{"product_id":"wave-propagation-from-electrons-to-photonic-crystals-and-lefthanded-materials-9780691130033","title":"Wave Propagation  From Electrons to Photonic","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eOffers a unified treatment of wave propagation in electronic and electromagnetic systems and introduces readers to the essentials of the transfer matrix method, an analytical tool that can be used to model and study an array of problems pertaining to wave propagation in electrons and photons.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"In this excellent volume, physicists Markos and Soukoulis treat a wide range of physical phenomenon with a single unifying mathematical matrix method.\"--M. Coplan, Choice \"The book can be recommended to everyone who is going to enter the field of wave propagation.\"--Aleksander Pankov, Zentralblatt MATH \"This book is conceptually well-organized and concisely focused in its applications. It also has numerous illustrative problems to give the reader experience with using the techniques. It will undoubtedly emerge as a standard upper-divison undergraduate\/graduate text for the teaching of the subject.\"--David H. Delphenich, Mathematical Reviews \"I strongly recommend this volume for undergraduate students, graduate students, and researchers alike. It is very carefully prepared and offers insights into numerous aspects of wave propagation, from standard problems of quantum theory to topics of today's research. In particular, the graphical supplements allow for an easy comprehension of the theoretical considerations. For students, the book is a profitable amendment to standard treatises on quantum theory, electrodynamics, and solid state physics. Researchers will enjoy the succinct presentation of a variety of topics from a unified point of view, and, last but not least, professors will be able to extract new ideas (and some exercises) for their lectures from this remarkable volume.\"--Ulrich Eckern, Annalen der Physik\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface 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 \u0026gt; 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 delta-Function Potential 56 3.2 Two delta-Function Repulsive Potentials 60 3.3 Bound States of Double delta-Function Attractive Potentials 62 3.4 N Identical delta-Function Barriers 64 3.5 Supplementary Notes 68 3.6 Problems 69   Chapter 4: Kronig-Penney 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 delta-Function Barriers versus Infinite Kronig-Penney 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 One-Dimensional System with Two Different Atoms 120 6.2 Periodic Model with Different Distances between Neighboring Atoms 125 6.3 Periodic One-dimensional 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 Kronig-Penney 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 Double-Layer 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 Kronig-Penney 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 delta-Function Layer of a Nonlinear Dielectric 286 15.2 Nonlinear Kronig-Penney delta-Function Model 290 15.3 Problems 296   Chapter 16: Left-Handed Materials 298 16.1 Electromagnetic Properties of Left-Handed Materials 299 16.2 Transmission through a Slab of Left-Handed Material 303 16.3 Structure of Left-Handed 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","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":49403748417879,"sku":"9780691130033","price":87.2,"currency_code":"GBP","in_stock":false}],"url":"https:\/\/bookcurl.com\/products\/wave-propagation-from-electrons-to-photonic-crystals-and-lefthanded-materials-9780691130033","provider":"Book Curl","version":"1.0","type":"link"}