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Maxwell's Equations and Their Consequences

Author : B. H. Chirgwin
Publisher : Elsevier
Page : 171 pages
File Size : 24,99 MB
Release : 2013-10-22
Category : Science
ISBN : 1483156400

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Elementary Electromagnetic Theory Volume 3: Maxwell’s Equations and their Consequences is the third of three volumes that intend to cover electromagnetism and its potential theory. The third volume considers the implications of Maxwell's equations, such as electromagnetic radiation in simple cases, and its relation between Maxwell's equation and the Lorenz transformation. Included in this volume are chapters 11-14, which contain an in-depth discussion of the following topics: • Electromagnetic Waves • The Lorentz Invariance of Maxwell's Equation • Radiation • Motion of Charged Particles Intended to serve as an introduction to electromagnetism and potential theory, the book is for second, third, and fourth year undergraduates of physics and engineering, as they are included in their course of study. Do note that the authors assume that the readers are conversant with the basic ideas of vector analysis, including vector integral theorems.

A Dynamical Theory of the Electromagnetic Field

Author : James C. Maxwell
Publisher : Wipf and Stock Publishers
Page : 119 pages
File Size : 46,93 MB
Release : 1996-12-03
Category : Religion
ISBN : 1579100155

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"We owe Clerk Maxwell the precise formulation of the space-time laws of electromagnetic fields. Imagine his own feelings when the partial differential equations he formulated spread in the form of polarized waves with the speed of light! This change in the understanding of the structure of reality is the most profound and fruitful that has come to physics since Newton."--Albert Einstein

A Student's Guide to Maxwell's Equations

Author : Daniel Fleisch
Publisher : Cambridge University Press
Page : 129 pages
File Size : 48,27 MB
Release : 2008-01-10
Category : Science
ISBN : 1139468472

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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.

Maxwell Equation: Inverse Scattering In Electromagnetism

Author : Hiroshi Isozaki
Publisher : World Scientific
Page : 300 pages
File Size : 19,48 MB
Release : 2018-07-12
Category : Science
ISBN : 9813232714

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How can one determine the physical properties of the medium or the geometrical properties of the domain by observing electromagnetic waves? To answer this fundamental problem in mathematics and physics, this book leads the reader to the frontier of inverse scattering theory for electromagnetism.The first three chapters, written comprehensively, can be used as a textbook for undergraduate students. Beginning with elementary vector calculus, this book provides fundamental results for wave equations and Helmholtz equations, and summarizes the potential theory. It also explains the cohomology theory in an easy and straightforward way, which is an essential part of electromagnetism related to geometry. It then describes the scattering theory for the Maxwell equation by the time-dependent method and also by the stationary method in a concise, but almost self-contained manner. Based on these preliminary results, the book proceeds to the inverse problem for the Maxwell equation.The chapters for the potential theory and elementary cohomology theory are good introduction to graduate students. The results in the last chapter on the inverse scattering for the medium and the determination of Betti numbers are new, and will give a current scope for the inverse spectral problem on non-compact manifolds. It will be useful for young researchers who are interested in this field and trying to find new problems.

Maxwell on the Electromagnetic Field

Author : Thomas K. Simpson
Publisher : Rutgers University Press
Page : 468 pages
File Size : 37,99 MB
Release : 1997
Category : Biography & Autobiography
ISBN : 9780813523637

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Reproduces major portions of Maxwell's classic papers on key concepts in modern physics, written between 1855 and 1864, along with commentaries, notes, and bandw diagrams. Includes a detailed biographical introduction exploring the personal, historical, and scientific context of his work. Designed to be accessible to readers with limited knowledge of math or physics, as well as scientists and historians of science. Annotation copyright by Book News, Inc., Portland, OR

Extended Electromagnetic Theory

Author : Bo Lehnert
Publisher : World Scientific
Page : 180 pages
File Size : 33,55 MB
Release : 1998
Category : Science
ISBN : 9789810233952

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This book presents extended forms of the Maxwell equations as well as electromagnetic fields, based on a non-zero divergence of the electric field and a non-zero electric conductivity in vacuo. These approaches, which predict new features of the electromagnetic field, such as the existence of both longitudinal and transverse solutions, the existence of space-charge current in vacuo, and steady electromagnetic equilibria, have possible applications to charge and neutral leptons and new photon physics. The present theory can also clear up some unsolved problems, such as the total reflection of light at the interface between a vacuum and a dissipative medium, and the appearance of an angular momentum of the photon, thereby leading to a rest mass and an axial magnetic field component of the photon. This axial magnetic field component may be related to the B(3) field proposed by Evans and Vigier. A new gauge condition has been proposed to maintain consistency of the theory with the non-zero photon mass. Several consequences of the non-zero mass of the photon are also discussed, especially in the astrophysical context.