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Filtering effects on permittivity profiles reconstructed by a spectral inverse scattering technique

机译:对通过光谱逆散射技术重建的介电常数分布的滤波作用

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A study is made of the reconstruction of permittivity profiles using the spectral inverse scattering scheme with the moment-method procedures. Based on earlier works, the reconstructed profiles have been affected by large errors even with a negligible random noise of the measured field. One of the intuitive approaches to reduce these errors has been implemented successfully by employing a polynomial basis function to the induced field on each enlarged cell in conjunction with a suitable weighting function. Another method is presented which adopts a low-pass filter to the spatial-Fourier transform of the equivalent source distribution induced in a dielectric object. The accuracy and validity of the spectral filtering are assured by a number of numerical simulations for a simple test geometry.
机译:使用矩量法程序,使用谱逆散射方案,对介电常数分布的重建进行了研究。根据早期的工作,即使测量场的随机噪声可以忽略不计,重构的轮廓也受到较大误差的影响。通过将多项式基函数与合适的加权函数一起应用于每个放大单元上的感应场,已成功实现了减少这些误差的直观方法之一。提出了另一种方法,该方法采用低通滤波器对介电物体中产生的等效源分布进行空间傅立叶变换。对于简单的测试几何体,通过许多数值模拟可以确保光谱滤波的准确性和有效性。

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