an introduction to maxwell s equations

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A Student S Guide To Maxwell S Equations

Author : Daniel Fleisch
ISBN : 1139468472
Genre : Science
File Size : 73. 18 MB
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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 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

Maxwell S Equations

Author : Paul G. Huray
ISBN : 9780470549902
Genre : Science
File Size : 22. 17 MB
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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.

Introduction To Optical Waveguide Analysis

Author : Kenji Kawano
ISBN : 0471465208
Genre : Science
File Size : 77. 87 MB
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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.

Introduction To Maxwells Equations

Author : John Bolton
ISBN : 0749269855
Genre : Electromagnetism
File Size : 31. 72 MB
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This book will bring together the introductory ideas about electromagnetism from S207 and the mathematical techniques met in MST207, and show how the synthesis of the two leads to a more powerful and complete understanding of both. It will show how the language of mathematics, and vector calculus in particular, provides a concise framework for description of basic electromagnetic phenomena and the complex spatial relationships that are implicit in them. It will also use the physical phenomena to give meaning to mathematical ideas and techniques that may have been previously encountered in a more abstract context. The endpoint of the book will be Maxwell's equations for a vacuum, expressed as vector equations.The book will include many opportunities for revision and consolidation of the important basic concepts and techniques, and should provide a sound foundation on which to build your knowledge of this subject.It is recommended that you purchase DVD1 (order code SMT359/DVDR01) with this book.Network Licences:Multi-user licences are not available for our DVD-ROMs. However, multiple copies of the same DVD-ROM may be bought at a discounted price. Please contact OUW Ltd for details.

Time Domain Finite Element Methods For Maxwell S Equations In Metamaterials

Author : Jichun Li
ISBN : 9783642337895
Genre : Computers
File Size : 41. 7 MB
Format : PDF
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The purpose of this book is to provide an up-to-date introduction to the time-domain finite element methods for Maxwell’s equations involving metamaterials. Since the first successful construction of a metamaterial with both negative permittivity and permeability in 2000, the study of metamaterials has attracted significant attention from researchers across many disciplines. Thanks to enormous efforts on the part of engineers and physicists, metamaterials present great potential applications in antenna and radar design, sub-wavelength imaging, and invisibility cloak design. Hence the efficient simulation of electromagnetic phenomena in metamaterials has become a very important issue and is the subject of this book, in which various metamaterial modeling equations are introduced and justified mathematically. The development and practical implementation of edge finite element methods for metamaterial Maxwell’s equations are the main focus of the book. The book finishes with some interesting simulations such as backward wave propagation and time-domain cloaking with metamaterials.

The Mathematical Theory Of Time Harmonic Maxwell S Equations

Author : Andreas Kirsch
ISBN : 9783319110868
Genre : Mathematics
File Size : 48. 2 MB
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This book gives a concise introduction to the basic techniques needed for the theoretical analysis of the Maxwell Equations, and filters in an elegant way the essential parts, e.g., concerning the various function spaces needed to rigorously investigate the boundary integral equations and variational equations. The book arose from lectures taught by the authors over many years and can be helpful in designing graduate courses for mathematically orientated students on electromagnetic wave propagation problems. The students should have some knowledge on vector analysis (curves, surfaces, divergence theorem) and functional analysis (normed spaces, Hilbert spaces, linear and bounded operators, dual space). Written in an accessible manner, topics are first approached with simpler scale Helmholtz Equations before turning to Maxwell Equations. There are examples and exercises throughout the book. It will be useful for graduate students and researchers in applied mathematics and engineers working in the theoretical approach to electromagnetic wave propagation.

Electricity And Magnetism For Mathematicians

Author : Thomas A. Garrity
ISBN : 9781107078208
Genre : Mathematics
File Size : 63. 33 MB
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Maxwell's equations have led to many important mathematical discoveries. This text introduces mathematics students to some of their wonders.

A Student S Guide To Waves

Author : Daniel Fleisch
ISBN : 9781107054868
Genre : Science
File Size : 37. 26 MB
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Written to complement course textbooks, this book focuses on the topics that undergraduates in physics and engineering find most difficult.

A Student S Guide To Vectors And Tensors

Author : Daniel A. Fleisch
ISBN : 9781139503945
Genre : Science
File Size : 31. 36 MB
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Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and their algebra are reviewed on the book's supporting website, which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained by the author.

From Maxwell S Equations To Free And Guided Electromagnetic Waves

Author : Manuel Quesada-Pérez
ISBN : 1631174533
Genre : Science
File Size : 30. 21 MB
Format : PDF, ePub
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Maxwell's equations and the discovery of electromagnetic waves changed the world. Can you imagine how our everyday life would be without telephone, radio, television, mobile phones and internet? It's thanks to Maxwell's equations that we understand what electromagnetic waves are and how they are generated, propagated and detected. These equations can even change our perception of nature when they are really understood, but their power and elegance is completely appreciated when they are expressed in differential form. Moreover, this form is extremely useful dealing with some issues, such as the propagation of electromagnetic waves.

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