Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks
Title
Gauge invariance approach to acoustic fields / Woon Siong Gan.
ISBN
9789811387517 (electronic book)
9811387516 (electronic book)
9811387508
9789811387500
9789811387524
9811387524
9789811387531
9811387532
Published
Singapore : Springer, [2019]
Copyright
©2019
Language
English
Description
1 online resource : illustrations
Item Number
10.1007/978-981-13-8751-7 doi
10.1007/978-981-13-8
Call Number
QC793.3.G38 G36 2019
Dewey Decimal Classification
530.14/35
Summary
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.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed August 29, 2019).
Available in Other Form
Print version: 9789811387500
Introduction
History of Gauge Theory
Coordinate Systems as the Framework of Equations
Gauge Fields
Covariant Derivative in Gauge Theory
Lie Groups
Global Gauge Invariance
Local Gauge Invariance
Gauge Fixing
Noether's Theorem
Spontaneous Symmetry Breaking and Phonon as the Goldstone Mode
Time Reversal Acoustics and Super resolution
Negative Refraction, Acoustical Metamaterials , and Acoustical Cloaking
New Acoustics based on Metamaterials.