# Gauge Invariance Approach to Acoustic Fields

Authors: Gan, Woon Siong

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• 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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eBook $129.00 price for USA (gross) • ISBN 978-981-13-8751-7 • Digitally watermarked, DRM-free • Included format: PDF, EPUB • ebooks can be used on all reading devices • Immediate eBook download after purchase Hardcover$169.99
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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 successful fabrication of acoustical metamaterials.
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.

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.

• Introduction

Pages 1-2

Gan, Woon Siong

• History of Gauge Theory

Pages 3-13

Gan, Woon Siong

• Coordinate Systems as the Framework of Equations

Pages 15-20

Gan, Woon Siong

• Gauge Fields

Pages 21-26

Gan, Woon Siong

• Covariant Derivative in Gauge Theory

Pages 27-30

Gan, Dr. Woon Siong

eBook $129.00 price for USA (gross) • ISBN 978-981-13-8751-7 • Digitally watermarked, DRM-free • Included format: PDF, EPUB • ebooks can be used on all reading devices • Immediate eBook download after purchase Hardcover$169.99
price for USA
• ISBN 978-981-13-8750-0
• Free shipping for individuals worldwide
• Usually dispatched within 3 to 5 business days.

## Bibliographic Information

Bibliographic Information
Book Title
Gauge Invariance Approach to Acoustic Fields
Authors
2019
Publisher
Springer Singapore
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-13-8751-7
DOI
10.1007/978-981-13-8751-7
Hardcover ISBN
978-981-13-8750-0
Edition Number
1
Number of Pages
XVII, 169
Number of Illustrations
41 b/w illustrations, 4 illustrations in colour
Topics