Light and Matter

Yehuda Band -- Ben--Gurion University, Israel

Preface. 1 Electromagnetic radiation. 1.1 Brief history of the interaction of light and matter. 1.2 Light in vacuum. 1.3 Matter--source of light. 2 Phenomenology of light propagation in matter. 2.1 Absorption of light. 2.2 Nonlinear absorption. 2.3 Index of refraction. 2.4 Optical phenomena in nonisotropic media. 2.5 Electric field effects. 2.6 Acousto--optic effects. 2.7 Magnetic field effects. 3 The interaction of light and matter. 3.1 Lorentz force law. 3.2 Motion of a charged particle in static electric and magnetic fields. 3.3 Motion of a bound electron in an electromagnetic field. 3.4 Radiation due to acceleration of charges. 3.5 Multipole radiation. 3.6 Scattering of a light wavepacket. 3.7 Cooling and trapping of atoms. 4 Magnetic phenomena, constitutive relations and plasmas. 4.1 Magnetic moments. 4.2 Magnetization. 4.3 Magnetic resonance. 4.4 Polarization and magnetization as source terms. 4.5 Atomistic derivation of macroscopic electromagnetism and the constitutive relations. 4.6 Microscopic polarizability and macroscopic polarization. 4.7 Dielectric relaxation. 4.8 Plasmas 275 5 Quantum description of absorption, emission and light scattering. 5.1 Charged particle in an electromagnetic field. 5.2 Absorption and emission. 5.3 Rayleigh and Raman scattering. 5.4 Thomson scattering. 6 Spectroscopy. 6.1 Atoms. 6.2 Molecules. 6.3 Diatomic molecules. 6.4 Polyatomic molecules. 6.5 Condensed--phase materials. 7 Lasers. 7.1 Laser dynamics. 7.2 Threshold. 7.3 Steady state. 7.4 Pulsed laser operation. 7.5 Cavity modes. 7.6 Amplified spontaneous emission. 7.7 Laser linewidth. 7.8 Laser coherence. 7.9 Specific laser systems. 8 Nonlinear optics. 8.1 Expansion of the polarization in the electric field. 8.2 Phase--matching. 8.3 Second harmonic generation. 8.4 Three--wave mixing. 8.5 Third harmonic generation. 8.6 Self--focusing and self--phase modulation. 8.7 Four--wave mixing. 8.8 Stimulated Raman processes. 8.9 Stimulated Brillouin processes. 8.10 Nonlinear matter--wave optics. 9 Quantum--optical processes. 9.1 Interaction of a two--level system with an electromagnetic field. 9.2 Liouville--von Neumann equation for the density matrix. 9.3 Three--level system. 9.4 Coherent states and squeezed states. 9.5 The Jaynes--Cummings model. 9.6 Interaction between modes of a quantum field. 10 Light propagation in optical fibers and introduction to optical communication systems. 10.1 Fiber characteristics. 10.2 Transverse modes of an optical fiber. 10.3 Nonlinear processes in fibers. 10.4 Fiber--optic communication systems. Appendices. Appendix A: vector analysis. A.1 Scalar and vector products. A.2 Differential operators. A.3 Divergence and Stokes theorems. A.4 Curvilinear coordinates. Appendix B: Electromagnetism and Maxwell's equations. B.1 The laws of electromagnetism. B.2 Electromagnetic units. B.3 Maxwell's equations. Appendix C: Quantum mechanics and the Schr odinger equation. C.1 Time--dependent and time--independent Schr odinger equations. C.2 Spherical harmonics. C.3 The radial Schrodinger equation. C.4 The free particle. C.5 The spherical top and the distorted spherical top. C.6 The Coulomb potential. C.7 Atomic units. C.8 The Morse potential. C.9 The harmonic oscillator potential. Appendix D: perturbation theory. D.1 Nondegenerate time--independent perturbation theory. D.2 Degenerate time--independent perturbation theory. D.3 Time--dependent perturbation theory. Appendix E: Fundamental constants. References. Bibliography. Index.