In this article, a method is presented to estimate the effective electrical parameters of the scatterers for multi-view multi-static two dimensional transverse electric (2D-TE) scattering configurations. The derived method needs the shape and position information of scatterers a-priorly to model the targets as circular cylinders (i.e., an effective radius and center is determined for each target) with constant electrical parameters. Next, the method employs the virtual experiments to focus the incident magnetic field as a $J_{0}$ on a specific target. After focusing the excitation and neglecting the multiple scattering between targets, the scattered field is in $H_{1}^{(1)}$ form. Next, the error between the simulated and the virtual fields is calculated. Then, the effective electrical parameter is estimated as the minimizer of the error. Lastly, for the cases where the shape and/or position information are noisy, the introduced method links the deviation of the electrical parameters to deviations of the effective radius and center. From this relation, the method presents a way to estimate the maximum deviations in the electrical parameters, given the maximum deviations in effective radius and center. The efficiency and accuracy of the proposed formulations are tested with both numerical and experimental examples.

中文翻译：

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二维横向电工况下有效电参数的估计

在本文中，提出了一种估计多视图多静态二维横向电 (2D-TE) 散射配置的散射体有效电参数的方法。导出的方法需要散射体的形状和位置信息，以将目标建模为具有恒定电参数的圆柱体（即，确定每个目标的有效半径和中心）。接下来，该方法使用虚拟实验将入射磁场作为 $J_{0}$ 聚焦在特定目标上。在聚焦激发并忽略目标之间的多次散射后，散射场呈$H_{1}^{(1)}$形式。接下来，计算模拟场和虚拟场之间的误差。然后，将有效电参数估计为误差的最小值。最后，对于形状和/或位置信息有噪声的情况，引入的方法将电气参数的偏差与有效半径和中心的偏差联系起来。根据这种关系，该方法提出了一种方法来估计电气参数的最大偏差，给定有效半径和中心的最大偏差。所提出的公式的效率和准确性通过数值和实验示例进行了测试。