An Introduction to Electromagnetic Inverse Scattering

to Electromagnetic Inverse Scattering by K. I. Hopcraft Department of Theoretical Mechanics, University of Nottingham, Nottingham, U. K. and P. R. Smith Department of Electronic and Electrical Engineering, University of Technology, Loughborough, U. K. Springer-Science+Business Media, B. V. Library of Congress Cataloging-in-Publication Data Hopcraft, K. I. An lntroductlon to electromagnetic inverse scattering I by K. I. Hopcraft and P. R. Smith. p. cm. -- (Developments in electromagnetic theory and application ; 7) Includes blbliographical references and index. ISBN 978·90·481·4070·1 1. Electromagnetic waves--Scattering. 2. Inverse scattering transform. I. Smith, P. R. , Ph. D. II. Title. III. Series: DevelopNents in electromagnetic theory and applications ; 7. OC665. S3H67 1992 539. 2--dc20 92-23966 ISBN 978-90-481-4070-1 ISBN 978-94-015-8014-4 (eBook) DOI 10. 1007/978-94-015-8014-4 AH Rights Reserved © 1992 Springer Science+Business Media Dordrecht OriginaHy published by Kluwer Academic Publishers in 1992 Softcover reprint of the hardcover Ist edition 1992 No part ofthe material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner. Contents (;Iossary . . . . . . . . . . •. . •. ••. . . . . . •. . . . . . . . . . . . . . . •. . •. •••. •. . . . ••••. . . . . . . ••. . . . • ix I'reface •••••••••••••. . ••••. ••. •. •••••••••••••••••••••••••••••••••••••••••••••••• xi 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 1 What is inverse scattering? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 2 Why study inverse scattering? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1. 3 An historical sketch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1. 4 How to solve inverse problems . . . . . . . . . . . . . . . . . •. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Definitions and terminology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Electromagnetic wave equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .