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A sampling type method in an electromagnetic waveguide
Inverse Problems and Imaging ( IF 1.2 ) Pub Date : 2021-01-27 , DOI: 10.3934/ipi.2021012
Shixu Meng

We propose a sampling type method to image scatterer in an electromagnetic waveguide. The waveguide terminates at one end and the measurements are on the other end and in the far field. The imaging function is based on integrating the measurements and a known function over the measurement surface directly. The design and analysis of such imaging function are based on a factorization of a data operator given by the measurements. We show by analysis that the imaging function peaks inside the scatterer, where the coercivity of the factorized operator and the design of the known function play a central role. Finally, numerical examples are provided to demonstrate the performance of the imaging method.

中文翻译:

电磁波导管中的采样型方法

我们提出了一种采样类型的方法来散射电磁波导中的图像。波导在一端终止,而测量在另一端和远场中。成像功能基于对测量值和直接在测量表面上的已知函数的积分。这种成像功能的设计和分析基于测量结果给出的数据运算符的分解。通过分析表明,成像功能在散射体内部达到顶峰,其中因式分解算子的矫顽力和已知功能的设计起着核心作用。最后,提供了数值示例来演示成像方法的性能。
更新日期:2021-01-27
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