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Inverse scattering approach based on the field equivalence principle: Inversion without a priori information on incident fields

机译:基于场等效原理的逆散射方法:没有关于入射场的先验信息的反演

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摘要

An inverse scattering approach based on the field equivalence principle is developed for reconstructing the parameters of the medium of a scattering object. A problem equivalent to the original scattering problem but internal to the measurement surface is set up. The equivalent surface currents determined by the measured total-field data rigorously yield the incident fields in the region under test, so the approach does not require explicit knowledge of the incident fields. Taking into account the fact that the equivalent surface currents produce a null field external to the surface, a functional of the medium's parameters is introduced, and a genetic algorithm is applied to minimization of the functional. Numerical simulations for imaging defects in a known dielectric cylinder from only total-field data measured on an observation surface are performed to illustrate the efficacy of the proposed inversion method.
机译:提出了一种基于场等效原理的逆散射方法,用于重构散射物体的介质参数。提出了与原始散射问题相同但在测量表面内部的问题。由测得的总场数据确定的等效表面电流严格产生了被测区域中的入射场,因此该方法不需要明确了解入射场。考虑到等效表面电流在表面外部产生零磁场这一事实,引入了介质参数的函数,并应用了遗传算法来使函数最小化。仅从观察表面上测得的总场数据对已知介电圆柱体中的缺陷进行成像的数值模拟就可以说明所提出的反演方法的有效性。

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