Gauge Invariance Approach to Acoustic Fields

This book highlights the symmetry properties of acoustic fields and describes the gauge invariance approach, which can be used to reveal those properties. Symmetry is the key theoretical framework of metamaterials, as has been demonstrated by the successf

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Gauge Invariance Approach to Acoustic Fields

Gauge Invariance Approach to Acoustic Fields

Woon Siong Gan

Gauge Invariance Approach to Acoustic Fields

123

Woon Siong Gan Acoustical Technologies Singapore Pte Ltd. Singapore, Singapore

ISBN 978-981-13-8750-0 ISBN 978-981-13-8751-7 https://doi.org/10.1007/978-981-13-8751-7

(eBook)

© Springer Nature Singapore Pte Ltd. 2019 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, expressed 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. This Springer imprint is published by the registered company Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore

To Raymond Stephens My Ph.D Supervisor

Foreword

I first encountered Woon Siong Gan during the 22nd International Conference of Sound and Vibration (ICSV22) in Florence in July 2015. After the first meeting, I soon realized that his expressed interests in nonlinear acoustics, fundamental physics and Lie groups were the surface tell tales of wide-ranging curiosity and a talent for careful analysis. He was, and is, a researcher interested in building, but he was, and is, equally interested in ideas. We both were elected as directors of the International Institute of Acoustics and Vibrations (IIAV) for the period 2018– 2022, the first time for me and the second time for Woon Siong, who was first elected in 2002. Not long thereafter, Woon Siong asked if I would be willing to co-chair a special session in “Nonlinear Acoustics and Vibrations” during ICSV23. My first reaction was to accept with pleasure this proposal since I consider nonlinear science as a new workhouse for improving technologies and knowledge in various domains of applied acoustics such as nondestructive testing (NDT), medical imaging and analysis of complex data in the wide sense. Our plan was to invite eminent scientists who are making major contributions in different areas of nonlin