Separation of the Vector Wave Equation of Elasticity for Certain Types of Inhomogeneous, Isotropic Media

作者: Joseph F. Hook

DOI: 10.1121/1.1908646

关键词: Plane waveAcoustic wave equationScalar potentialElectromagnetic wave equationMathematical analysisWave propagationMathematicsWave packetWave equationWave vectorAcoustics and UltrasonicsArts and Humanities (miscellaneous)

摘要: The method of separation both the dependent and independent variables vector wave equation elasticity has heretofore been applied almost exclusively to problems propagation in homogeneous media. In this paper, a generalization that extends its applicability several types inhomogeneous media is developed. mechanical properties considered here depend on one Cartesian coordinate, Poisson's ratio taken be constant. Formulations are given for axially symmetric waves three dimensions two dimensions. Three linearly solutions expressed terms scalar potential functions. One these functions represents generalized SH satisfies an second‐order all here. Certain functional forms found which remaining also satisfy equ...

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