Gauge invariance approach to acoustic fields /

Gauge invariance approach to acoustic fields /

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Bibliographic Details
Author / Creator:Gan, Woon Siong, author.
Imprint:Singapore : Springer, [2019]
©2019
Description:1 online resource : illustrations (some color)
Language:English
Subject:
Gauge fields (Physics)
Nonlinear acoustics.
Gauge fields (Physics)
Nonlinear acoustics.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11931161
Hidden Bibliographic Details
ISBN:9789811387517
9811387516
9811387508
9789811387500
9789811387524
9811387524
9789811387531
9811387532
Digital file characteristics:text file PDF
Notes:Includes bibliographical references.
Online resource; title from PDF title page (SpringerLink, viewed August 29, 2019).
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.
Other form:Print version: 9789811387500
Print version: 9789811387524
Print version: 9789811387531
Standard no.:10.1007/978-981-13-8751-7
10.1007/978-981-13-8
Table of Contents:
  • 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.

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