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Consider the two-dimensional inverse elastic wave scattering by an infiniterough surface with a Dirichlet boundary condition. A non-interative samplingtechnique is proposed for detecting the rough surface by taking elastic wavemeasurements on a bounded line segment above the surface, based onreconstructing a modified near-field equation associated with a specialsurface, which generalized our pervious work for the Helmholtz equation (SIAMJ. IMAGING. SCI. 10(3)(2017), 1579-1602) to the Navier equation. Severalnumerical examples are carried out to illustrate the effectiveness of theinversion algorithm.

A non-iterative sampling method for inverse elastic wave scattering by rough surfaces