Boundary effect on multiple scattering of elastic waves in a half-space
https://doi.org/10.17586/2220-8054-2015-6-4-524-536
Abstract
The scattering of elastic waves is studied in the vicinity of a vacuum-medium boundary. The Green’s function for a half-space is re-derived within the mixed 2D-Fourier representation, which is convenient for studying layered media. Monte-Carlo simulations of elastic wave scattering from random inhomogeneities within a simplified scalar model are performed, accounting for a boundary-induced term in the Green’s function. The multiply scattered elastic waves’ radiation is shown to decay with distance from the source much slower in vicinity of boundary than in an infinite medium, due to the boundary condition requirements.
Supporting agencies: This work was supported partially by the Russian Foundation for Basic Research (Grant No. 13-02-01255).
About the Authors
A. Yu. Val’kov
St. Petersburg State University; St. Petersburg State University of Commerce and Economics
Russian Federation
Russian Federation
Department of Physics; Department of Mathematics
St. Petersburg
V. L. Kuzmin
St. Petersburg State University; St. Petersburg State University of Commerce and Economics
Russian Federation
Russian Federation
Department of Physics; Department of Mathematics
St. Petersburg
V. P. Romanov
St. Petersburg State University
Russian Federation
Russian Federation
Department of Physics
St. Petersburg
M. A. Nikitina
St. Petersburg State University
Russian Federation
Russian Federation
Department of Physics
St. Petersburg
V. Meglinskii
University of Otago; Saratov State University
New Zealand
New Zealand
Department of Physics; Faculty of Physics
Dunedin
Saratov
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Review
For citations:
Val’kov A.Yu., Kuzmin V.L., Romanov V.P., Nikitina M.A., Meglinskii V. Boundary effect on multiple scattering of elastic waves in a half-space. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(4):524-536. https://doi.org/10.17586/2220-8054-2015-6-4-524-536
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