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Localization of small PEC spheres by multiview/single‐frequency data
- Source: Near Surface Geophysics, Volume 6, Issue 6, Aug 2008, p. 371 - 379
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- 01 Sep 2007
- 01 Aug 2008
- 01 Aug 2008
Abstract
The problem of determining the number and the locations of perfect electric conducting small spheres from the knowledge of their scattered far‐field is addressed. A multistatic/multiview/single‐frequency configuration is considered. The multiple scattering between the spheres is neglected in the problem formulation and the scatterers’ locations are represented as the support of (δ‐functions. This allows us to cast the problem as the inversion of a linear integral operator with the (δ‐functions being the actual unknowns of the problem. The inversion of such a linear integral operator is achieved by means of the truncated‐singular value decomposition. The performances achievable by the inversion algorithm are checked by synthetic exact data against model error and an additive white Gaussian noise.