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.

中文翻译：

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有限孔径逆散射问题中的正交采样方法快速识别短声软开弧

正交采样方法（OSM）是最近开发的用于成像和识别逆散射问题中目标的非迭代技术。本文通过有限孔径反散射问题，通过OSM获得了一组短的声软开弧。我们介绍OSM的指标函数并探索其数学结构。在这种表述中，识别很大程度上取决于电弧长度，观察方向的范围以及平面波入射场的传播方向。在随机噪声破坏的合成数据的数值结果中验证了所探索的结构。