Transfer of Polarized Light in Planetary Atmospheres Basic Concepts

The principal elements of the theory of polarized light transfer in planetary atmospheres are expounded in a systematic but concise way. Basic concepts and practical methods are emphasized, both for single and multiple scattering of electromagnetic radiat

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ASTROPHYSICS AND

SPACE SCIENCE LIBRARY VOLUME 318

EDITORIAL BOARD Chairman

W.B. BURTON, National Radio Astronomy Observatory, Charlottesville, Virginia, U.S.A. ([email protected]); University of Leiden, The Netherlands ([email protected]) Executive Committee J. M. E. KUUPERS, Faculty of Science, Nijmegen, The Netherlands E. P. J. VAN DEN HEUVEL, Astronomical Institute, University of Amsterdam, The Netherlands H. VAN DER LAAN, Astronomical Institute, University of Utrecht, The Netherlands

MEMBERS 1. APPENZELLER, Landessternwarte Heidelberg-Konigstuhl, Germany J. N. BAHCALL, The Institute for Advanced Study, Princeton, U.S.A. F. BERTOLA, Universita di Padova, Italy J. P. CASSINELLI, University ofWisconsin, Madison, U.S.A. C. J. CESARSKY, Centre d'Etudes de Saclay, Gif-sur-Yvette Cedex, France O. ENGVOLD, Institute of Theoretical Astrophysics, University of Oslo, Norway R. McCRAY, University of Colorado, J/LA, Boulde" U.S.A. P. G. MURDIN, Institute ofAstronomy, Cambridge, U.K. F. PACINI, Istituto Astronomia Arcetri, Firenze, Italy V. RADHAKRlSHNAN, Raman Research Institute, Bangalore, India K. SATO, School of Science, The University of Tokyo, Japan F. H. SHU, University of California, Berkeley, U.S.A. B. V. SOMOV, Astronomical Institute, Moscow State University, Russia R. A. SUNYAEV, Space Research Institute, Moscow, Russia Y. TANAKA, Institute of Space & Astronautical Science, Kanagawa, Japan s. TREMAINE, CITA, Princeton University, U.S.A. N. O. WEISS, University of Cambridge, U.K.

TRANSFER OF POLARIZED LIGHT IN PLANETARY

ATMOSPHERES

Basic Concepts and Practic al Methods

by JOOP W. HOVENIER Astronomicallnstitute "Anton Pannekoek", University of Amsterdam, Amsterdam, The Netherlands

CORNELIS VAN DER MEE

HELMUT DOMKE

Dipartimento di Matematica e Informatica, Universita di Cagliari, Cagliari, Italy

Potsdam, Germany

SPRINGER SCIENCE+BUSINESS MEDIA, B.V.

A C.I.P. Catalogue record for this book is available from the Library of Congress.

ISBN 978-1-4020-2889-2 ISBN 978-1-4020-2856-4 (eBook) DOI 10.1007/978-1-4020-2856-4

Cover: Illustration of the mirror symmetry relation for polarized light. See also page 75.

Printed an acid-free paper

AlI Rights Reserved © 2004 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 2004 Softcover reprint of the hardcover 1st edition 2004 No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permis sion from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.

Contents Preface

ix

Acknowledgments

xiii

1 Description of Polarized Light 1.1 Intensity and Flux . . . . . . . . . . . 1.2 Polarization Parameters . . . . . . . . 1.2.1 Trigonometric Wave Functions 1.2.2 General Properties of Stokes Parameters for Quasi-monochromatic Light . .