  We consider the inverse elastic scattering problems using the far field data
due to one incident plane wave. A simple method is proposed to reconstruct the
location and size of the obstacle using different components of the far field
pattern. The method sets up linear ill-posed integral equations for sampling
points in the domain of interrogation and uses the (approximate) solutions to
compute indicators. Using the far field patterns of rigid disks as the kernels
of the integral equations and moving the measured data to the right hand side,
the method has the ability to process limited aperture data. Numerical examples
show that the method can effectively determine the location and approximate the
support of the obstacle with little a priori information.
