Pub. Date:
Wiley, John & Sons, Incorporated
Theoretical Optics: An Introduction

Theoretical Optics: An Introduction

by Hartmann Römer


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Product Details

ISBN-13: 9783527404292
Publisher: Wiley, John & Sons, Incorporated
Publication date: 02/28/2005
Pages: 375
Product dimensions: 6.90(w) x 9.60(h) x 0.90(d)

About the Author

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.

Table of Contents

Preface to the German edition.

Preface to the English edition.

1. A short survey of the history of optics.

2. The electrodynamics of continuous media.

2.1 Maxwell’s equations.

2.2 Molecular vs. macroscopic fields.

2.3 A simple model for the electric current.

2.4 Dispersion relations and the passivity condition.

2.5 Electric displacement density and magnetic field strength.

2.6 Index of refraction and coefficient of absorption.

2.7 The electromagnetic material quantities.

2.8 The oscillator model for the electric susceptibility.

2.9 Material equations in moving media.

3. Linear waves in homogeneous media.

3.1 Elastic waves in solids.

3.2 Isotropic elastic media.

3.3 Wave surfaces and ray surfaces.

4. Crystal optics.

4.1 The normal ellipsoid.

4.2 Plane waves in crystals.

4.3 Optically uniaxial crystals.

4.4 Optically biaxial crystals.

4.5 Reflection and refraction at interfaces.

4.6 Fresnel’s equations.

4.7 The Fabry–Perot interferometer.

5. Electro-, magneto- and elastooptical phenomena.

5.1 Polarization effects up to first order – optical activity.

5.2 Polarization effects of higher order.

6. Foundations of nonlinear optics.

6.1 Nonlinear polarization – combination frequencies.

6.2 Nonlinear waves in a medium.

6.3 Survey of phenomena in nonlinear optics.

6.4 Parametric amplification and frequency doubling.

6.5 Phase matching.

6.6 Self-focussing, optical bistability, phase self-modulation.

6.7 Phaseconjugation.

6.8 Fiber optics and optical solitons.

7. Short-wave asymptotics.

7.1 Introductory remarks.

7.2 Short-wave expansion of Maxwell’s equations.

7.3 The scalar wave equation.

7.4 Phase surfaces and rays.

7.5 Fermat’s principle.

7.6 Analogy between mechanics and geometrical optics.

8. Geometrical optics.

8.1 Fermat’s principle and focal points.

8.2 Perfect optical instruments.

8.3 Maxwell’s fish-eye.

8.4 Canonical transformations and eikonal functions.

8.5 Imaging points close to the optic axis by wide spread ray bundles.

8.6 Linear geometrical optics and symplectic transformations.

8.7 Gaussian optics and image matrices.

8.8 Lens defects and Seidel’s theory of aberrations.

9. Geometric theory of caustics.

9.1 Short-wave asymptotics for linear partial differential equations.

9.2 Solution of the characteristic equation.

9.3 Solution of the transport equation.

9.4 Focal points and caustics.

9.5 Behavior of phases in the vicinity of caustics.

9.6 Caustics, Lagrangian submanifolds and Maslov index.

9.7 Supplementary remarks on geometrical short-wave asymptotics.

10. Diffraction theory.

10.1 Survey.

10.2 The principles of Huygens and Fresnel.

10.3 The method of stationary phases.

10.4 Kirchhoff’s representation of the wave amplitude.

10.5 Kirchhoff’s theory of diffraction.

10.6 Diffraction at an edge.

10.7 Examples of Fraunhofer diffraction.

10.8 Optical image processing in Fourier space.

10.9 Morse families.

10.10 Oscillatory functions and Fourier integral operators.

11. Holography.

11.1 The principle of holography.

11.2 Modifications and applications.

11.3 Volume holograms.

12. Coherence theory.

12.1 Coherent and incoherent light.

12.2 Real and analytical signals.

12.3 The light wave field as a stochastic process.

12.4 Gaussian stochastic processes.

12.5 The quasi-monochromatic approximation.

12.6 Coherence and correlation functions.

12.7 The propagation of the correlation function.

12.8 Amplitude and intensity interferometry.

12.9 Dynamical light scattering.

12.10 Granulation.

12.11 Image processing by filtering.

12.12 Polarization of partially coherent light.

13. Quantum states of the electromagnetic field.

13.1 Quantization of the electromagnetic field and harmonic oscillators.

13.2 Coherent and squeezed states.

13.3 Operators, ordering procedures and star products.

13.4 The Q, P, and Wigner functions of a density operator.

14. Detection of radiation fields.

14.1 Beam splitters and homodyne detection.

14.2 Correlation functions and quantum coherence.

14.3 Measurement of correlation functions.

14.4 Anti-bunching and sub-Poissonian light.

15. Interaction of radiation and matter.

15.1 The electric dipole interaction.

15.2 Simple laser theory.

15.3 Three-level systems and atomic interference.

15.4 The Jaynes–Cummings model.

15.5 The micromaser.

15.6 Quantum state engineering.

15.7 The Paul trap.

15.8 Motion of a two-level atom in a quantized light field .

16. Quantum optics and fundamental quantum theory.

16.1 Quantum entanglement.

16.2 Bell’s inequalities.

16.3 Quantum erasers and measurement without interaction.

16.4 No cloning and quantum teleportation.

16.5 Quantum cryptography.

16.6 Quantum computation.

Selected references.


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