Diffraction of elastic waves from object in layer with slightly corrugated surface

This work is concerned with the influence of corrugated surfaces on waves diffracted from an object in an elastic layer. A boundary value problem is formulated to simulate an anti-plane problem for a harmonic load acting on the upper surface of the layer. By using the boundary integral equation method and the perturbation technique, the considered problem is reduced to a pair of integral equations. By constructing the Green’s function, the scattering problem in a one-mode frequency range is solved. To check the validity of the proposed technique, several numerical examples for different geometrical shapes of the corrugated bottom are presented.

Diffraction of Elastic Waves by a Cylindrical Nanohole

Diffraction of in-plane wave and out-plane wave by a cylindrical nanohole is investigated. The surface elastic theory is used to consider the surface stress effects and to derive the boundary condition on the surface of the nanohole. The plane wave expansion method is applied to obtain the scattering waves. The scattering cross section and far-field scattering amplitude are numerically evaluated. The influences of surface stress are discussed based on the numerical results.