Field of a point source in a semi-infinite elastic medium

被引：3

作者：

Val'kov, Alexey ^{[2
,3
]}

Kuzmin, Vladimir ^{[2
,3
]}

Romanov, Vadim ^{[2
]}

Nikitina, Margarita ^{[2
]}

Kozhevnikov, Sergey ^{[4
]}

Meglinski, Igor ^{[1
]}

机构：

[1] Univ Otago, Dept Phys, Dunedin 9054, New Zealand

[2] St Petersburg State Univ, Dept Phys, St Petersburg 198504, Russia

[3] St Petersburg Inst Commerce & Econ, Dept Math, St Petersburg 195021, Russia

[4] Gubkin Russian State Univ Oil & Gas, Moscow 119991, Russia

来源：

WAVES IN RANDOM AND COMPLEX MEDIA | 2012年 / 22卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

GREENS-FUNCTION; HALF-SPACE; SURFACE; SCATTERING; WAVES; PROPAGATION;

D O I：

10.1080/17455030.2012.707789

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An exact solution for the tensor Green's function of a harmonic field for a semi-infinite elastic medium is presented in an easy-to-use form in the theory of wave scattering. The solution is derived in the form of a sum of the Green's functions for an infinite medium and the term satisfying the homogeneous wave equation for a semi-infinite elastic medium. The results reproduce the known far-field asymptotics containing longitudinal, transversal and surface Rayleigh-type wave modes. The near-field asymptotic is essentially different for the regions far and near the boundary.

引用

页码：423 / 434

页数：12

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