Matrix formulation of electromagnetic scattering
Matrix formulation of electromagnetic scattering
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DOI：
10.1109/proc.1965.4058
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发表时间：
1965-08
期刊：
影响因子：
--
通讯作者：
P. Waterman
中科院分区：
文献类型：
--
作者：
P. Waterman
本文提出了一种新的方法，用于计算入射电磁波照射光滑、理想导电的障碍物时的雷达散射截面及其它相关场量。散射波首先由所讨论表面上的电偶极分布表示，任何偶极的响应与该点处的感应表面电流密度成正比。然后，表面电流由“边界条件”确定，即散射波通过干涉精确地抵消障碍物内的入射波。在这篇文章中，我们得到了一对耦合的（无限的）表面电流矩阵方程。绿色的身份允许解耦的方程，减少了问题大致相当于两个独立的标量问题。方程已专门用于轴对称障碍物，然后在IBM 7094上数值求解几个感兴趣的例子。互易性和能量守恒也检查和谐振模式（内部）的问题，明确成立矩阵形式。
A new method is proposed for the computation of the radar cross section and other associated field quantities arising when a smooth, perfectly conducting obstacle is illuminated by an incident electromagnetic wave. The scattered wave is first represented by a distribution of electric dipoles over the surface in question, with the response from any dipole proportional to the induced surface current density at that point. The surface current is then determined by the "boundary condition" that the scattered wave, through interference, precisely cancels the incident wave inside the obstacle. One obtains in this mariner a pair of coupled (infinite) matrix equations for the surface current. Green's identity permits decoupling of the equations, reducing the problem to roughly the equivalent of two independent scalar problems. The equations have been specialized to axially symmetric obstacles and then solved numerically on the IBM 7094 for several examples of interest. Reciprocity and energy conservation are also examined and the resonant mode (interior) problem set up explicitly in matrix form.