Wave Propagation and Diffraction Mathematical Methods and Applicatio
This book presents two distinct aspects of wave dynamics – wave propagation and diffraction – with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diff
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Igor T. Selezov Yuriy G. Kryvonos Ivan S. Gandzha
Wave Propagation and Diffraction Mathematical Methods and Applications
Foundations of Engineering Mechanics Series editors V.I. Babitsky, Loughborough, Leicestershire, UK Jens Wittenburg, Karlsruhe, Germany
More information about this series at http://www.springer.com/series/3582
Igor T. Selezov ⋅ Yuriy G. Kryvonos Ivan S. Gandzha
Wave Propagation and Diffraction Mathematical Methods and Applications
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Igor T. Selezov Institute of Hydromechanics National Academy of Sciences of Ukraine Kyiv Ukraine
Ivan S. Gandzha Institute of Physics National Academy of Sciences of Ukraine Kyiv Ukraine
Yuriy G. Kryvonos Institute of Cybernetics National Academy of Sciences of Ukraine Kyiv Ukraine
ISSN 1612-1384 ISSN 1860-6237 (electronic) Foundations of Engineering Mechanics ISBN 978-981-10-4922-4 ISBN 978-981-10-4923-1 (eBook) DOI 10.1007/978-981-10-4923-1 Library of Congress Control Number: 2017941462 © Springer Nature Singapore Pte Ltd. 2018 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore
Foreword
This monograph is devoted to topical problems of the contemporary theory of wave propagation and diffraction. It starts from the brief account of mathematical methods related to studying the problems of wave diffraction theory. Then spectral methods in the theory of wave propagation are considered in more detail. The refraction of surface gravity waves is studied with the use of the ray method that originates from geometrical optics. Various problems pertaining to the diffraction and scattering of hydrodynamic, acoustic, electromagnetic, and elastic waves by local inhomogeneit
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