Laser Filamentation Mathematical Methods and Models
This book is focused on the nonlinear theoretical and mathematical problems associated with ultrafast intense laser pulse propagation in gases and in particular, in air. With the aim of understanding the physics of filamentation in gases, solids, the atmo
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Andre D. Bandrauk Emmanuel Lorin Jerome V. Moloney Editors
Laser Filamentation Mathematical Methods and Models
CRM Series in Mathematical Physics Editorial Board: Joel S. Fieldman Department of Mathematics University of British Columbia Vancouver, British Columbia V6T 1Z2 Canada [email protected] Duong H. Phong Department of Mathematics Columbia University ˝ New York, NY 10027U0029 USA [email protected] Yvan Saint-Aubin Département de Mathématiques et de Statistique Université de Montréal C.P. 6128, Succursale Centre-ville Montrt’eal, Québec H3C 3J7 Canada [email protected] Luc Vinet Centre de Recherches Mathématiques Université de Montréal C.P. 6128, Succursale Centre-ville Montréal, Québec H3C 3J7 Canada [email protected]
More information about this series at http://www.springer.com/series/3872
Andre D. Bandrauk • Emmanuel Lorin Jerome V. Moloney Editors
Laser Filamentation Mathematical Methods and Models
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Editors Andre D. Bandrauk Faculté des Sciences Université de Sherbrooke Sherbrooke, QC, Canada
Emmanuel Lorin School of Mathematics and Statistics Carleton University Ottawa, ON, Canada
Jerome V. Moloney Arizona Center for Mathematical Sciences University of Arizona Tucson, AZ, USA
CRM Series in Mathematical Physics ISBN 978-3-319-23083-2 ISBN 978-3-319-23084-9 (eBook) DOI 10.1007/978-3-319-23084-9 Library of Congress Control Number: 2015951225 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www. springer.com)
Preface
Optics and Photonics are now recognized as key enabling drivers that impact technologies in a multitude of areas such as communications, imaging, sensing, energy, and even health sciences. This recent declaration by NSF (USA) is based on the observation that optical and in particular laser technology has
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