Theoretical Optics : An Introduction

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Format: Hardcover
Pub. Date: 2005-02-01
Publisher(s): Wiley-VCH
List Price: $147.00

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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

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