Electromagnetic Field Theory for Engineers and Physicists
This established, didactically excellent textbook unifies intuitiveness with extraordinary precision of its terminology and the derivation of concepts. It was developed as manuscript to teach students in electrical engineering, and has served to do so for
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G¨unther Lehner
Electromagnetic Field Theory for Engineers and Physicists
Translated by Matt Horrer
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Prof. Dr.rer.nat. G¨unther Lehner (em.) Universit¨at Stuttgart Fak.05 Informatik, Elektrotechnik und Informationstechnik Pfaffenwaldring 47 70569 Stuttgart Translator Matt Horrer Raleigh North Carolina USA [email protected]
ISBN 978-3-540-76305-5 e-ISBN 978-3-540-76306-2 DOI 10.1007/978-3-540-76306-2 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2009943738 c Springer-Verlag Berlin Heidelberg 2010 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: eStudio Calamar S.L. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
The Author’s Preface This book deals with the fundamental principles of electrodynamics, i .e. the theory of electromagnetic fields as given by Maxwell's equations. It is an outgrowth from the lectures, which the author has been giving to the students of electrical engineering at the University of Stuttgart, Germany, for approximately a quarter of a century. For the textbook, the contents of the lectures have been supplemented by a chapter on numerical methods for the solution of boundary and initial value problems, which provides a rough first survey over the methods available only, without going into details. Furthermore, there are several appendices devoted to some more special topics, as among others to the problem of the possibility of an extremely small but nonzero restmass of the photon, which would lead to Proca’s equations, a modified version of Maxwell’s equations; to the important question of eventually existing magnetic monopoles; to the deeper meaning of the electromagnetic potentials in view of quantum mechanics and the BohmAharonov-effects. The last appendix covers a brief survey of special relativity, because this, in principle, is an essential part of electrodynamics, which is inevitably needed for its real understanding. The treatment is based on Maxwell’s equations from the beginning. They are described and explained in Chapter 1. The following chapters are devoted to electrostatics; to the important mathematical tools of electromagnetic field theory (method of separation of variables using
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