preface to the German edition	ix
Preface to the English edition	xiii
A short survey of the history of optics	1	(14)
The electrodynamics of continuous media	15	(30)
Maxwell's equations	15	(3)
Molecular vs. macroscopic fields	18	(2)
A simple model for the electric current	20	(3)
Dispersion relations and the passivity condition	23	(4)
Electric displacement density and magnetic field strength	27	(6)
Index of refraction and coefficient of absorption	33	(2)
The electromagnetic material quantities	35	(4)
The oscillator model for the electric susceptibility	39	(1)
Material equations in moving media	40	(5)
Linear waves in homogeneous media	45	(10)
Elastic waves in solids	45	(3)
Isotropic elastic media	48	(3)
Wave surfaces and ray surfaces	51	(4)
Crystal optics	55	(20)
The normal ellipsoid	55	(3)
Plane waves in crystals	58	(4)
Optically uniaxial crystals	62	(3)
Optically biaxial crystals	65	(1)
Reflection and refraction at interfaces	66	(3)
Fresnel's equations	69	(3)
The Fabry-Perot interferometer	72	(3)
Electro-, magneto- and elastooptical phenomena	75	(8)
Polarization effects up to first order -- optical activity	75	(4)
Polarization effects of higher order	79	(4)
Dependence on distortions	80	(1)
Dependence on shear flows	80	(1)
Influence of electric fields	80	(1)
Dependence on magnetic fields	81	(2)
Foundations of nonlinear optics	83	(24)
Nonlinear polarization -- combination frequencies	83	(2)
Nonlinear waves in a medium	85	(4)
Survey of phenomena in nonlinear optics	89	(2)
Parametric amplification and frequency doubling	91	(2)
Phase matching	93	(2)
Self-focussing, optical bistability, phase self-modulation	95	(3)
Phase conjugation	98	(3)
Fiber optics and optical solitons	101	(6)
Short-wave asymptotics	107	(14)
Introductory remarks	107	(2)
Short-wave expansion of Maxwell's equations	109	(2)
The scalar wave equation	111	(2)
Phase surfaces and rays	113	(2)
Fermat's principle	115	(1)
Analogy between mechanics and geometrical optics	116	(5)
Geometrical optics	121	(22)
Fermat's principle and focal points	121	(1)
Perfect optical instruments	122	(1)
Maxwell's fish-eye	123	(2)
Canonical transformations and eikonal functions	125	(3)
Imaging points close to the optic axis by wide spread ray bundles	128	(3)
Linear geometrical optics and symplectic transformations	131	(3)
Gaussian optics and image matrices	134	(5)
Lens defects and Seidel's theory of aberrations	139	(4)
Geometric theory of caustics	143	(24)
Short-wave asymptotics for linear partial differential equations	143	(3)
Solution of the characteristic equation	146	(5)
Solution of the transport equation	151	(2)
Focal points and caustics	153	(3)
Behavior of phases in the vicinity of caustics	156	(2)
Caustics, Lagrangian submanifolds and Maslov index	158	(3)
Supplementary remarks on geometrical short-wave asymptotics	161	(6)
Diffraction theory	167	(36)
Survey	167	(1)
The principles of Huygens and Fresnel	167	(4)
The method of stationary phases	171	(4)
Kirchhoff's representation of the wave amplitude	175	(4)
Kirchhoff's theory of diffraction	179	(5)
Diffraction at an edge	184	(2)
Examples of Fraunhofer diffraction	186	(5)
Diffraction by a rectangle	187	(1)
Diffraction by a circular aperture	188	(1)
Arrangements of several identical structures	189	(2)
Optical image processing in Fourier space	191	(4)
Morse families	195	(3)
Oscillatory functions and Fourier integral operators	198	(5)
Holography	203	(8)
The principle of holography	203	(2)
Modifications and applications	205	(2)
Observing small object deformations	206	(1)
Holographic optical instruments	206	(1)
Pattern recognition	207	(1)
Volume holograms	207	(4)
Coherence theory	211	(34)
Coherent and incoherent light	211	(2)
Real and analytical signals	213	(4)
The light wave field as a stochastic process	217	(3)
Gaussian stochastic processes	220	(2)
The quasi-monochromatic approximation	222	(2)
Coherence and correlation functions	224	(3)
The propagation of the correlation function	227	(3)
Amplitude and intensity interferometry	230	(2)
Amplitude interferometry: Michelson interferometer	230	(1)
Photon correlation spectroscopy	231	(1)
Dynamical light scattering	232	(4)
Granulation	236	(1)
Image processing by filtering	237	(2)
Polarization of partially coherent light	239	(6)
Quantum states of the electromagnetic field	245	(28)
Quantization of the electromagnetic field and harmonic oscillators	245	(6)
Coherent and squeezed states	251	(8)
Operators, ordering procedures and star products	259	(7)
The Q, P, and Wigner functions of a density operator	266	(7)
Detection of radiation fields	273	(16)
Beam splitters and homodyne detection	273	(6)
Correlation functions and quantum coherence	279	(2)
Measurement of correlation functions	281	(4)
Anti-bunching and sub-Poissonian light	285	(4)
Interaction of radiation and matter	289	(34)
The electric dipole interaction	289	(5)
Simple laser theory	294	(2)
Three-level systems and atomic interference	296	(6)
Electromagnetically induced transparency	299	(2)
Refractive index enhancement	301	(1)
Lasing without inversion	301	(1)
Correlated emission laser	301	(1)
The Jaynes-Cummings model	302	(6)
The micromaser	308	(2)
Quantum state engineering	310	(3)
The Paul trap	313	(7)
Motion of a two-level atom in a quantized light field	320	(3)
Quantum optics and fundamental quantum theory	323	(28)
Quantum entanglement	323	(5)
Bell's inequalities	328	(4)
Quantum erasers and measurement without interaction	332	(5)
No cloning and quantum teleportation	337	(5)
Quantum cryptography	342	(1)
Quantum computation	343	(8)
Selected references	351	(4)
Index	355