A Hybrid Method for Wideband Analysis of Periodic Composite Metallic and Dielectric Array Structures

Kunpeng Fu, Hanru Shao
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Abstract

This study uses the tangential equivalence principle algorithm (T-EPA) in conjunction with the frequency and material independent reactions for volume surface integral equation (FMIR-VSIE) to analyze the broadband RCS of finite-period composite metal and dielectric (CMD) array architectures. An frequency-independent component and a frequency-dependent phase factor are produced by converting the exponent of the Green's function into a Taylor series. As a result, during the frequency sweep, FMIR-VSIE enables speedy calculation and generation of the impedance matrix. Additionally, there are significant memory needs. For the above problem, Using T-EPA, an objective-solving problem can be transformed into an equivalence-surface problem, therefore improving the condition number of the matrix and reducing the scale of the unknowns, decreasing the memory requirement. To improve the efficiency of the solution further, to construct a characteristic basis function (CBF) on the equivalence surface. A numerical example is given to demonstrate the validity and accuracy of the proposed method.
周期性复合金属和介电阵列结构宽带分析的混合方法
本研究使用切向等效原理算法(T-EPA)结合体积表面积分方程(FMIR-VSIE)的频率和材料无关反应来分析有限周期复合金属和介电材料(CMD)阵列结构的宽带RCS。通过将格林函数的指数转换成泰勒级数,产生了与频率无关的分量和与频率相关的相位因子。因此,在频率扫描期间,FMIR-VSIE能够快速计算和生成阻抗矩阵。此外,还需要大量的内存。对于上述问题,利用T-EPA可以将目标求解问题转化为等效曲面问题,从而提高了矩阵的条件个数,减小了未知数的规模,降低了对内存的需求。为了进一步提高求解效率,在等值面上构造特征基函数(CBF)。算例验证了该方法的有效性和准确性。
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