Alavikia Babak, Ramahi Omar M
Department of Electrical and Computer Engineering, University of Waterloo, 200 University Avenue West, Waterloo, Ontario N2L3G1, Canada.
J Opt Soc Am A Opt Image Sci Vis. 2011 Jul 1;28(7):1489-95. doi: 10.1364/JOSAA.28.001489.
We present a novel semianalytical method using multipole expansion technique to solve the problem of scattering from multiple perfectly conducting cylinders placed above a perfectly conducting ground plane. The idea behind the formulation is based on the observation that an infinite flat ground plane can be approximated as a cylinder with a radius approaching infinity. Using Green's representation of the electromagnetic fields and using addition theorem of Bessel function, we expand the fields in terms of multipoles. Applying the appropriate boundary condition on the surface of the cylinders and the ground plane based on the field polarization results in a set of linear systems of equations containing the multipole's coefficients. The technique presented here is highly efficient in terms of computing resources, versatile, and accurate. The near fields are generated for single and multiple object examples.
我们提出了一种使用多极展开技术的新型半解析方法，以解决置于理想导电地面上方的多个理想导电圆柱的散射问题。该公式背后的想法基于这样的观察：无限大的平坦地面可以近似为半径趋于无穷大的圆柱。利用电磁场的格林表示并使用贝塞尔函数的加法定理，我们用多极展开场。根据场极化在圆柱表面和地面上应用适当的边界条件，得到一组包含多极系数的线性方程组。这里提出的技术在计算资源方面效率很高，具有通用性且准确。针对单个和多个物体的例子生成了近场。
