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"This invaluable book provides a comprehensive framework for the formulation and solution ofnumerous problems involving the radiation, reception, propagation, and scattering of electromagnetic and acoustic waves. Filled with original derivations and theorems, it includes the first rigorous development of plane-wave expansions for time-domain electromagnetic and acoustic fields. For the past 35 years, near-field measurement techniques have been confined to the frequency domain. Now, with the publication of this book, probe-corrected near-field measurement techniques have been extended to ultra-wide-band, short-pulse transmitting and receiving antennas and transducers. By combining unencumbered straightforward derivations with in-depth expositions of prerequisite material, the authors have created an invaluable resource for research scientists and engineers in electromagnetics and acoustics, and a definitive reference on plane-wave expansions and near-field measurements. Featured topics include: * An introduction to the basic electromagnetic and acoustic field equations * A rigorous development of time-domain and frequency-domain plane-wave representations * The formulation of time-domain, frequency-domain, and static planar near-field measurement techniques with and without probe-correction * Sampling theorems and computation schemes for time-domain and frequency-domain fields * Analytic-signal formulas that simplify the formulation and analysis of transient fields * Wave phenomena, such as ``electromagnetic missiles"" encountered only in the time domain * Definitive force and power relations for electromagnetic and acoustic fields and sources." Sponsored by: IEEE Antennas and Propagation Society.
Electrical & Computer Engineering --- Electrical Engineering --- Engineering & Applied Sciences --- Antennas (Electronics) --- Electroacoustic transducers --- Electromagnetic fields --- Green's functions. --- Time-domain analysis. --- Mathematical models. --- Time-domain analysis --- Mathematical models --- Antennas (Electronics) - Mathematical models --- Electromagnetic fields - Mathematical models --- Electroacoustic transducers - Mathematical models
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This is the first comprehensive monograph that features state-of-the-art multigrid methods for enhancing the modeling versatility, numerical robustness, and computational efficiency of one of the most popular classes of numerical electromagnetic field modeling methods: the method of finite elements. The focus of the publication is the development of robust preconditioners for the iterative solution of electromagnetic field boundary value problems (BVPs) discretized by means of finite methods. Specifically, the authors set forth their own successful attempts to utilize concepts from multigrid and multilevel methods for the effective preconditioning of matrices resulting from the approximation of electromagnetic BVPs using finite methods. Following the authors' careful explanations and step-by-step instruction, readers can duplicate the authors' results and take advantage of today's state-of-the-art multigrid/multilevel preconditioners for finite element-based iterative electromagnetic field solvers. Among the highlights of coverage are: * Application of multigrid, multilevel, and hybrid multigrid/multilevel preconditioners to electromagnetic scattering and radiation problems * Broadband, robust numerical modeling of passive microwave components and circuits * Robust, finite element-based modal analysis of electromagnetic waveguides and cavities * Application of Krylov subspace-based methodologies for reduced-order macromodeling of electromagnetic devices and systems * Finite element modeling of electromagnetic waves in periodic structures The authors provide more than thirty detailed algorithms alongside pseudo-codes to assist readers with practical computer implementation. In addition, each chapter includes an applications section with helpful numerical examples that validate the authors' methodologies and demonstrate their computational efficiency and robustness. This groundbreaking book, with its coverage of an exciting new enabling computer-aided design technology, is an essential reference for computer programmers, designers, and engineers, as well as graduate students in engineering and applied physics.
Electromagnetic Fields. --- Electromagnetic fields - Mathematical models. --- Multigrid methods (Numerical analysis). --- Electromagnetic fields --- Multigrid methods (Numerical analysis) --- Electricity & Magnetism --- Electrical Engineering --- Electrical & Computer Engineering --- Physics --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Mathematical models --- Mathematical models.
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This book present the lecture notes used in two courses that the late Professor Kasra Barkeshli had offered at Sharif University of Technology, namely, Advanced Electromagnetics and Scattering Theory. The prerequisite for the sequence is vector calculus and electromagnetic fields and waves. Some familiarity with Green's functions and integral equations is desirable but not necessary. The book provides a brief but concise introduction to classical topics in the field. It is divided into three parts including annexes. Part I covers principle of electromagnetic theory. The discussion starts with a review of the Maxwell's equations in differential and integral forms and basic boundary conditions. The solution of inhomogeneous wave equation and various field representations including Lorentz's potential functions and the Green's function method are discussed next. The solution of Helmholtz equation and wave harmonics follow. Next, the book presents plane wave propagation in dielectric and lossy media and various wave velocities. This part concludes with a general discussion of planar and circular waveguides. Part II presents basic concepts of electromagnetic scattering theory. After a brief discussion of radar equation and scattering cross section, the author reviews the canonical problems in scattering. These include the cylinder, the wedge and the sphere. The edge condition for the electromagnetic fields in the vicinity of geometric discontinuities are discussed. The author also presents the low frequency Rayleigh and Born approximations. The integral equation method for the formulation of scattering problems is presented next, followed by an introduction to scattering from periodic structures. .
