Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
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 perm
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Jichun Li
Yunqing Huang
Time-Domain Finite Element Methods for Maxwell’s Equations in Metamaterials
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Jichun Li Mathematical Sciences University of Nevada Las Vegas Las Vegas Nevada USA
Yunqing Huang Xiangtan University Xiangtan Hunan China, People’s Republic
ISSN 0179-3632 ISBN 978-3-642-33788-8 ISBN 978-3-642-33789-5 (eBook) DOI 10.1007/978-3-642-33789-5 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2012953285 Mathematics Subject Classification (2010): 65N30, 65L05, 65N15, 65F10, 35L15, 78M10, 78M05 c Springer-Verlag Berlin Heidelberg 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
Electromagnetic metamaterials are artificially structured composite materials that exhibit a frequency band where the effective index of refraction becomes negative. Since the successful construction of such metamaterials in 2000, the study of metamaterials has attracted great attention of researchers across many disciplines. There is currently an enormous effort in the electrical engineering, material science, physics, and optics communities to come up with various ways of constructing efficient metamaterials and using them for potentially revolutionary ap
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