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Book Cover
E-book
Author Felbacq, Didier, author

Title Metamaterials Modelling and Design
Published Singapore : Pan Stanford Publishing Dec. 2016

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Description 1 online resource
Contents Halftitle; Title; Copyright; Table of Contents; Preface; Section I: Elements of Electromagnetic Fields in Media; 1. General Introduction; 1.1 Maxwell Equations; 1.1.1 Potential and Gauge Invariance; 1.2 Maxwell Equations in the Fourier Domain; 1.3 Field Created by Sources; 1.4 Conservation Laws; 1.5 A Framework with Differential Forms; 1.6 Dispersion Relations; 1.6.1 Introduction; 1.6.2 Causality and Kramers-Kronig Relations; 1.6.3 Super-Convergence and Sum Rules; 1.6.4 Dispersion Relations Versus Mixing Laws; 1.6.5 Group Velocity
2. A Review of Natural Materials and Properties in Micro-Waves and Optics2.1 Introduction; 2.2 Metals and Non-Metals; 2.3 Examples of Band Structures for Monovalent Elemental Metals; 2.4 Band Structures of Cubic Semiconductors; 2.5 Semi-Classical Theory of the Dielectric Function in Crystals; 2.5.1 Intuitive Description; 2.5.2 Microscopic Theory of the Dielectric Constant; 2.5.3 Experimental Values of the Spectral Dependence of the Dielectric Constants of Semiconductors and Metals; 2.6 Excitonic Effects; 2.7 Influence of Doping and Alloying; 2.8 Conclusion
3. From Microphysics to Mesophysics: Obtaining Effective Properties from Microscopic Behaviors3.1 Metamaterials and Scales; 3.2 Averaging-Time and Space; 3.2.1 The Spatial Average as Truncation; 3.3 Polarizability and Susceptibility; 3.3.1 The Master Equations: Electric and Magnetic; 3.4 Permittivity and Permeability: Index and Impedance; 3.4.1 The Negative Index of Refraction; 3.5 Periodic Media: Structural Nonlocality; 3.6 Conductors: Free Charge Nonlocality; 3.6.1 The Hydrodynamic Model; 3.7 Summary; 4. Transformation Optics in a Nutshell; 4.1 Transformation Optics
4.1.1 Geometrical Background4.1.2 Change of Coordinates in Maxwell's Equations; 4.1.3 Geometric Transformation: Equivalent Material Principle; 4.1.4 Cylindrical Devices; 4.2 Superlens Illusion; 4.3 Cylindrical Cloaks of Arbitrary Cross Section; 4.4 Generalized Cloaking; 4.5 Numerical Modeling; Section II: general methods: Waves in Periodic Media; 5. Propagation in Periodic Media: Bloch Waves and Evanescent Waves; 5.1 Bloch Wave Theory; 5.1.1 The Periodic Structure; 5.1.2 Waves in a Homogeneous Space; 5.1.3 Bloch Modes; 5.2 Computation of Band Structures; 5.2.1 Two-Dimensional Metamaterials
5.3 Periodic Waveguides5.3.1 Bloch Modes; 5.3.2 The Bloch Conditions; 5.3.3 A Numerical Example; 5.3.4 Direct Determination of the Periodic Part; 5.4 Evanescent Waves; 5.4.1 Introduction; 5.4.2 Propagating and Non-Propagating Modes; 5.4.3 Analysis of the Spectrum; 5.4.3.1 Decomposition of the field; 5.4.3.2 Cut wavelengths and classification of the conduction bands; 6. Scattering Problems: Numerical Methods (FEM, Multiple Scattering); 6.1 Finite Element Method; 6.1.1 Introduction; 6.1.2 Theoretical Developments; 6.1.2.1 Set up of the problem and notations
Audience Trade Pan Stanford Publishing
Form Electronic book
Author Bouchitte, Guy, author
ISBN 9789814316125
9814316121