Engineering. --- Microwaves, RF and Optical Engineering. --- Optics and Electrodynamics. --- Microwaves. --- Ingénierie --- Micro-ondes --- Electromagnetic fields -- Mathematical models. --- Electromagnetic theory -- Data processing. --- Electromagnetism -- Data processing. --- Electromagnetism. --- Scattering (Mathematics) --- Scattering theory (Mathematics) --- Electromagnetics --- Optics. --- Electrodynamics. --- Optical engineering. --- Boundary value problems --- Differential equations, Partial --- Scattering operator --- Magnetic induction --- Magnetism --- Metamaterials --- Classical Electrodynamics. --- Hertzian waves --- Electric waves --- Electromagnetic waves --- Geomagnetic micropulsations --- Radio waves --- Shortwave radio --- Dynamics --- Physics --- Light --- Mechanical engineering
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Employed in a large number of commercial electromagnetic simulation packages, the finite element method is one of the most popular and well-established numerical techniques in engineering. This book covers the theory, development, implementation, and application of the finite element method and its hybrid versions to electromagnetics. FINITE ELEMENT METHOD FOR ELECTROMAGNETICS begins with a step-by-step textbook presentation of the finite method and its variations then goes on to provide up-to-date coverage of three dimensional formulations and modern applications to open and closed domain problems. Worked out examples are included to aid the reader with the fine features of the method and the implementation of its hybridization with other techniques for a robust simulation of large scale radiation and scattering. The crucial treatment of local boundary conditions is carefully worked out in several stages in the book. Sponsored by: IEEE Antennas and Propagation Society.
Finite element method. --- Electromagnetism. --- Engineering mathematics. --- Electromagnetic fields --- Finite element method --- Antennas (Electronics) --- Microwave circuits --- Electrons --- Electrical & Computer Engineering --- Engineering & Applied Sciences --- Electrical Engineering --- Mathematical models --- Scattering --- Microwave circuits. --- Champs électromagnétiques --- Méthode des éléments finis --- Antennes (Electronique) --- Circuits pour micro-ondes --- Mathematical models. --- Scattering. --- Modèles mathématiques --- Antennas (Electronics). --- 517.96 --- 517.96 Finite differences. Functional and integral equations --- Finite differences. Functional and integral equations --- Circuits, Microwave --- Electronic circuits --- Microwave devices --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Electron-positron scattering --- Electron scattering --- Scattering (Physics) --- Electronic apparatus and appliances --- Electromagnetic fields - Mathematical models. --- Electrons - Scattering.
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This book presents the concept of fractional dimensional space applied to the use of electromagnetic fields and waves. It demonstrates the advantages in studying the behavior of electromagnetic fields and waves in fractal media. The book presents novel fractional space generalization of the differential electromagnetic equations as well as a new form of vector differential operators in fractional space. Using these modified vector differential operators, the classical Maxwell's electromagnetic equations are worked out. The Laplace's, Poisson's and Helmholtz's equations in fractional space are derived by using modified vector differential operators.
Electromagnetic fields -- Mathematical models. --- Electromagnetic waves -- Mathematical models. --- Fractals. --- Electromagnetic fields --- Electromagnetic waves --- Fractals --- Physics --- Physical Sciences & Mathematics --- Electricity & Magnetism --- Mathematical models --- Mathematical models. --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Electromagnetic energy --- Electromagnetic radiation --- Engineering. --- Physics. --- Optics. --- Electrodynamics. --- Microwaves. --- Optical engineering. --- Microwaves, RF and Optical Engineering. --- Optics and Electrodynamics. --- Mathematical Methods in Physics. --- Mechanical engineering --- Hertzian waves --- Electric waves --- Geomagnetic micropulsations --- Radio waves --- Shortwave radio --- Dynamics --- Light --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Construction --- Industrial arts --- Technology --- Dimension theory (Topology) --- Electromagnetic theory --- Waves --- Mathematical physics. --- Classical Electrodynamics. --- Physical mathematics --- Mathematics
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"Electromagnetic Fields in Stratified Media" deals with an important branch of electromagnetic theory, which has many useful applications in subsurface communication, radar, and geophysical prospecting and diagnostics. The book introduces to the electromagnetic theory and wave propagation in complex media, while presenting detailed models for various media: 3, 4, N-layered media, boundary conditions, and anisotropic media. In particular, the complete solutions for a trapped surface wave and lateral wave in a three- or four-layered region, the complete solutions for low frequency wave propagation over a spherical surface coated with a dielectric layer, and the transient field of a horizontal dipole in the boundary layer of two different media are presented. The book is designed for the scientists and engineers engaged in antennas and propagation, EM theory and applications. Dr. Kai Li is Professor at Zhejiang University.
Electromagnetic fields -- Mathematical models. --- Electromagnetic fields --- Electrical & Computer Engineering --- Electrical Engineering --- Engineering & Applied Sciences --- Mathematical models --- Elastic wave propagation. --- Surface wave antennas. --- Electromagnetic fields. --- Fields, Electromagnetic --- Antennas, Surface wave --- Elastic waves --- Propagation of elastic waves --- Propagation --- Engineering. --- Electronics. --- Microelectronics. --- Power electronics. --- Power Electronics, Electrical Machines and Networks. --- Electronics and Microelectronics, Instrumentation. --- Magnetic fields --- Electric fields --- Antennas (Electronics) --- Wave-motion, Theory of --- Production of electric energy or. --- Electrical engineering --- Physical sciences --- Microminiature electronic equipment --- Microminiaturization (Electronics) --- Electronics --- Microtechnology --- Semiconductors --- Miniature electronic equipment --- Electronics, Power --- Electric power
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