Imaging of 3D objects with experimental data using orthogonality sampling methods

Imaging of 3D objects with experimental data using orthogonality sampling methods
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使用正交采样方法利用实验数据对 3D 物体进行成像

DOI:
10.1088/1361-6420/ac3d85
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发表时间:
2021
期刊:
影响因子:
2.1
通讯作者:
Truong, Trung
Truong, Trung
中科院分区:
数学2区
文献类型:
--
作者:
Le, Thu;Nguyen, Dinh-Liem;Schmidt, Hayden;Truong, Trung

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本文利用菲涅耳数据库的实验数据对三维散射体进行了成像研究。本文的第一个目标是研究Harris和Nguyen[2020 SIAM J.Sci]对正交性采样法(OSM)的一种改进版本。电脑。42 B72-737]以解决成像问题。与原始版本相比,改进的OSM的优点在于它适用于与电磁散射数据相关的更多类型的极化矢量。我们利用远场算符的因式分解分析和Funk-Hecke公式分析了改进的OSM。第二个目标是验证改进的OSM、OSM和经典的因式分解方法在三维菲涅耳数据库上的性能。我们提出的改进的OSM能够快速、简单、高效地对稀疏和有限孔径的真实数据进行反演。实际数据验证也表明,改进后的最小二乘法比原方法和因式分解法具有更好的性能。
This paper is concerned with imaging of 3D scattering objects with experimental data from the Fresnel database. The first goal of the paper is to investigate a modified version of the orthogonality sampling method (OSM) by Harris and Nguyen [2020 SIAM J. Sci. Comput. 42 B72–737] for the imaging problem. The advantage of the modified OSM over its original version lies in its applicability to more types of polarization vectors associated with the electromagnetic scattering data. We analyze the modified OSM using the factorization analysis for the far field operator and the Funk–Hecke formula. The second goal is to verify the performance of the modified OSM, the OSM, and the classical factorization method for the 3D Fresnel database. The modified OSM we propose is able to invert the sparse and limited-aperture real data in a fast, simple, and efficient way. It is also shown in the real data verification that the modified OSM performs better than its original version and the factorization method.
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