A Student's Guide to Maxwell's Equations

Author: Daniel Fleisch

Publisher: Cambridge University Press

ISBN: 9781139468473

Category: Science

Page: N.A

View: 884

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.

An Introduction to Electromagnetic Theory

Author: P. C. Clemmow

Publisher: CUP Archive

ISBN: 9780521098151

Category: Science

Page: 297

View: 6067

First published in 1973, Dr Clemmow's Introduction to Electromagnetic Theory provides a crisp and selective account of the subject. It concentrates on field theory (with the early development of Maxwell's equations) and omits extended descriptions of experimental phenomena and technical applications, though without losing sight of the practical nature of the subject. Rationalized mks units are used and an awareness of orders of magnitude is fostered. Fields in media are discussed from both the macroscopic and microscopic points of view. As befits a mainly theoretical treatment, a knowledge of vector algebra and vector calculus is assumed, the standard results required being summarized in an appendix. Other comparatively advanced mathematical techniques, such as tensors anf those involving Legendre or Bessel functions, are avoided. Problems for solution, some 180 in all, are given at the end of each chapter.

Maxwell’s Equations and the Principles of Electromagnetism

Author: Richard Fitzpatrick

Publisher: Jones & Bartlett Publishers

ISBN: 1934015202

Category: Science

Page: 438

View: 5586

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.

An Introduction to Electromagnetic Wave Propagation and Antennas

Author: Shane Cloude

Publisher: Springer Science & Business Media

ISBN: 9780387915012

Category: Technology & Engineering

Page: 176

View: 6333

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.

Maxwell's Equations

Author: Paul G. Huray

Publisher: John Wiley & Sons

ISBN: 0470549904

Category: Science

Page: 275

View: 8370

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.

Introduction to Optical Waveguide Analysis

Solving Maxwell's Equation and the Schrödinger Equation

Author: Kenji Kawano,Tsutomu Kitoh

Publisher: John Wiley & Sons

ISBN: 9780471465201

Category: Science

Page: 296

View: 8978

A complete survey of modern design and analysis techniques for optical waveguides This volume thoroughly details modern and widely accepted methods for designing the optical waveguides used in telecommunications systems. It offers a straightforward presentation of the sophisticated techniques used in waveguide analysis and enables a quick grasp of modern numerical methods with easy mathematics. The book is intended to guide the reader to a comprehensive understanding of optical waveguide analysis through self-study. This comprehensive presentation includes: * An extensive and exhaustive list of mathematical manipulations * Detailed explanations of common design methods: finite element method (FEM), finite difference method (FDM), beam propagation method (BPM), and finite difference time-domain method (FD-TDM) * Explanations for numerical solutions of optical waveguide problems with sophisticated techniques used in modern computer-aided design (CAD) software * Solutions to Maxwell's equations and the Schrodinger equation The authors provide excellent self-study material for practitioners, researchers, and students, while also presenting detailed mathematical manipulations that can be easily understood by readers who are unfamiliar with them. Introduction to Optical Waveguide Analysis presents modern design methods in a comprehensive and easy-to-understand format.

Electromagnetic Fields and Waves

Author: Vladimir Rojansky

Publisher: Courier Corporation

ISBN: 0486147738

Category: Science

Page: 464

View: 2701

This comprehensive introduction to classical electromagnetic theory covers the major aspects, including scalar fields, vectors, laws of Ohm, Joule, Coulomb, Faraday, Maxwell's equation, and more. With numerous diagrams and illustrations.

Electricity and Magnetism for Mathematicians

Author: Thomas A. Garrity

Publisher: Cambridge University Press

ISBN: 1107078202

Category: Mathematics

Page: 304

View: 9386

Maxwell's equations have led to many important mathematical discoveries. This text introduces mathematics students to some of their wonders.

Differential Forms on Electromagnetic Networks

Author: N. V. Balasubramanian,J. W. Lynn,D. P. Sen Gupta

Publisher: Elsevier

ISBN: 1483103242

Category: Technology & Engineering

Page: 200

View: 4796

Differential Forms on Electromagnetic Networks deals with the use of combinatorial techniques in electrical circuit, machine analysis, and the relationship between circuit quantities and electromagnetic fields. The monograph is also an introduction to the organization of field equations by the methods of differential forms. The book covers topics such as algebraic structural relations in an electric circuit; mesh and node-pair analysis; exterior differential structures; generalized Stoke's theorem and tensor analysis; and Maxwell's electromagnetic equation. Also covered in the book are the applications for the field network model; oscillatory behavior of electric machines; and the rotation tensor in machine differential structures. The text is recommended for engineering students who would like to be familiarized with electromagnetic networks and its related topics.

Introduction to Classical Electrodynamics

Author: Y. K. Lim

Publisher: World Scientific

ISBN: 9789971978518

Category: Science

Page: 423

View: 3579

This book is an excellent text for undergraduates majoring in physics and engineering. The style pedagogical with clear and concise illustration followed by practise problems at the end of each chapter.

Classical Electromagnetic Radiation

Author: Jerry Marion

Publisher: Elsevier

ISBN: 0323161642

Category: Science

Page: 508

View: 8344

Classical Electromagnetic Radiation, Second Edition focuses on the classical electrodynamics with emphasis on radiation problems and the wave attributes of the electromagnetic field. This book aims to provide a modern and practically sophisticated mathematical treatment of classical electrodynamics at the undergraduate level. Organized into 13 chapters, this edition starts with an overview of the basic principles of electromagnetism. This text then presents a detailed discussion of Laplace's equation and a treatment of multiple effects, since such material is of considerable significance in the development of radiation theory. Other chapters consider the electromagnetic field equations, which are developed in the time-dependent form. This book discusses as well the subjects of wave propagation in space as well as in material media. The final chapter presents an introduction to relativistic electrodynamics. This book is a valuable resource for physicists, engineers, and readers who are interested in the applications of electrodynamics in modern physics.

