Contents
Foreword
Chapter 1 Electromagnetic Theory of Light 1
1.1 Maxwell's equations 1
1.2 The wave equation in dielectrics,electromagnetic waves and their properties 3
1.3 Conducting medium and Hagen-Rubens relation 7
1.4 Drude-Lorentz electron theory 10
1.5 Plasma oscillations,waves of electron density in metals-plasmons 13
1.6 Transverse and longitudinal dielectric permittivities for electromagnetic waves in metals and semiconductors 17
1.7 Semi-classical theory of quantization of the electromagnetic field,Planck's theory of equilibrium radiation 23
1.8 Einstein's theory of light quanta 27
References 29
Chapter 2 Optical Waveguides 31
2.1 Metallic waveguides,Maxwell's equations for metallic waveguides 31
2.2 TE-and TM-modes of metallic waveguide.Critical frequency of the waveguide.The group velocity of electromagnetic waves in the metallic waveguide 34
2.3 Fiber-optic light guides.Multi-and single-mode optical fibers.Gradient optical fibers.The “cut-off frequency of optical fiber 39
2.4 Practical applications of optical waveguides 45
References 57
Chapter 3 Optical Processes in the Solid State 59
3.1 Adiabatic Born-Oppenheimer and single-electron approximation in the solid state 59
3.2 The features of electron motion in the periodic field of the crystal lattice 60
3.3 Bloch theorem and Bloch functions.The reciprocal lattice.The periodicity of the electron energy in the reciprocal lattice space 64
3.4 Nearly free electron model.Bragg diffraction of electrons on the Brillouin zone boundary 71
3.5 “Effective mass of the electron.The dynamics of an electron in the reciprocal lattice 77
3.6 Interband optical transitions-direct and indirect transitions.Optical phenomena caused by intraband optical transitions 82
References 92
Chapter 4 Magneto-optical Phenomena in the Solid States 94
4.1 Linear magneto-optical effects:Faraday effect,magnetic circular dichroism,magneto-optical Kerr effect.The geometry of their observation.Phenomenological theory of the linear magneto-optical effects 95
4.2 Dynamics of conduction electrons in an external magnetic field,electrical conductivity tensor 104
4.3 Relationship between magneto-optical polar Kerr and Hall effects in the noble metals 108
4.4 The contribution of the intraband electronic transitions in the magneto-optics of the magnetically-ordered metals 114
References 121
Chapter 5 Magneto-optical Effects in the Rare-earth Compounds 123
5.1 Faraday effect microscopic theory elements associated with allowed (in the electric-dipole approximation) optical transitions 129
5.2 Contribution of Van-Vleck “mixing to the magneto-optics of RE ions in crystals 137
5.3 Optical spectra (absorption,luminescence) of the “forbidden 4f→4f electric-dipole transitions in RE ions in crystalline hosts 148
5.4 Features of the 4f→4f emission transition magnetooptics in RE compounds 156?
References 163
Chapter 6 Experimental Methods 167
6.1 Experimental methods of solid state optics 167
6.2 Ellipsometry method for determining the optical constants of metals-Drude's method and its modifications 173
6.3 The Kramers-Kronig relations and their application in the method of the normal reflection of the light 176
6.4 The basics of modern modulation spectroscopy 179
6.5 Studies of the Van Hove singularities in the density of states of metals and semiconductors by optical and modulation spectroscopy methods 181
References 185