Optical Waveguide Theory
This text is intended to provide an in-depth, self-contained, treatment of optical waveguide theory. We have attempted to emphasize the underlying physical processes, stressing conceptual aspects, and have developed the mathematical analysis to parallel t
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Optical Waveguide Theory ALLAN W. SNYDER JOHN D. LOVE Institute of Advanced Studies Australian National University Canberra, Australia
LONDON
NEW YORK
Chapman and Hall
First published 1983 by Chapman and Hall Ltd II New Fetter Lane, London EC4P 4EE Published in the USA by Chapman and Hall 733 Third Avenue, New York NYIOOl7
© 1983 Allan W. Snyder and John D. Love J. W. Arrowsmith Ltd., Bristol
ISBN 0 412 09950 0 (cased) ISBN 0 412 24250 8 (Science Paperback) This title is available in both hardbound and paperback editions. The paperback edition is sold subject to the condition that it shall not, by way of trade or otherwise, be lent, re-sold, hired out, or otherwise circulated without the publisher's prior consent in any form of binding or cover other than that in which it is published and without a similar condition including this condition being imposed on the subsequent purchaser. All rights reserved. No part of this book may be reprinted, or reproduced or utilized in any form or by any electronic, mechanical or other means, now known or hereafter invented, including photocopying and recording, or in any information storage and retrieval system, without permission in writing from the Publisher. British Library Cataloguing in Publication Data
Snyder, Allan W. Optical waveguide theory. I. Optical waveguides I. Title II. Love, John D. 535.8'9 QC448 ISBN-13: 978-0-412-24250-2
001: 10.1007/978-1-4613-2813-1
e-ISBN-13: 978-1-4613-2813-1
Library of Congress Cataloging in Publkation Data
Snyder, Allan W., 1940Optical waveguide theory. (Science paperbacks; 190) Bibliography: p. Includes index. 1. Optical wave guides. I. Love, John D. II. Title. Ill. Series. 62'.36'9 83-7463 TA1800.s69 1983 ISBN-13: 978-0-412-24250-2 e-ISBN-13: 978-1-4613-2813-1 001: 10.1007/978-1-4613-2813-1
Contents vii
Preface
Part I
1 2 3 4 5 6 7 8 9 10
Introduction to Part I Bound rays of planar waveguides Bound rays of fibers Pulse spreading Fiber illumination and pulse shape Nonuniform fibers Material absorption Leaky rays Spatial transient Bends Diffraction phenomena Part II
11
12 13 14 15 16 17 18 19 20 21 22 23 24 25
Ray Analysis of Multimode Optical Waveguides
3 6 26 51 63 89 120 134 154 179 189
Electromagnetic Analysis of Optical Waveguides
Introduction to Part II Fundamental properties of modes Waveguides with exact solutions Weakly guiding waveguides Circular fibers Gaussian approximation for circular fibers Noncircular waveguides Gaussian approximation for noncircular fibers Modes of perturbed fibers Slowly varying waveguides Illumination, tilts and offsets Sources within fibers Nonuniform fibers Bends Leaky modes Radiation modes
205 208 238 280 301 336 354 366 374 407 420 442 460 474 487 514 v
VI
26 27 28 29
Contents Decomposition of the radiation field Mode coupling Local-mode coupling Cross-talk Part III
30 31 32 33 34 35 36 37
534 542 553 567
Supplementary Material
Introduction to Part III Maxwell's equations Modal methods for Maxwell's equations Weak-guidance approximation Modal methods for the scalar w
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