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Gauge Invariance Approach to Acoustic Fields

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Gauge Invariance Approach to Acoustic Fields/ by Woon Siong Gan.
Author:	Gan, Woon Siong.
Description:	XVII, 169 p. 45 illus., 4 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Acoustical engineering. -
Online resource:	https://doi.org/10.1007/978-981-13-8751-7
ISBN:	9789811387517

Gauge Invariance Approach to Acoustic Fields
Gan, Woon Siong.

Gauge Invariance Approach to Acoustic Fields[electronic resource] /by Woon Siong Gan. - 1st ed. 2019. - XVII, 169 p. 45 illus., 4 illus. in color.online resource.

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.

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. .

ISBN: 9789811387517

Standard No.: 10.1007/978-981-13-8751-7doiSubjects--Topical Terms:

563185
Acoustical engineering.

LC Class. No.: TA365-367.5

Dewey Class. No.: 620.2

Gauge Invariance Approach to Acoustic Fields
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505 0 $a 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.
520 $a 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. .
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