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 successful fabrication of acoustical metamaterials. T...

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Bibliographic Details
Main Author: Gan, Woon Siong (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Singapore : Springer Nature Singapore : 2019.
Imprint: Springer,
Edition:1st ed. 2019.
Subjects:
Acoustical engineering.
Materials > Analysis.
Acoustics.
Mechanics, Applied.
Solids.
Condensed matter.
Engineering Acoustics.
Characterization and Analytical Technique.
Solid Mechanics.
Condensed Matter Physics.
Online Access:Full-text access
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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