Wave propagation [electronic resource] : from electrons to photonic crystals and lefthanded materials
 Responsibility
 Peter Markoš, Costas M. Soukoulis.
 Language
 English.
 Imprint
 Princeton ; Oxford : Princeton University Press, ©2008.
 Physical description
 1 online resource (xi, 352 pages) : illustrations
Access
Available online
More options
Creators/Contributors
 Author/Creator
 Markoš, Peter.
 Contributor
 Soukoulis, C. M.
Contents/Summary
 Bibliography
 Includes bibliographical references (pages 341347) and index.
 Contents

 Preface ix Chapter 1: Transfer Matrix 1 1.1 A Scattering Experiment 2 1.2 Scattering Matrix and Transfer Matrix 3 1.3 Transmission and Reflection Amplitudes 10 1.4 Properties of the Transfer Matrix 12 1.5 Supplementary Notes 19 1.6 Problems 24 Chapter 2: Rectangular Potentials 28 2.1 Transfer Matrix 29 2.2 Transmission Coefficient: E > V0 32 2.3 Tunneling: 0 V0 38 2.4 Current Density 42 2.5 Bound States: V0 0 45 2.6 Inverse Problem for Rectangular Potential 47 2.7 Problems 49 Chapter 3: delta Function Potential 56 3.1 Single deltaFunction Potential 56 3.2 Two deltaFunction Repulsive Potentials 60 3.3 Bound States of Double deltaFunction Attractive Potentials 62 3.4 N Identical deltaFunction Barriers 64 3.5 Supplementary Notes 68 3.6 Problems 69 Chapter 4: KronigPenney Model 74 4.1 The Periodic Model 75 4.2 Allowed Energy Bands 76 4.3 The Density of States 81 4.4 Wave Function 83 4.5 Single Impurity 84 4.6 N deltaFunction Barriers versus Infinite KronigPenney Model 87 4.7 Supplementary Notes 88 4.8 Problems 91 Chapter 5: Tight Binding Model 98 5.1 Periodic Model 100 5.2 The Transfer Matrix 104 5.3 Transmission Coefficient 106 5.4 Single Impurity 107 5.5 Transmission through Impurities 108 5.6 Coupled Pendulum Analogy of the Tight Binding Model 111 5.7 Problems 114 Chapter 6: Tight Binding Models of Crystals 120 6.1 Periodic OneDimensional System with Two Different Atoms 120 6.2 Periodic Model with Different Distances between Neighboring Atoms 125 6.3 Periodic Onedimensional System with Two Different Atoms and Spatial Period l = 4a 126 6.4 Reduced Zone Scheme 129 6.5 Problems 130 Chapter 7: Disordered Models 137 7.1 Random Tight Binding Model 138 7.2 Random KronigPenney Model 150 7.3 Supplementary Notes 159 7.4 Problems 168 Chapter 8: Numerical Solution of the Schrodinger Equation 173 8.1 Numerical Procedure 173 8.2 Accuracy of Numerical Data 174 8.3 Numerical Data for Transmission 177 8.4 Problems 179 Chapter 9: Transmission and Reflection of Plane Electromagnetic Waves on an Interface 181 9.1 Plane Wave at the Interface 181 9.2 Transmission and Reflection Coefficients 184 9.3 Interface between Two Dielectric Materials 189 9.4 Interface between a Dielectric Material and a Metal 190 9.5 Total Transmission 195 9.6 Total Reflection 198 9.7 Problems 200 Chapter 10: Transmission and Reflection Coefficients for a Slab 205 10.1 Transmission and Reflection Amplitudes: TE and TM modes 206 10.2 Dielectric Slab Embedded in Vacuum 209 10.3 Transmission through a Metallic Slab 220 10.4 Problems 223 Chapter 11: Surface Waves 225 11.1 Surface Waves at the Interface between Two Media 226 11.2 Surface Modes on a Slab 233 11.3 Experimental Observation of Surface Waves 237 11.4 Problems 241 Chapter 12: Resonant Tunneling through DoubleLayer Structures 243 12.1 Transmission through Two Dielectric Layers 243 12.2 Transmission through Two Metallic Layers 246 12.3 Problems 248 Chapter 13: Layered Electromagnetic Medium: Photonic Crystals 249 13.1 Photonic Crystals: Infinite Periodic Layered Medium 250 13.2 Periodic Arrangement of Dielectric Layers 252 13.3 Band Structure of Photonic Crystals 254 13.4 Coupling to a Finite Photonic Crystal 258 13.5 