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Gauge Invariance Approach to Acoustic Fields [[electronic resource] /] / by Woon Siong Gan



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Autore: Gan Woon Siong Visualizza persona
Titolo: Gauge Invariance Approach to Acoustic Fields [[electronic resource] /] / by Woon Siong Gan Visualizza cluster
Pubblicazione: Singapore : , : Springer Singapore : , : Imprint : Springer, , 2019
Edizione: 1st ed. 2019.
Descrizione fisica: 1 online resource (179 pages) : illustrations
Disciplina: 530.1435
Soggetto topico: Acoustical engineering
Materials science
Acoustics
Mechanics
Mechanics, Applied
Solid state physics
Engineering Acoustics
Characterization and Evaluation of Materials
Solid Mechanics
Solid State Physics
Nota di contenuto: 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.
Sommario/riassunto: 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. .
Titolo autorizzato: Gauge Invariance Approach to Acoustic Fields  Visualizza cluster
ISBN: 981-13-8751-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910350292303321
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