03473nam 22006255 450 991035029230332120200702202733.0981-13-8751-610.1007/978-981-13-8751-7(CKB)4100000009158789(MiAaPQ)EBC5844332(DE-He213)978-981-13-8751-7(PPN)23848694X(EXLCZ)99410000000915878920190731d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierGauge Invariance Approach to Acoustic Fields /by Woon Siong Gan1st ed. 2019.Singapore :Springer Singapore :Imprint: Springer,2019.1 online resource (179 pages) illustrations981-13-8750-8 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. .Acoustical engineeringMaterials scienceAcousticsMechanicsMechanics, AppliedSolid state physicsEngineering Acousticshttps://scigraph.springernature.com/ontologies/product-market-codes/T16000Characterization and Evaluation of Materialshttps://scigraph.springernature.com/ontologies/product-market-codes/Z17000Acousticshttps://scigraph.springernature.com/ontologies/product-market-codes/P21069Solid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Solid State Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P25013Acoustical engineering.Materials science.Acoustics.Mechanics.Mechanics, Applied.Solid state physics.Engineering Acoustics.Characterization and Evaluation of Materials.Acoustics.Solid Mechanics.Solid State Physics.530.1435Gan Woon Siongauthttp://id.loc.gov/vocabulary/relators/aut909749BOOK9910350292303321Gauge Invariance Approach to Acoustic Fields2088881UNINA