Maxwell's Equations

Author: Paul G. Huray

Publisher: John Wiley & Sons

ISBN: 0470549904

Category: Science

Page: 312

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An authoritative view of Maxwell's Equations that takes theory to practice Maxwell's Equations is a practical guide to one of the most remarkable sets of equations ever devised. Professor Paul Huray presents techniques that show the reader how to obtain analytic solutions for Maxwell's equations for ideal materials and boundary conditions. These solutions are then used as a benchmark for solving real-world problems. Coverage includes: An historical overview of electromagnetic concepts before Maxwell and how we define fundamental units and universal constants today A review of vector analysis and vector operations of scalar, vector, and tensor products Electrostatic fields and the interaction of those fields with dielectric materials and good conductors A method for solving electrostatic problems through the use of Poisson's and Laplace's equations and Green's function Electrical resistance and power dissipation; superconductivity from an experimental perspective; and the equation of continuity An introduction to magnetism from the experimental inverse square of the Biot-Savart law so that Maxwell's magnetic flux equations can be deduced Maxwell's Equations serves as an ideal textbook for undergraduate students in junior/senior electromagnetics courses and graduate students, as well as a resource for electrical engineers.
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A Student's Guide to Maxwell's Equations

Author: Daniel Fleisch

Publisher: Cambridge University Press

ISBN: 9781139468473

Category: Science

Page: N.A

View: 5376

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Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere–Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.
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An Introduction to Electromagnetic Wave Propagation and Antennas

Author: Shane Cloude

Publisher: Springer Science & Business Media

ISBN: 9780387915012

Category: Technology & Engineering

Page: 176

View: 6407

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This highly illustrated and accessible text will be an ideal introduction to the application of electromagnetics (EM) following an initial course in basic EM theory. The book covers the well established structure of elementary EM courses, beginning with Maxwell’s equations in integral form and developing the wave equation to show the essential properties of waves. In addition to providing a grounding in this traditional curriculum, the principal concern throughout is to make difficult concepts of electromagnetism more accessible. The adoption of time domain methods for this purpose is the book’s most important breakthrough, allowing the fundamentals of applied electromagnetics to be introduced with a clarity and simplicity not available through the conventional route. Another new aspect of this book is the integration of computational modelling methods with the standard theory of electromagnetic waves. The author presents a set of example programs written in the MATLAB language to support the ideas outlined in the text. The book is organized in a logical progression of ideas, starting with the general idea of wave motion and showing how the equations of electricity and magnetism lead to the existence of electromagnetic waves through the Maxwell’s equations. These ideas are then applied to simple accelerating charge models used in the engineering design of wire antennas. The concepts of resonance and antenna impedance are then treated from a time domain point of view. To reinforce the concepts of wave propagation, a chapter on computer modelling shows the rigorous procedures required to generate accurate numerical models of wave dynamics. The author extends these ideas to consider the properties of aperture antennas, showing how their important properties can be incorporated with the basic themes introduced earlier in the book. Finally, the important topic of wave scattering is introduced, once again from the point of view of time domain concepts.
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Maxwell’s Equations and the Principles of Electromagnetism

Author: Richard Fitzpatrick

Publisher: Jones & Bartlett Publishers

ISBN: 1934015202

Category: Science

Page: 438

View: 8211

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Designed for upper division electromagnetism courses or as a reference for electrical engineers and scientists, this book introduces Maxwell’s equations and electromagnetic waves as soon as possible (i.e., in the first third of the book), and then goes on to discuss electrostatics, magnetostatics, induction, etc., in the light of those equations. The book also provides a thorough discussion of vector field theory which emphasizes the rotational invariance of the dot and cross products, together with div, grad, and curl, and thus gives a clear physical motivation for the use of those constructs to describe electric and magnetic fields. Unlike many competing books, Maxwell’s Equations & the Principles of Electromagnetism covers topics such as advanced potentials, retarded fields, forces on dielectric liquids, antenna theory, and Faraday rotations.
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An Introduction to Magnetohydrodynamics

Author: P. A. Davidson

Publisher: Cambridge University Press

ISBN: 9780521794879

Category: Mathematics

Page: 431

View: 7912

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This book is an introductory text on magnetohydrodynamics (MHD) - the study of the interaction of magnetic fields and conducting fluids.
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An Introduction to Plasma Astrophysics and Magnetohydrodynamics

