Optimization Methods in Electromagnetic Radiation
This book considers problems of optimization arising in the design of electromagnetic radiators and receivers. The authors develop a systematic general theory that can be applied to a wide class of structures. The theory is illustrated with familia
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Springer New York Berlin Heidelberg Hong Kong London Milan Paris
Tokyo
Thomas S. Angell
Andreas Kirsch
Optimization Methods in Electromagnetic Radiation
With 78 Illustrations
Springer
Thomas S. Angell Department of Mathematical Sciences University of Delaware Newark, DE 19716 USA [email protected]
Andreas Kirsch Mathematics Institute II University of Karlsruhe Englerstr 2. D-76128 Karlsruhe Germany [email protected]
Mathematics Subject Classification (2000): 78M50, 65K1O, 93B99, 47N70, 35Q60, 35105 Library of Congress Cataloging-in-Publication Data Angell, Thomas S. Optimization methods in electromagnetic radiation / Thomas S. Angell, Andreas Kirsch. p. cm. - (Springer monographs in mathematics) Includes bibliographical references and index. 1. Maxwell equations-Numerical solutions. 2. Mathematical optimization. 3. Antennas (Electronics)-Design and construction. I. Kirsch, Andreas, 1953- II. Title. III. Series. QC670.A54 2003 2003065726 530. 14'I-dc22 ISBN 978-1-4419-1914-4
ISBN 978-0-387-21827-4 (eBook)
DOl 10.1007/978-0-387-21827-4 © 2004 Springer-Verlag New York, Inc. Softcover reprint of the hardcover 1st edition 2004 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer-Verlag New York, Inc., 175 Fifth Avenue, New York, NY 10010, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights.
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SPIN 10951989
Typesetting: Pages created by the authors in LaTeX2e using Springer's SVMono.c1s macro. www.springer-ny.com Springer-Verlag New York Berlin Heidelberg A member of BertelsmannSpringer Science+Business Media GmbH
Contents
Preface ........................................................ IX 1
2
Arrays of Point and Line Sources, and Optimization. . . . . . . 1.1 The Problem of Antenna Optimization. . . . . . . . . . . . . . . . . . . . . 1.2 Arrays of Point Sources .................................. 1.2.1 The Linear Array ................................. 1.2.2 Circular Arrays ................................... 1.3 Maximization of Directivity and Super-gain. . . . . . . . . . . . . . . .. 1.3.1 Directivity and Other Measures of Performance. . . . . .. 1.3.2 Maximization of Directivity. . . . . . . . . . . . . . . . . . . . . . . .. 1.4 Dolph-Tschebysheff Arrays ............................... 1.4.1 Tschebysheff Polynomials. . . . . . . . . . . . . . . . . . . . . . . . . .. 1.4.2 The Dolph Problem ............................... 1.5 Line Sources. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
