Wave Propagation: From Electrons to Photonic Crystals and Left-Handed Materials available in Hardcover
Wave Propagation: From Electrons to Photonic Crystals and Left-Handed Materials
- ISBN-10:
- 0691130035
- ISBN-13:
- 9780691130033
- Pub. Date:
- 04/21/2008
- Publisher:
- Princeton University Press
- ISBN-10:
- 0691130035
- ISBN-13:
- 9780691130033
- Pub. Date:
- 04/21/2008
- Publisher:
- Princeton University Press
Wave Propagation: From Electrons to Photonic Crystals and Left-Handed Materials
Hardcover
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$130.00Overview
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 tight-binding model allows readers to understand its implementation quickly and all the concepts of solid-state 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 left-handed 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.
Product Details
| ISBN-13: | 9780691130033 |
|---|---|
| Publisher: | Princeton University Press |
| Publication date: | 04/21/2008 |
| Pages: | 376 |
| Product dimensions: | 7.00(w) x 10.00(h) x (d) |
About the Author
Table of Contents
Preface ix
Chapter 1: Transfer Matrix 11.1 A Scattering Experiment 21.2 Scattering Matrix and Transfer Matrix 31.3 Transmission and Reflection Amplitudes 101.4 Properties of the Transfer Matrix 121.5 Supplementary Notes 191.6 Problems 24
Chapter 2: Rectangular Potentials 282.1 Transfer Matrix 292.2 Transmission Coefficient: E > V0 322.3 Tunneling: 0 < E < V0 382.4 Current Density 422.5 Bound States: V0 < E < 0 452.6 Inverse Problem for Rectangular Potential 472.7 Problems 49
Chapter 3: δ -Function Potential 563.1 Single δ-Function Potential 563.2 Two δ-Function Repulsive Potentials 603.3 Bound States of Double δ-Function Attractive Potentials 623.4 N Identical δ-Function Barriers 643.5 Supplementary Notes 683.6 Problems 69
Chapter 4: Kronig-Penney Model 744.1 The Periodic Model 754.2 Allowed Energy Bands 764.3 The Density of States 814.4 Wave Function 834.5 Single Impurity 844.6 N δ-Function Barriers versus Infinite Kronig-Penney Model 874.7 Supplementary Notes 884.8 Problems 91
Chapter 5: Tight Binding Model 985.1 Periodic Model 1005.2 The Transfer Matrix 1045.3 Transmission Coefficient 1065.4 Single Impurity 1075.5 Transmission through Impurities 1085.6 Coupled Pendulum Analogy of the Tight Binding Model 1115.7 Problems 114
Chapter 6: Tight Binding Models of Crystals 1206.1 Periodic One-Dimensional System with Two Different Atoms 1206.2 Periodic Model with Different Distances between Neighboring Atoms 1256.3 Periodic One-dimensional System with Two Different Atoms and Spatial Period l = 4a 1266.4 Reduced Zone Scheme 1296.5 Problems 130
Chapter 7: Disordered Models 1377.1 Random Tight Binding Model 1387.2 Random Kronig-Penney Model 1507.3 Supplementary Notes 1597.4 Problems 168
Chapter 8: Numerical Solution of the Schrödinger Equation 1738.1 Numerical Procedure 1738.2 Accuracy of Numerical Data 1748.3 Numerical Data for Transmission 1778.4 Problems 179
Chapter 9: Transmission and Reflection of Plane Electromagnetic Waves on an Interface 1819.1 Plane Wave at the Interface 1819.2 Transmission and Reflection Coefficients 1849.3 Interface between Two Dielectric Materials 1899.4 Interface between a Dielectric Material and a Metal 1909.5 Total Transmission 1959.6 Total Reflection 1989.7 Problems 200
Chapter 10: Transmission and Reflection Coefficients for a Slab 20510.1 Transmission and Reflection Amplitudes: TE and TM modes 20610.2 Dielectric Slab Embedded in Vacuum 20910.3 Transmission through a Metallic Slab 22010.4 Problems 223
Chapter 11: Surface Waves 22511.1 Surface Waves at the Interface between Two Media 22611.2 Surface Modes on a Slab 23311.3 Experimental Observation of Surface Waves 23711.4 Problems 241
Chapter 12: Resonant Tunneling through Double-Layer Structures 24312.1 Transmission through Two Dielectric Layers 24312.2 Transmission through Two Metallic Layers 24612.3 Problems 248
Chapter 13: Layered Electromagnetic Medium: Photonic Crystals 24913.1 Photonic Crystals: Infinite Periodic Layered Medium 25013.2 Periodic Arrangement of Dielectric Layers 25213.3 Band Structure of Photonic Crystals 25413.4 Coupling to a Finite Photonic Crystal 25813.5 Layered Dispersive Media 26313.6 Kronig-Penney Model of a Photonic Crystal 26913.7 Problems 271
Chapter 14: Effective Parameters 27514.1 Effective Parameters of a Layered Medium 27614.2 Retrieval Procedure 27914.3 Alternating Layers with Negative Permittivity and Negative Permeability 28214.4 Problem 285
