Overview
Covers both theory and experiments on wave propagation in metamaterials
Describes new formulations of acoustic fields in materials
Offers an essential reference guide for researchers and practitioners alike
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Table of contents (14 chapters)
Keywords
About this book
The book first provides the necessary theoretical background, which includes the covariant derivative, the vector potential, and invariance in coordinate transformation. This is followed by descriptions of global gauge invariance (isotropy), and of local gauge invariance (anisotropy). Sections on time reversal symmetry, reflection invariance, and invariance of finite amplitude waves round out the coverage.
Authors and Affiliations
About the author
Dr. Woon Siong Gan completed his PhD at the age of 24, and is one of the founders of condensed matter physics. He was the first to introduce transport theory into condensed matter physics, and coined the term “transport theory” in 1966, during his PhD studies at the physics department of Imperial College London. Today, transport theory is the key foundation of the theoretical design of new materials and enjoys a status in condensed matter physics similar to that of Yang Mills theory in particle physics. His PhD thesis (1969) employed a statistical mechanics approach to describe phase transition and ultrasound propagation in semiconductors in the presence of high magnetic fields and low temperatures instead of the usual method of electron-phonon interaction from many body theory. Accordingly, his thesis also played a part in the founding of condensed matter physics.
In 2007 he introduced a gauge invariance approach to acoustics fields, a milestone in the history of gauge invariance in physics. Recently he has also introduced curvilinear spacetime for the treatment of nonlinear acoustics; a suitable choice due to the curved paths of high-intensity acoustic fields.
Dr. Woon Siong Gan authored the books Acoustical Imaging: Techniques and Applications for Engineers, published by John Wiley & Sons in 2012, and New Acoustics Based on Metamaterials, published by Springer in 2018. This is his third book, Gauge Invariance Approach to Acoustics Fields, published by Springer. His current research interests are in transport theory approaches to phase transition, quantum acoustic metamaterials, and curvilinear spacetime approaches to nonlinear acoustics.
Bibliographic Information
Book Title: Gauge Invariance Approach to Acoustic Fields
Authors: Woon Siong Gan
DOI: https://doi.org/10.1007/978-981-13-8751-7
Publisher: Springer Singapore
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2019
Hardcover ISBN: 978-981-13-8750-0Published: 16 August 2019
Softcover ISBN: 978-981-13-8753-1Published: 16 August 2020
eBook ISBN: 978-981-13-8751-7Published: 31 July 2019
Edition Number: 1
Number of Pages: XVII, 169
Number of Illustrations: 41 b/w illustrations, 4 illustrations in colour
Topics: Engineering Acoustics, Characterization and Evaluation of Materials, Acoustics, Solid Mechanics, Solid State Physics