论文标题

电磁波指导中的采样类型方法

A Sampling Type Method in an Electromagnetic Waveguide

论文作者

Meng, Shixu

论文摘要

我们提出了一种采样类型方法,以在电磁波指导中图像散射器。波导在一端终止,测量值在另一端和远场。成像函数基于直接在测量表面上整合测量和已知函数。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。我们通过分析表明,成像函数在散射器内部达到峰值,其中分解的操作员的固定性和已知函数的设计起着核心作用。最后,提供了数值示例以证明成像方法的性能。

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.

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