Chapter 15: Wave Propagation in Nonlinear Structures 28615.1 Single δ-Function Layer of a Nonlinear Dielectric 28615.2 Nonlinear Kronig-Penney δ-Function Model 29015.3 Problems 296
Chapter 16: Left-Handed Materials 29816.1 Electromagnetic Properties of Left-Handed Materials 29916.2 Transmission through a Slab of Left-Handed Material 30316.3 Structure of Left-Handed Materials 30916.4 Problems 317
Appendix A: Matrix Operations 321A.1 The Determinant and the Trace of the Matrix 321A.2 Inverse, Transpose, and Unitary Matrices 322A.3 Eigenvalues and Eigenvectors 324A.4 Similarity Transformations 324A.5 Degeneracy 325Appendix B: Summary of Electrodynamics Formulas 327B.1 Maxwell's Equations 327B.2 Wave Equation 330B.3 Group Velocity and Phase Velocity 331B.4 Poynting Vector 333B.5 Boundary Condition at an Interface 334B.6 Permitivity and Permeability 335B.7 Metals 337
Bibliography 341Index 349
What People are Saying About This
A completely unique and unified treatment of wave propagation in electronic and electromagnetic systems. For a first-year graduate student studying either electromagnetics or solid-state physics, this will be a very educational and important reference. The book is extremely friendly for students working through the subject for the first time.
— David R. Smith, Duke University
To my knowledge, this is the first time an attempt has been made to bring together the application of the transfer matrix method in the variety of applications pertaining to wave propagation both in electrons and photons. It is suitable as a textbook or reference for graduate students as well as any researcher working in the field of wave propagation. The authors have done a commendable job.
— Vinod Menon, Queens College, City University of New York
We live in an age transformed by the technologies of the electron and the photon. This book, written by two world experts, presents in a clear and unified fashion the physics underlying these dual revolutions. It is highly recommended for students from senior undergraduate level on up to experts in wave science.
— Ross McPhedran, University of Sydney
"This book provides a valuable introduction to wave propagation, taking as its central theme the transfer matrix approach which has proved to be flexible in its application to a variety of problems, ranging from the electronic band structure of solids to studies of photonic crystals. This work is timely because of the need to document new advances in this active area of research. The authors are among the leaders in the field and it is gratifying to see their combined experience distilled for the benefit of a new generation of students."—J. B. Pendry, Imperial College London"We live in an age transformed by the technologies of the electron and the photon. This book, written by two world experts, presents in a clear and unified fashion the physics underlying these dual revolutions. It is highly recommended for students from senior undergraduate level on up to experts in wave science."—Ross McPhedran, University of Sydney"A completely unique and unified treatment of wave propagation in electronic and electromagnetic systems. For a first-year graduate student studying either electromagnetics or solid-state physics, this will be a very educational and important reference. The book is extremely friendly for students working through the subject for the first time."—David R. Smith, Duke University"To my knowledge, this is the first time an attempt has been made to bring together the application of the transfer matrix method in the variety of applications pertaining to wave propagation both in electrons and photons. It is suitable as a textbook or reference for graduate students as well as any researcher working in the field of wave propagation. The authors have done a commendable job."—Vinod Menon, Queens College, City University of New York
This book provides a valuable introduction to wave propagation, taking as its central theme the transfer matrix approach which has proved to be flexible in its application to a variety of problems, ranging from the electronic band structure of solids to studies of photonic crystals. This work is timely because of the need to document new advances in this active area of research. The authors are among the leaders in the field and it is gratifying to see their combined experience distilled for the benefit of a new generation of students.
— J. B. Pendry, Imperial College London