Wave Propagation
-
Peter Markos
and Costas M. Soukoulis
About this book
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, left-handed 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 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.
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Frontmatter
i -
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Contents
v -
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Preface
ix -
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1 Transfer Matrix
1 -
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2 Rectangular Potentials
28 -
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3 δ-Function Potential
56 -
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4 Kronig-Penney Model
74 -
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5 Tight Binding Model
98 -
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6 Tight Binding Models of Crystals
120 -
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7 Disordered Models
137 -
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8 Numerical Solution of the Schrödinger Equation
173 -
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9 Transmission and Reflection of Plane Electromagnetic Waves on an Interface
181 -
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10 Transmission and Reflection Coefficients for a Slab
205 -
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11 Surface Waves
225 -
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12 Resonant Tunneling through Double-Layer Structures
243 -
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13 Layered Electromagnetic Medium: Photonic Crystals
249 -
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14 Effective Parameters
275 -
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15 Wave Propagation in Nonlinear Structures
286 -
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16 Left-Handed Materials
298 -
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Appendix A. Matrix Operations
321 -
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Appendix B. Summary of Electrodynamics Formulas
327 -
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Bibliography
341 -
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Index
349