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535.13

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Electromagnetism --- Data processing. --- Mathematical models. --- 535.13 --- Electromagnetics --- Magnetic induction --- Magnetism --- Metamaterials --- 535.13 Electromagnetic theory (Maxwell) --- Electromagnetic theory (Maxwell) --- Data processing --- Mathematical models

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This book deals with the mathematical analysis and the numerical approximation of time-harmonic eddy current problems. It is self-contained and suitable for mathematicians and engineers working in the field, and also accessible for beginners. Depending on the choice of the physical unknowns, these problems are formulated in different variational ways, with specific attention to the topology of the computational domain. Finite elements of nodal or edge type are used for numerical approximation, and a complete analysis of convergence is performed. A specific feature of the book is the emphasis given to saddle-point formulations in terms of the magnetic and electric fields. New results for voltage or current intensity excitation problems are also presented.

Partial differential equations --- Mathematical analysis --- Mathematics --- Planning (firm) --- Computer. Automation --- differentiaalvergelijkingen --- analyse (wiskunde) --- computers --- informatica --- mathematische modellen --- wiskunde --- Eddy currents (Electric) --- Harmonic analysis --- Time-series analysis --- 535.13 --- 535.13 Electromagnetic theory (Maxwell) --- Electromagnetic theory (Maxwell) --- Analysis of time series --- Autocorrelation (Statistics) --- Mathematical statistics --- Probabilities --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Bessel functions --- Fourier series --- Harmonic functions --- Electric currents --- Mathematical models

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Electromagnetic & Optical Pulse Propagation presents a systematic treatment of the radiation and propagation of transient electromagnetic and optical wave fields (such as those used in ultrawideband radar and communications sysyems as well as in ultrashort pulsed optics) through causal, locally linear media which exhibit both temporal dispersion and absorption. Volume I presents a detailed, rigorous development of the fundamental theory of both time and frequency-domain electromagnetics, beginning with the classical Maxwell-Lorentz theory of microscopic electromagnetic fields and ist invariance in the special theory of relativity, the correlation of the microscopic and macroscopic fields, and the angular spectrum representation of pulsed radiation fields in causally dispersive media. The theory provides a rigorous framework for applied research treating temporally pulsed wave fields in dielectric, conducting and semiconducting materials. Volume II presents the asymptotic description of specific pulsed wave fields in both Debye and Lorentz model dielectrics, Drude model conductors and composite model semiconductors.

Electromagnetic theory. --- Wave-motion, Theory of. --- Electromagnetic waves. --- Théorie électromagnétique --- Théorie du mouvement ondulatoire --- Ondes électromagnétiques --- 535.12 --- 535.13 --- Wave theory (Huyghens, Fresnel). Wavelength. Frequency. Wave number --- Electromagnetic theory (Maxwell) --- 535.13 Electromagnetic theory (Maxwell) --- 535.12 Wave theory (Huyghens, Fresnel). Wavelength. Frequency. Wave number --- Physics. --- Optics. --- Electrodynamics. --- Microwaves. --- Optical engineering. --- Optics and Electrodynamics. --- Microwaves, RF and Optical Engineering. --- Classical Electrodynamics. --- Hertzian waves --- Electric waves --- Electromagnetic waves --- Geomagnetic micropulsations --- Radio waves --- Shortwave radio --- Dynamics --- Physics --- Light --- Mechanical engineering --- Electromagnetism. --- Electromagnetics --- Magnetic induction --- Magnetism --- Metamaterials

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This book considers problems of optimization arising in the design of electromagnetic radiators and receivers. The authors develop a systematic general theory that can be applied to a wide class of structures. The theory is illustrated with familiar, simple examples and indications of how the results can be applied to more complicated structures. The final chapter introduces techniques from multicriteria optimization in antenna design. The material is intended for a dual audience of mathematicians and theoretically-inclined engineers. References to both the mathematics and engineering literature help guide the reader through the necessary mathematical background.

Maxwell equations --- Mathematical optimization. --- Antennas (Electronics) --- Equations de Maxwell --- Optimisation mathématique --- Antennes (Electronique) --- Numerical solutions. --- Design and construction. --- Solutions numériques --- Design et construction --- 535.13 --- Electromagnetic theory (Maxwell) --- Antennas (Electronics) -- Design and construction. --- Maxwell equations -- Numerical solutions. --- Engineering & Applied Sciences --- Applied Mathematics --- Mathematical optimization --- Physics --- Physical Sciences & Mathematics --- Electricity & Magnetism --- Numerical solutions --- Design and construction --- 535.13 Electromagnetic theory (Maxwell) --- Physics. --- Applied mathematics. --- Engineering mathematics. --- Computer mathematics. --- Atoms. --- Microwaves. --- Optical engineering. --- Atomic, Molecular, Optical and Plasma Physics. --- Applications of Mathematics. --- Computational Mathematics and Numerical Analysis. --- Optimization. --- Appl.Mathematics/Computational Methods of Engineering. --- Microwaves, RF and Optical Engineering. --- Numerical analysis --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Electronic apparatus and appliances --- Mathematics. --- Computer science --- Mathematical and Computational Engineering. --- Chemistry, Physical and theoretical --- Matter --- Stereochemistry --- Mechanical engineering --- Hertzian waves --- Electric waves --- Electromagnetic waves --- Geomagnetic micropulsations --- Radio waves --- Shortwave radio --- Computer mathematics --- Electronic data processing --- Mathematics --- Engineering --- Engineering analysis --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Constitution --- Molecules. --- Telecommunication. --- Atomic, Molecular and Chemical Physics. --- Mathematical and Computational Engineering Applications. --- Microwaves, RF Engineering and Optical Communications. --- Data processing.