重要-Inhomogeneous Waves in Piezoelectric Crystals 外文学习材料

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1、ACTAACUSTICAUNITEDWITHACUSTICAVol.91(2005)840–845InhomogeneousWavesinPiezoelectricCrystalsNicoF.Declercq,JorisDegrieck,OswaldLeroySoeteLaboratory,DepartmentofMechanicalConstructionandProduction,GhentUniversity,SintPietersnieuw-straat41,B-9000Ghent,Belgium.NicoF.Declercq@Ugent.beSumma

2、ryInhomogeneouswavesaredescribedaspurehomogeneousplanewaves,exceptthatthewavevectoriscomplexvalued.Thisresultsinanexponentialdecayoftheamplitudealongthewavefront.Thelast30years,alotofstudieshavebeenreportedonthepropertiesofinhomogeneouswaves.Itis,forexample,knownthattheirve-locitydep

3、endsontheinhomogeneity,inisotropicaswellasinanisotropicmedia.Nevertheless,theinfluenceofpiezoelectricity,whichisveryimportantforalotofcrystals,hasalwaysbeenneglectedinthereportedstudies.Thepresentpaperreportsastudyofthepropagationofinhomogeneouswavesinthebulkofpiezoelectriccrys-tals.S

4、pecialattentionisdrawnonthesusceptibilityofinhomogeneouswavestotheeffectofpiezoelectricity.NumericalexamplesaregivenforLithiumNiobate.PACSno.43.20.Bi,43.20.Hq,43.35.Cg1.Introduction2.TheoreticaldevelopmentFromtheverybeginning,wheninhomogeneouswavesForpiezoelectricmaterials,takinginto

5、accountEinstein’smadetheirentryinacoustics,theyhavebeeneitherstudieddoublesuffixnotationconvention,thestresstensor[12,assideeffectsinscatteringproblemsatinterfacesbetween14]isgivenbydifferentmedia,orasindependentphysicalentities,from=ce;E(1)atheoreticalpointofviewaswellasfromanexpe

6、rimen-ijijklklkijktalpointofview[1].Moststudieshavebeenundertakenwhereastheelectricaldisplacementisgivenbyforthecaseofisotropicmedia.Onlyafewstudieshavebeenreportedofinhomogeneouswavesinanisotropicme-D="E+e(2)dia[2,3,4,5,6,7,8,9,10,11].kkiikijijwherecisthestiffnesstensor,isthepiez

7、oelectricThepresentstudyextendstheexistingstudiestotheijklkijstresstensor,"isthedielectricalpermittivitytensor,Ecasewherealsopiezoelectricityisinvolved.Itisknownijthatpiezoelectricityresultsinachange(oftencalledstiff-istheelectricfieldvector,Disthedielectricdisplacementvectorandeisthe

8、straintensor