Layered Dispersive Media 263 13.6 KronigPenney Model of a Photonic Crystal 269 13.7 Problems 271 Chapter 14: Effective Parameters 275 14.1 Effective Parameters of a Layered Medium 276 14.2 Retrieval Procedure 279 14.3 Alternating Layers with Negative Permittivity and Negative Permeability 282 14.4 Problem 285 Chapter 15: Wave Propagation in Nonlinear Structures 286 15.1 Single deltaFunction Layer of a Nonlinear Dielectric 286 15.2 Nonlinear KronigPenney deltaFunction Model 290 15.3 Problems 296 Chapter 16: LeftHanded Materials 298 16.1 Electromagnetic Properties of LeftHanded Materials 299 16.2 Transmission through a Slab of LeftHanded Material 303 16.3 Structure of LeftHanded Materials 309 16.4 Problems 317 Appendix A: Matrix Operations 321 A.1 The Determinant and the Trace of the Matrix 321 A.2 Inverse, Transpose, and Unitary Matrices 322 A.3 Eigenvalues and Eigenvectors 324 A.4 Similarity Transformations 324 A.5 Degeneracy 325 Appendix B: Summary of Electrodynamics Formulas 327 B.1 Maxwell's Equations 327 B.2 Wave Equation 330 B.3 Group Velocity and Phase Velocity 331 B.4 Poynting Vector 333 B.5 Boundary Condition at an Interface 334 B.6 Permitivity and Permeability 335 B.7 Metals 337 Bibliography 341 Index 349.
 (source: Nielsen Book Data)9780691130033 20160912
 Publisher's Summary
 This textbook offers the first unified treatment of wave propagation in electronic and electromagnetic systems and introduces readers to the essentials of the transfer matrix method, a powerful analytical tool that can be used to model and study an array of problems pertaining to wave propagation in electrons and photons. It is aimed at graduate and advanced undergraduate students in physics, materials science, electrical and computer engineering, and mathematics, and is ideal for researchers in photonic crystals, negative index materials, lefthanded materials, plasmonics, nonlinear effects, and optics. Peter Markos and Costas Soukoulis begin by establishing the analogy between wave propagation in electronic systems and electromagnetic media and then show how the transfer matrix can be easily applied to any type of wave propagation, such as electromagnetic, acoustic, and elastic waves. The transfer matrix approach of the tightbinding model allows readers to understand its implementation quickly and all the concepts of solidstate physics are clearly introduced. Markos and Soukoulis then build the discussion of such topics as random systems and localized and delocalized modes around the transfer matrix, bringing remarkable clarity to the subject. Total internal reflection, Brewster angles, evanescent waves, surface waves, and resonant tunneling in lefthanded materials are introduced and treated in detail, as are important new developments like photonic crystals, negative index materials, and surface plasmons. Problem sets aid students working through the subject for the first time.
(source: Nielsen Book Data)9780691130033 20160912
Subjects
 Subject
 Wavemotion, Theory of.
 Elastic waves.
 Mathematics.
 Science.
 Physics.
 Electrical engineering.
 Engineering.
 Ondes élastiques.
 Théorie du mouvement ondulatoire.
 Théorie du mouvement ondulatoire > Mathématiques.
 Ondes électromagnétiques > Propagation.
 SCIENCE > Waves & Wave Mechanics.
 SCIENCE > Physics > General.
 Wavemotion, Theory of.
 Wellenausbreitung.
 JSTORDDA
 MultiUser.
Bibliographic information
 Publication date
 2008
 Available in another form
 Print version: Markoš, Peter. Wave propagation. Princeton ; Oxford : Princeton University Press, ©2008 ( 9780691130033 )
 ISBN
 9781400835676 (electronic bk.)
 1400835674 (electronic bk.)
 9781680159011 (electronic bk.)
 1680159011 (electronic bk.)
 0691130035
 9780691130033