二维反声学问题中声硬弧成像的子空间迁移新研究
A novel study on subspace migration for imaging of a sound-hard arc
AI总结：
本文研究了子空间迁移中测试向量选择对声硬弧形状重建的影响，提出基于贝塞尔函数的新成像函数结构，并通过模拟验证了其有效性。
摘要：
本文研究了子空间迁移中测试向量选择对二维反声学问题中声硬弧形状重建的影响。特别地，基于与多静态响应（MSR）矩阵非零奇异值相关的奇异向量结构，构造了基于一阶、二阶第一类贝塞尔函数的新成像函数结构。该结构表明，子空间迁移的成像性能高度依赖于未知弧形的形状。模拟结果表明，该结构在噪声数据下具有有效性。
英文摘要：
In this study, the influence of a test vector selection used in subspace migration to reconstruct the shape of a sound-hard arc in a two-dimensional inverse acoustic problem is considered. In particular, a new mathematical structure of imaging function is constructed in terms of the Bessel functions of the order 0, 1, and 2 of the first kind based on the structure of singular vectors linked to the nonzero singular values of a Multi-Static Response (MSR) matrix. This structure indicates that imaging performance of subspace migration is highly related to the unknown shape of arc. The simulation results with noisy data indicate support for the derived structure.
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