A Student's Guide to Waves

Author: Daniel Fleisch,Laura Kinnaman

Publisher: Cambridge University Press

ISBN: 1107054869

Category: Science

Page: 230

View: 5793

Written to complement course textbooks, this book focuses on the topics that undergraduates in physics and engineering find most difficult.

Faraday, Maxwell, and the Electromagnetic Field

How Two Men Revolutionized Physics

Author: Nancy Forbes,Basil Mahon

Publisher: Prometheus Books

ISBN: 1616149434

Category: Science

Page: 320

View: 9174

The story of two brilliant nineteenth-century scientists who discovered the electromagnetic field, laying the groundwork for the amazing technological and theoretical breakthroughs of the twentieth century Two of the boldest and most creative scientists of all time were Michael Faraday (1791-1867) and James Clerk Maxwell (1831-1879). This is the story of how these two men - separated in age by forty years - discovered the existence of the electromagnetic field and devised a radically new theory which overturned the strictly mechanical view of the world that had prevailed since Newton's time. The authors, veteran science writers with special expertise in physics and engineering, have created a lively narrative that interweaves rich biographical detail from each man's life with clear explanations of their scientific accomplishments. Faraday was an autodidact, who overcame class prejudice and a lack of mathematical training to become renowned for his acute powers of experimental observation, technological skills, and prodigious scientific imagination. James Clerk Maxwell was highly regarded as one of the most brilliant mathematical physicists of the age. He made an enormous number of advances in his own right. But when he translated Faraday's ideas into mathematical language, thus creating field theory, this unified framework of electricity, magnetism and light became the basis for much of later, 20th-century physics. Faraday's and Maxwell's collaborative efforts gave rise to many of the technological innovations we take for granted today - from electric power generation to television, and much more. Told with panache, warmth, and clarity, this captivating story of their greatest work - in which each played an equal part - and their inspiring lives will bring new appreciation to these giants of science.


A Modern Geometric Approach

Author: William Baylis

Publisher: Springer Science & Business Media

ISBN: 9780817640255

Category: Science

Page: 380

View: 9932

The emphasis in this text is on classical electromagnetic theory and electrodynamics, that is, dynamical solutions to the Lorentz-force and Maxwell's equations. The natural appearance of the Minkowski spacetime metric in the paravector space of Clifford's geometric algebra is used to formulate a covariant treatment in special relativity that seamlessly connects spacetime concepts to the spatial vector treatments common in undergraduate texts. Baylis' geometrical interpretation, using such powerful tools as spinors and projectors, essentially allows a component-free notation and avoids the clutter of indices required in tensorial treatments. The exposition is clear and progresses systematically - from a discussion of electromagnetic units and an explanation of how the SI system can be readily converted to the Gaussian or natural Heaviside-Lorentz systems, to an introduction of geometric algebra and the paravector model of spacetime, and finally, special relativity. Other topics include Maxwell's equation(s), the Lorentz-force law, the Fresnel equations, electromagnetic waves and polarization, wave guides, radiation from accelerating charges and time-dependent currents, the Liénard-Wiechert potentials, and radiation reaction, all of which benefit from the modern relativistic approach. Numerous worked examples and exercises dispersed throughout the text help the reader understand new concepts and facilitate self-study of the material. Each chapter concludes with a set of problems, many with answers. Complete solutions are also available. An excellent feature is the integration of Maple into the text, thereby facilitating difficult calculations. To download accompanying Maple worksheets, please visit http://www.cs.uwindsor.ca/users/b/baylis

Oscillations and Waves

An Introduction, Second Edition

Author: Richard Fitzpatrick

Publisher: CRC Press

ISBN: 1351063081

Category: Science

Page: 299

View: 4171

Emphasizing physics over mathematics, this popular, classroom-tested text helps advanced undergraduates acquire a sound physical understanding of wave phenomena. This second edition of Oscillations and Waves: An Introduction contains new widgets, animations in Python, and exercises, as well as updated chapter content throughout; continuing to ease the difficult transition for students between lower-division courses that mostly encompass algebraic equations and upper-division courses that rely on differential equations. Assuming familiarity with the laws of physics and college-level mathematics, the author covers aspects of optics that crucially depend on the wave-like nature of light, such as wave optics. Examples explore discrete mechanical, optical, and quantum mechanical systems; continuous gases, fluids, and elastic solids; electronic circuits; and electromagnetic waves. The text also introduces the conventional complex representation of oscillations and waves during the discussion of quantum mechanical waves. Features: Fully updated throughout and featuring new widgets, animations, and end of chapter exercises to enhance understanding Provides a clear, concise, systematic, and comprehensive treatment of the subject matter that emphasises physics over mathematics Offers complete coverage of advanced topics in waves, such as electromagnetic wave propagation through the ionosphere Includes examples from mechanical systems, elastic solids, electronic circuits, optical systems, and other areas

Theory of Electromagnetic Wave Propagation

Author: Charles Herach Papas

Publisher: Courier Corporation

ISBN: 048614514X

Category: Science

Page: 272

View: 2031

Clear, coherent work for graduate-level study discusses the Maxwell field equations, radiation from wire antennas, wave aspects of radio-astronomical antenna theory, the Doppler effect, and more.