On the scattering amplitudes for elastic waves

DOI10.1007/BF00945822zbMath0635.73028MaRDI QIDQ1097738

Demosthenes Polyzos, George Dassios, Kiriakie Kiriaki

Publication date: 1987

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

boundary problemspolarizationcavityelastic wavesangular-angular typeelliptic problem in spacefamily of stationary problemsgeneral time dependent problemhyperbolic problem in space-timelongitudinal plane wavenormalized spherical scattering amplitudeparametrized by angular frequencypenetrable scattering regionradial- radialradial-angularReciprocity relationsrigid scattererscattering theoremstime harmonic dependencetransverse plane wave

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25) Scattering theory of linear operators (47A40)

Related Items (14)

Scattering of a Spherical Dyadic Field by a Small Rigid Sphere ⋮ Scattering relations for point-generated dyadic fields in two-dimensional linear elasticity ⋮ Effective Medium Theory for Embedded Obstacles in Elasticity with Applications to Inverse Problems ⋮ Scattering Relations for a Multi-Layered Chiral Scatterer in an Achiral Environment ⋮ Two-dimensional elastic scattering coefficients and enhancement of nearly elastic cloaking ⋮ Scattering theorems for complete dyadic fields ⋮ On the far field patterns for electromagnetic scattering in two dimensions ⋮ Direct sampling methods for inverse elastic scattering problems ⋮ Scattering Relations of Elastic Waves by a Multi-Layered Thermoelastic Body ⋮ Energy bounds for Rayleigh scattering by an elastic cavity ⋮ Three-dimensional elastic scattering coefficients and enhancement of the elastic near cloaking ⋮ Inverse elastic scattering problems with phaseless far field data ⋮ On the far field patterns for electromagnetic scattering by a chiral obstacle in a chiral environment ⋮ Unnamed Item

Cites Work

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• Low-frequency expansions for a penetrable ellipsoidal scatterer in an elastic medium
• Some theorems in classical elastodynamics
• The ellipsoidal cavity in the presence of a low-frequency elastic wave
• The low-frequency theory of elastic wave scattering
• Scattering of a Plane Longitudinal Wave by a Spherical Obstacle in an Isotropically Elastic Solid
• Scattering of a Plane Transverse Wave by a Spherical Obstacle in an Elastic Medium
• The rigid ellipsoid in the presence of a low frequency elastic wave
• Multiple Scattering by Arbitrary Configurations in Three Dimensions
• LOW-FREQUENCY SCATTERING IN ELASTICITY
• Low Frequency Scattering Theory for a Penetrable Body with an Impenetrable Core
• A Neumann series representation for solutions to boundary-value problems in dynamic elasticity
• On the Two-Dimensional Exterior Boundary-Value Problems of Elasticity
• Certain Transmission and Reflection Theorems

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