Abstract
The orthogonality sampling method (OSM) is a recently developed non-iterative technique for imaging and identifying targets in inverse scattering problems. In this paper, a set of short sound-soft open arcs is obtained by OSM in the limited-aperture inverse scattering problem. We introduce an indicator function of OSM and explore its mathematical structure. In this formulation, the identification largely depended on the arc lengths, the range of observation directions, and the propagation direction of the plane-wave incident field. The explored structure was verified in numerical results on synthetic data corrupted by random noise.
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