Cover -- Title -- Copyright -- Contents -- Preface -- 1 Transfer Matrix -- 1.1 A Scattering Experiment -- 1.2 Scattering Matrix and Transfer Matrix -- 1.3 Transmission and Reflection Amplitudes -- 1.4 Properties of the Transfer Matrix -- 1.5 Supplementary Notes -- 1.6 Problems -- 2 Rectangular Potentials -- 2.1 Transfer Matrix -- 2.2 Transmission Coefficient: E > V[sub(0)] -- 2.3 Tunneling: 0 < E < V[sub(0)] -- 2.4 Current Density -- 2.5 Bound States: V[sub(0)] < E <0 -- 2.6 Inverse Problem for Rectangular Potential -- 2.7 Problems -- 3 δ-Function Potential -- 3.1 Single δ-Function Potential -- 3.2 Two δ-Function Repulsive Potentials -- 3.3 Bound States of Double δ-Function Attractive Potentials -- 3.4 N Identical δ-Function Barriers -- 3.5 Supplementary Notes -- 3.6 Problems -- 4 Kronig-Penney Model -- 4.1 The Periodic Model -- 4.2 Allowed Energy Bands -- 4.3 The Density of States -- 4.4 Wave Function -- 4.5 Single Impurity -- 4.6 N δ-Function Barriers versus Infinite Kronig-Penney Model -- 4.7 Supplementary Notes -- 4.8 Problems -- 5 Tight Binding Model -- 5.1 Periodic Model -- 5.2 The Transfer Matrix -- 5.3 Transmission Coefficient -- 5.4 Single Impurity -- 5.5 Transmission through Impurities -- 5.6 Coupled Pendulum Analogy of the Tight Binding Model -- 5.7 Problems -- 6 Tight Binding Models of Crystals -- 6.1 Periodic One-Dimensional System with Two Different Atoms -- 6.2 Periodic Model with Different Distances between Neighboring Atoms -- 6.3 Periodic One-dimensional System with Two Different Atoms and Spatial Period l = 4a -- 6.4 Reduced Zone Scheme -- 6.5 Problems -- 7 Disordered Models -- 7.1 Random Tight Binding Model -- 7.2 Random Kronig-Penney Model -- 7.3 Supplementary Notes -- 7.4 Problems -- 8 Numerical Solution of the Schrödinger Equation -- 8.1 Numerical Procedure -- 8.2 Accuracy of Numerical Data.

8.3 Numerical Data for Transmission -- 8.4 Problems -- 9 Transmission and Reflection of Plane Electromagnetic Waves on an Interface -- 9.1 Plane Wave at the Interface -- 9.2 Transmission and Reflection Coefficients -- 9.3 Interface between Two Dielectric Materials -- 9.4 Interface between a Dielectric Material and a Metal -- 9.5 Total Transmission -- 9.6 Total Reflection -- 9.7 Problems -- 10 Transmission and Reflection Coefficients for a Slab -- 10.1 Transmission and Reflection Amplitudes: TE and TM modes -- 10.2 Dielectric Slab Embedded in Vacuum -- 10.3 Transmission through a Metallic Slab -- 10.4 Problems -- 11 Surface Waves -- 11.1 Surface Waves at the Interface between Two Media -- 11.2 Surface Modes on a Slab -- 11.3 Experimental Observation of Surface Waves -- 11.4 Problems -- 12 Resonant Tunneling through Double-Layer Structures -- 12.1 Transmission through Two Dielectric Layers -- 12.2 Transmission through Two Metallic Layers -- 12.3 Problems -- 13 Layered Electromagnetic Medium: Photonic Crystals -- 13.1 Photonic Crystals: Infinite Periodic Layered Medium -- 13.2 Periodic Arrangement of Dielectric Layers -- 13.3 Band Structure of Photonic Crystals -- 13.4 Coupling to a Finite Photonic Crystal -- 13.5 Layered Dispersive Media -- 13.6 Kronig-Penney Model of a Photonic Crystal -- 13.7 Problems -- 14 Effective Parameters -- 14.1 Effective Parameters of a Layered Medium -- 14.2 Retrieval Procedure -- 14.3 Alternating Layers with Negative Permittivity and Negative Permeability -- 14.4 Problem -- 15 Wave Propagation in Nonlinear Structures -- 15.1 Single δ-Function Layer of a Nonlinear Dielectric -- 15.2 Nonlinear Kronig-Penney δ-Function Model -- 15.3 Problems -- 16 Left-Handed Materials -- 16.1 Electromagnetic Properties of Left-Handed Materials -- 16.2 Transmission through a Slab of Left-Handed Material.

16.3 Structure of Left-Handed Materials -- 16.4 Problems -- Appendix A: Matrix Operations -- A.1 The Determinant and the Trace of the Matrix -- A.2 Inverse, Transpose, and Unitary Matrices -- A.3 Eigenvalues and Eigenvectors -- A.4 Similarity Transformations -- A.5 Degeneracy -- Appendix B: Summary of Electrodynamics Formulas -- B.1 Maxwell's Equations -- B.2 Wave Equation -- B.3 Group Velocity and Phase Velocity -- B.4 Poynting Vector -- B.5 Boundary Condition at an Interface -- B.6 Permitivity and Permeability -- B.7 Metals -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- V -- W.