LEADER 03473nam 22006255 450 001 9910350292303321 005 20200702202733.0 010 $a981-13-8751-6 024 7 $a10.1007/978-981-13-8751-7 035 $a(CKB)4100000009158789 035 $a(MiAaPQ)EBC5844332 035 $a(DE-He213)978-981-13-8751-7 035 $a(PPN)23848694X 035 $a(EXLCZ)994100000009158789 100 $a20190731d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGauge Invariance Approach to Acoustic Fields /$fby Woon Siong Gan 205 $a1st ed. 2019. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2019. 215 $a1 online resource (179 pages) $cillustrations 311 $a981-13-8750-8 327 $aIntroduction -- 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. 330 $aThis 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. . 606 $aAcoustical engineering 606 $aMaterials science 606 $aAcoustics 606 $aMechanics 606 $aMechanics, Applied 606 $aSolid state physics 606 $aEngineering Acoustics$3https://scigraph.springernature.com/ontologies/product-market-codes/T16000 606 $aCharacterization and Evaluation of Materials$3https://scigraph.springernature.com/ontologies/product-market-codes/Z17000 606 $aAcoustics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21069 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aSolid State Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25013 615 0$aAcoustical engineering. 615 0$aMaterials science. 615 0$aAcoustics. 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aSolid state physics. 615 14$aEngineering Acoustics. 615 24$aCharacterization and Evaluation of Materials. 615 24$aAcoustics. 615 24$aSolid Mechanics. 615 24$aSolid State Physics. 676 $a530.1435 700 $aGan$b Woon Siong$4aut$4http://id.loc.gov/vocabulary/relators/aut$0909749 906 $aBOOK 912 $a9910350292303321 996 $aGauge Invariance Approach to Acoustic Fields$92088881 997 $aUNINA