Author: Marcel Goossens

Publisher: Springer Science & Business Media

ISBN: 9781402014338

Category: Science

Page: 203

View: 4963

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Most of the visible matter in the universe exists in the plasma state. Plasmas are of major importance for space physics, solar physics, and astrophysics. On Earth they are essential for magnetic controlled thermonuclear fusion. This textbook collects lecture notes from a one-semester course taught at the K.U. Leuven to advanced undergraduate students in applied mathematics and physics. A particular strength of this book is that it provides a low threshold introduction to plasmas with an emphasis on first principles and fundamental concepts and properties. The discussion of plasma models is to a large extent limited to Magnetohydrodynamics (MHD) with its merits and limitations clearly explained. MHD provides the students on their first encounter with plasmas, with a powerful plasma model that they can link to familiar classic fluid dynamics. The solar wind is studied as an example of hydrodynamics and MHD at work in solar physics and astrophysics.
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An Introduction to Identification Problems Via Functional Analysis

Author: A. Lorenzi

Publisher: VSP

ISBN: 9789067643498

Category: Mathematics

Page: 240

View: 7035

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this monographis based on two courses in computational mathematics and operative research, which were given by the author in recent years to doctorate and PhD students. The text focuses on an aspect of the theory of inverse problems, which is usually referred to as identification of parameters (numbers, vectors, matrices, functions) appearing in differential or integrodifferential equations. The parameters of such equations are either quite unknown or partially unknown, however knowledge about these is usually essential as they describe the intrinsic properties of the material or substance under consideration.
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Mathematical Models and Numerical Simulation in Electromagnetism

Author: Alfredo Bermúdez de Castro,Dolores Gomez,Pilar Salgado

Publisher: Springer

ISBN: 3319029495

Category: Mathematics

Page: 432

View: 5446

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The book represents a basic support for a master course in electromagnetism oriented to numerical simulation. The main goal of the book is that the reader knows the boundary-value problems of partial differential equations that should be solved in order to perform computer simulation of electromagnetic processes. Moreover it includes a part devoted to electric circuit theory based on ordinary differential equations. The book is mainly oriented to electric engineering applications, going from the general to the specific, namely, from the full Maxwell’s equations to the particular cases of electrostatics, direct current, magnetostatics and eddy currents models. Apart from standard exercises related to analytical calculus, the book includes some others oriented to real-life applications solved with MaxFEM free simulation software.
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An Introduction to Metamaterials and Waves in Composites

Author: Biswajit Banerjee

Publisher: CRC Press

ISBN: 1439841578

Category: Science

Page: 375

View: 5914

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Requiring no advanced knowledge of wave propagation, An Introduction to Metamaterials and Waves in Composites focuses on theoretical aspects of metamaterials, periodic composites, and layered composites. The book gives novices a platform from which they can start exploring the subject in more detail. After introducing concepts related to elasticity, acoustics, and electrodynamics in media, the text presents plane wave solutions to the equations that describe elastic, acoustic, and electromagnetic waves. It examines the plane wave expansion of sources as well as scattering from curved interfaces, specifically spheres and cylinders. The author then covers electrodynamic, acoustic, and elastodynamic metamaterials. He also describes examples of transformations, aspects of acoustic cloaking, and applications of pentamode materials to acoustic cloaking. With a focus on periodic composites, the text uses the Bloch-Floquet theorem to find the effective behavior of composites in the quasistatic limit, presents the quasistatic equations of elastodynamic and electromagnetic waves, and investigates Brillouin zones and band gaps in periodic structures. The final chapter discusses wave propagation in smoothly varying layered media, anisotropic density of a periodic layered medium, and quasistatic homogenization of laminates. This book provides a launch pad for research into elastic and acoustic metamaterials. Many of the ideas presented have yet to be realized experimentally—the book encourages readers to explore these ideas and bring them to technological maturity.
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An Introduction to the Kinetic Theory of Gases

Author: James Jeans,James S. Jeans

Publisher: CUP Archive

ISBN: 9780521092326

Category: Science

Page: 311

View: 5122

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This book can be described as a student's edition of the author's Dynamical Theory of Gases. It is written, however, with the needs of the student of physics and physical chemistry in mind, and those parts of which the interest was mainly mathematical have been discarded. This does not mean that the book contains no serious mathematical discussion; the discussion in particular of the distribution law is quite detailed; but in the main the mathematics is concerned with the discussion of particular phenomena rather than with the discussion of fundamentals.
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