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Inverse scattering for elastic plane cracks.
| Content Provider | CiteSeerX |
|---|---|
| Author | Alves, Carlos J. S. Ha-Duong, Tuong |
| Abstract | It is known that hard planar acoustic screens generate null far-field amplitude on the directions defined by the plane that encloses them. We proved in an earlier paper that this property actually characterizes plane screens among scatterers of any shape, and we generalized it to other boundary conditions. Furthermore it was proved that a single incident wave is sufficient to distinguish screens that lie in the same plane. Generalizations of these results are carried out in this paper to the elastic case. 1 Introduction Identifying the shape of an object by means of the far field pattern of an acoustic wave, scattered by the object, is a mathematical and numerical problem with many applications. For an overview on the subject we refer to the book by Colton and Kress ([6]). However, until the works of Kress ([12]) and Alves ([2]) scatterers of crack shapes, i.e. with neglectible thickness, were not considered. In ([4]), we proved the uniqueness theorem considering admissible scatterers... |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Elastic Plane Crack Inverse Scattering Elastic Case Many Application Hard Planar Acoustic Screen Uniqueness Theorem Plane Screen Crack Shape Acoustic Wave Null Far-field Amplitude Neglectible Thickness Single Incident Wave Admissible Scatterers Boundary Condition Numerical Problem Field Pattern |
| Content Type | Text |
| Resource Type | Article |
