We investigate an inverse source problem of the time-harmonic elastic wave equation. Some novel sampling-type numerical schemes are proposed to identify moment tensor point sources in Lamé system from near-field measurements. Rigorous theoretical justifications provided show that locations and tensors can be uniquely determined multi-frequency displacement data. Several examples also presented ...

1 The Approximate Solution Curve Tracing (ASCT) Method 1.1 The correct solution space (CSS) Figure 1: The CSS represents the correct solution .space which all of the depth values on the illuminated object are included in. LB is the lower bound of the CSS. All of the depth values on the illuminated object will be not "deeper" than it. UB is the upper boumt of the CSS. All of the depth values on ...

We consider the problem of locating point sources in the planar domain from overdetermined boundary measurements of solutions of Poisson’s equation. In this paper, we propose a novel technique, termed “analytic sensing,” which combines the application of Green’s theorem to functions with vanishing Laplacian—known as the “reciprocity gap” principle—with the careful selection of analytic function...