Gauge Invariance Approach to Acoustic Fields

Gauge Invariance Approach to Acoustic Fields by Woon Siong Gan.

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: eBook
Language:English
Published: Singapore : Springer Singapore : Imprint: Springer, 2019.
Edition:1st ed. 2019.
Series:Springer eBook Collection.
Subjects:
Acoustical engineering.
Materials science.
Acoustics.
Mechanics.
Mechanics, Applied.
Solid state physics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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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