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Electromagnetic Scattering from Anisotropic Inhomogeneous Impedance Cylinder of Arbitrary Shape with Generalized Impedance Boundary Condition

机译:广义阻抗边界条件下任意形状的各向异性各向异性圆柱的电磁散射

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In this paper, the electromagnetic scattering from inhomogeneous anisotropic impedance cylinder of arbitrary shape, whose surface satisfies most general impedance boundary, is investigated by Method of Moments (MoM). Cylinder is illuminated by monochromatic plane wave polarized in the cylinder axis (z-axis). The scattered field is calculated using the electric field integral equation of Stratton-Chu, current continuity equation and two-dimensional Green's function. In consideration of the difficulty in solving the vector integral equation, transformation from cylindrical coordinates to Cartesian coordinates is adopted to simplify the electric field integral equation using impedance boundary condition. For simplicity and high efficiency, pulse basis expansion functions are chosen for MoM. It is noteworthy that not only the induced electric current, but also the induced magnetic current and electric charge make contribution to the scattered field, so the derivative of pulse function will appear in the equation. Differential is replaced by difference to cope with the derivative of pulse function as an approximation. When the integral terms appear in the expression of impedance matrix elements, QDAGS function in the IMSL Libraries is used to ensure the accuracy of the calculation. Once the radius of the cylinder is equal to a constant value, the proposed method in this paper is still valid. Obtained scattering width results are compared with those obtained by analytical method or physical optics (PO) method, and good agreements are observed.
机译:本文利用矩量法(MoM)研究了任意形状的非均质各向异性阻抗圆柱体的电磁散射,该圆柱体的表面满足最一般的阻抗边界。圆柱体由在圆柱体轴(z轴)上偏振的单色平面波照亮。使用Stratton-Chu的电场积分方程,电流连续性方程和二维格林函数来计算散射场。考虑到求解矢量积分方程的困难,采用从圆柱坐标到笛卡尔坐标的变换来简化使用阻抗边界条件的电场积分方程。为了简单和高效,为MoM选择了脉冲基扩展功能。值得注意的是,不仅感应电流,而且感应磁电流和电荷也对散射场有贡献,因此脉冲函数的导数将出现在方程中。用差分代替差分,以应付脉冲函数的导数作为近似值。当积分项出现在阻抗矩阵元素的表达式中时,将使用IMSL库中的QDAGS功能来确保计算的准确性。一旦圆柱体的半径等于常数,本文提出的方法仍然有效。将获得的散射宽度结果与通过分析方法或物理光学(PO)方法获得的散射宽度结果进行比较,并观察到良好的一致性。

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