  Consider the two-dimensional inverse elastic wave scattering by an infinite
rough surface with a Dirichlet boundary condition. A non-interative sampling
technique is proposed for detecting the rough surface by taking elastic wave
measurements on a bounded line segment above the surface, based on
reconstructing a modified near-field equation associated with a special
surface, which generalized our pervious work for the Helmholtz equation (SIAM
J. IMAGING. SCI. 10(3)(2017), 1579-1602) to the Navier equation. Several
numerical examples are carried out to illustrate the effectiveness of the
inversion algorithm.
