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Appl. Math."],"published-print":{"date-parts":[[2019,1]]},"abstract":"<jats:p>This paper is concerned with the inverse scattering problem of time-harmonic elastic waves by an unbounded rigid rough surface. A direct imaging method is developed to reconstruct the unbounded rough surface from the elastic scattered near-field Cauchy data generated by point sources. A Helmholtz--Kirchhoff-type identity is derived and then used to provide a theoretical analysis of the direct imaging algorithm. 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