Numerical Regularization for Atmospheric Inverse Problems
The subject of this book is a hot topic with currently no monographic support. It is more advanced, specialized and mathematical than its competitors, and a comprehensive book on regularization techniques for atmospheric science is much needed for further
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Adrian Doicu Thomas Trautmann Franz Schreier
Numerical Regularization for Atmospheric Inverse Problems
Adrian Doicu, Thomas Trautmann, and Franz Schreier
Numerical Regularization for Atmospheric Inverse Problems
Published in association with
Praxis Publishing Chichester, UK
Dr Adrian Doicu Professor Dr Thomas Trautmann Dr Franz Schreier Deutsches Zentrum fu¨r Luft- und Raumfahrt Remote Sensing Technology Institute Oberpfaffenhofen Germany
SPRINGER–PRAXIS BOOKS IN ENVIRONMENTAL SCIENCES SUBJECT ADVISORY EDITOR: John Mason, M.B.E., B.Sc., M.Sc., Ph.D.
ISBN 978-3-642-05438-9 e-ISBN 978-3-642-05439-6 DOI 10.1007/978-3-642-05439-6 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2010920974 # Springer-Verlag Berlin Heidelberg 2010 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, 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. Cover design: Jim Wilkie Project copy editor: Mike Shardlow Author-generated LaTex, processed by EDV-Beratung Herweg, Germany Printed on acid-free paper Springer is part of Springer Science þ Business Media (www.springer.com)
To our families
Table of Contents
Preface 1
2
3
XI
Remote sensing of the atmosphere 1.1 The atmosphere – facts and problems . . . . . . . 1.1.1 Greenhouse gases . . . . . . . . . . . . . . 1.1.2 Air pollution . . . . . . . . . . . . . . . . 1.1.3 Tropospheric ozone . . . . . . . . . . . . . 1.1.4 Stratospheric ozone . . . . . . . . . . . . . 1.2 Atmospheric remote sensing . . . . . . . . . . . . 1.3 Radiative transfer . . . . . . . . . . . . . . . . . . 1.3.1 Definitions . . . . . . . . . . . . . . . . . 1.3.2 Equation of radiative transfer . . . . . . . . 1.3.3 Radiative transfer in the UV . . . . . . . . 1.3.4 Radiative transfer in the IR and microwave 1.3.5 Instrument aspects . . . . . . . . . . . . . 1.3.6 Derivatives . . . . . . . . . . . . . . . . . 1.4 Inverse problems . . . . . . . . . . . . . . . . . .
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