PHOTONICS

Preface

1. Fundamental properties of light
Introduction
1.1 Classical description of light waves
1.2 Basic solutions to the scalar wave equation
1.3 Vector representation of light waves. Polarization
1.4 Conservation of energy. Intensity
1.5 Momentum relations and radiation pressure
1.6 Solved problems
1.7 Proposed problems

2. Basic models for optical beams
Introduction
2.1 Helmholtz equation for optical beams
2.2 Paraxial wave equation for optical beams
2.3 Basic solutions to the paraxial wave equation
2.4 Basic properties of Gaussian beams
2.5 The effect of a lens on a Gaussian beam
2.6 General solutions to the paraxial wave equation
2.7 Solved Problems
2.8 Proposed problems

3. Light emission and light–matter interaction
Introduction
3.1 Light emission from a dipole
3.2 Radiation properties of harmonic dipoles
3.3 Interaction of a single atom with an incident light field
3.4 Maxwell equations in macroscopic media
3.5 Energy relations in material media
3.6 Solved problems
3.7 Proposed problems

4. Crystal Optics
Introduction
4.1 Normal modes of propagation in birefringent media
4.2 Polarization state of the normal modes
4.3 Ray propagation in uniaxial crystals
4.4 Applications of wave propagation in uniaxial crystals
4.5 Solved problems
4.6 Proposed problems

5. Light pulse propagation
Introduction
5.1 Mathematical description of light pulses
5.2 Pulse duration and bandwidth
5.3 Instantaneous frequency and chirp
5.4 Optical pulse propagation in dispersive media
5.5 Solved problems
5.6 Proposed problems

6. Basic diffraction phenomena
Introduction
6.1 Angular spectrum representation of optical beams
6.2 The concept of spatial frequency
6.3 The connection between the angular spectrum representation and the scalar Rayleigh–Sommerfeld diffraction theory
6.4 Diffraction theory in the Fresnel and Fraunhofer approximation
6.5 Fourier transforms by lenses: Introduction to image processing
6.6 Resolution limit in optical systems
6.7 Diffraction from an array of periodic elements
6.8 Solved problems
6.9 Proposed problems

Appendix A. The Laser
Appendix B. Classical radiation from elementary dipoles
Appendix C. Lorentz model of electron oscillation
Appendix D. Basic properties of Fourier transforms
Appendix E. Diffraction pattern from a circular aperture
Appendix F. Fourier transforms by lenses

Bibliography
General reference books in optics and photonics
Advanced books on specialized topics
Handbooks of Optics

Photonics deals with the applications of light in science and technology including a vast number of different topics from engineering to telecommunications, to medicine, computing, metrology, and on and on. The book covers different topics related to the properties of the coherent interaction of light with matter in the frame of classical electrodynamics introducing the basic concepts in this field to undergraduate students and young researchers approaching this field. The contents include a revision of the fundamental properties of light and of the classical theory of light emission and intro- duces the basic equations describing the propagation of light beams and light pulses, including light propagation in uniaxial crystals and diffraction. A list of solved problems is included at the end of each chapter and the bibliography at the end covers both a basic and a more specialized literature for those students likely to go more deeply into the fascinating ideas of this field.