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FDTD Modeling of Metamaterials: Theory and Applications
Yang Hao, University of London and Raj Mittra, Pennsylvania State University
ISBN 978-1-59693-160-2
Copyright 2008
Pages: 360
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Master powerful new modeling tools that let you quantify and represent metamaterial properties with never-before accuracy. This first-of-its-kind book brings you up to speed on breakthrough finite-difference time-domain techniques for modeling metamaterial characteristics and behaviors in electromagnetic systems. This practical resource comes complete with sample FDTD scripts to help you pave the way to new metamaterial applications and advances in antenna, microwave, and optics engineering.

You get in-depth coverage of state-of-the-art FDTD modeling techniques and applications for electromagnetic bandgap (EBG) structures, left-handed metamaterials (LHMs), wire medium, metamaterials for optics, and other practical metamaterials. You find steps for computing dispersion diagrams, dealing with material dispersion properties, and verifying the left-handedness. Moreover, this comprehensive volume offers guidance for handling the unique properties possessed by metamaterials, including how to define material parameters, characterize the interface of metamaterial slabs, and quantify their spatial as well as frequency dispersion characteristics. The book also presents conformal and dispersive FDTD modeling of electromagnetic cloaks, perfect lens, and plasmonic waveguides, as well as other novel antenna, microwave, and optical applications. Over 190 illustrations support key topics throughout the book.

Introduction—What are Electromagnetic Metamaterials? A Historical Overview Of Electromagnetic Metamaterials. Numerical Modeling of Electromagnetic Metamaterials. Layout of Book.

Fundamentals and Applications of Metamaterials—Introduction. Bloch’s Theorem and the Dispersion Diagram. An Overview of Numerical Methods for Modeling EBG Structures. An Overview of EBG Applications. Summary.

A Brief Introduction to the FDTD Method for Modeling Metamaterials—Introduction. Formulations of the Yee’s FDTD Algorithm. Courant Stability Condition (CFL condition). Other Spatial Domain Discretization Schemes. Boundary Conditions. Band Gap Calculation. Summary.

FDTD Modeling of EBGs and their Applications—Introduction. FDTD Modeling of In?nite Electromagnetic Bandgap Structures. Conformal FDTD Modeling of (Semi-)Finite EBG Structures. Design and Modeling of Millimetrewave EBG Antennas. Conclusions.

Left-Handed Metamaterials (LHMs) and Their Applications—Introduction. Effective Medium Theory and Left-handed Metamaterials. Applications of Left-Handed Metamaterials.

Numerical Modeling of Left-Handed Material (LHM) using Dispersive FDTD—Introduction. The Effective Medium of Left-Landed Materials (LHM). Modeling of Left-Handed Metamaterials using Dispersive FDTD. Conclusions.

FDTD Modeling and Figure-of-Merit (FOM) Analysis of Practical Metamaterials—Introduction. EM Response of the In?nite, Doubly-Periodic DNG Slab with Plane Wave Illumination. Retrieval of Effective Material Constitutive Parameters Using the Inversion Approach. EM Response of a Finite Arti?cial-DNG Slab with Localized Beam Illumination. Figure-of-Merit (FOM) Analysis. Conclusions.

Accurate FDTD Modeling of A Perfect Lens—Introduction. Dispersive FDTD Modeling of LHMs with Spatial Averaging at the Boundaries. Numerical Implementation. Effects of Material Parameters on the Accuracy of Numerical Simulation. Effects of Switching Time. Effects of Transverse Dimensions on Image Quality. Modeling of Sub-wavelength Imaging. Conclusions.

Spatially Dispersive FDTD Modeling of Wire Medium—Introduction. Spatial Dispersion in Wire Medium. Spatially Dispersive FDTD Formulations. Stability and Numerical Dispersion Analysis. Perfectly Matched Layer for Wire Medium Slabs. Numerical Thickness of Wire Medium Slabs. Two-Dimensional FDTD Simulations. Three-Dimensional FDTD Simulations. Experimental Veri?cations. Internal Imaging by Wire Medium Slabs. Conclusions.

FDTD Modeling of Metamaterials for Optics—Introduction. Dispersive FDTD Modeling of Silver-dielectric Layered Structure for Sub-wavelength Imaging. A Metamaterial Scanning Near Field Optical Microscope. FDTD Study of Guided Modes in Nano-plasmonic Waveguides. FDTD Calculation of Dispersion Diagrams. FDTD Modeling of Electromagnetic Cloaking Structures.

Overviews and Final Remarks—Introduction. Overview of Advantages and Disadvantages of the FDTD Method in Modeling Metamaterials. Overview of Metamaterial Applications and Final Remarks.

Yang Hao is a professor at Queen Mary College, University of London, UK. He is co-editor of Antennas and Radio Propagation for Body-Centric Wireless Communications (Artech House, 2006), and serves as an associate editor for IEEE Antennas and Wireless Propagation Letters and a guest editor for IEEE Transactions on Antennas and Propagation. He has published over 200 technical papers and has been an invited and keynote speaker at many international conferences. He earned his Ph.D. in computational electromagnetics at the University of Bristol, UK.

Raj Mittra is a professor in the Department of Electrical Engineering at Pennsylvania State University, where he is also director of the Electromagnetic Communication Laboratory. He has published over 700 journal papers and more than 35 books or book chapters on various topics related to electromagnetics, antennas, and microwaves. He is a Life Fellow of the IEEE, a past-president of the IEEE Antennas and Propagation Society, and a former editor of the Transactions of the Antennas and Propagation Society.

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