000913424 000__ 03091cam\a2200541Ii\4500 000913424 001__ 913424 000913424 005__ 20230306150330.0 000913424 006__ m\\\\\o\\d\\\\\\\\ 000913424 007__ cr\cn\nnnunnun 000913424 008__ 190829t20192019si\a\\\\ob\\\\000\0\eng\d 000913424 019__ $$a1111922014$$a1115064450$$a1117704944$$a1119031427 000913424 020__ $$a9789811387517$$q(electronic book) 000913424 020__ $$a9811387516$$q(electronic book) 000913424 020__ $$a9811387508 000913424 020__ $$a9789811387500 000913424 020__ $$a9789811387524 000913424 020__ $$a9811387524 000913424 020__ $$a9789811387531 000913424 020__ $$a9811387532 000913424 0247_ $$a10.1007/978-981-13-8751-7$$2doi 000913424 0247_ $$a10.1007/978-981-13-8 000913424 035__ $$aSP(OCoLC)on1114335305 000913424 035__ $$aSP(OCoLC)1114335305$$z(OCoLC)1111922014$$z(OCoLC)1115064450$$z(OCoLC)1117704944$$z(OCoLC)1119031427 000913424 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDXIT$$dEBLCP$$dNOC$$dUX1$$dVT2$$dUPM$$dLQU$$dUAB$$dN$T$$dUKMGB 000913424 049__ $$aISEA 000913424 050_4 $$aQC793.3.G38$$bG36 2019 000913424 08204 $$a530.14/35$$223 000913424 1001_ $$aGan, Woon Siong,$$eauthor. 000913424 24510 $$aGauge invariance approach to acoustic fields /$$cWoon Siong Gan. 000913424 264_1 $$aSingapore :$$bSpringer,$$c[2019] 000913424 264_4 $$c©2019 000913424 300__ $$a1 online resource :$$billustrations 000913424 336__ $$atext$$btxt$$2rdacontent 000913424 337__ $$acomputer$$bc$$2rdamedia 000913424 338__ $$aonline resource$$bcr$$2rdacarrier 000913424 347__ $$atext file$$bPDF$$2rda 000913424 504__ $$aIncludes bibliographical references. 000913424 5050_ $$aIntroduction -- History of Gauge Theory -- Coordinate Systems as the Framework of Equations -- Gauge Fields -- Covariant Derivative in Gauge Theory -- Lie Groups -- Global Gauge Invariance -- Local Gauge Invariance -- Gauge Fixing -- Noether's Theorem -- Spontaneous Symmetry Breaking and Phonon as the Goldstone Mode -- Time Reversal Acoustics and Super resolution -- Negative Refraction, Acoustical Metamaterials , and Acoustical Cloaking -- New Acoustics based on Metamaterials. 000913424 506__ $$aAccess limited to authorized users. 000913424 520__ $$aThis book highlights the symmetry properties of acoustic fields and describes the gauge invariance approach, which can be used to reveal those properties. Symmetry is the key theoretical framework of metamaterials, as has been demonstrated by the successful fabrication of acoustical metamaterials. The book first provides the necessary theoretical background, which includes the covariant derivative, the vector potential, and invariance in coordinate transformation. This is followed by descriptions of global gauge invariance (isotropy), and of local gauge invariance (anisotropy). Sections on time reversal symmetry, reflection invariance, and invariance of finite amplitude waves round out the coverage. 000913424 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed August 29, 2019). 000913424 650_0 $$aGauge fields (Physics) 000913424 650_0 $$aNonlinear acoustics. 000913424 77608 $$iPrint version:$$z9789811387500 000913424 852__ $$bebk 000913424 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-981-13-8751-7$$zOnline Access$$91397441.1 000913424 909CO $$ooai:library.usi.edu:913424$$pGLOBAL_SET 000913424 980__ $$aEBOOK 000913424 980__ $$aBIB 000913424 982__ $$aEbook 000913424 983__ $$aOnline 000913424 994__ $$a92$$bISE