等效电磁流边缘分量表达式的虚假奇异点处理

Treatment of false singularities in fringe components of equivalent edge currents

为消除等效电磁流边缘分量表达式中虚假奇异点,将物理绕射理论中处理绕射系数的虚假奇异点的方法推广到等效电磁流边缘分量表达式中.从原来的表达式中分离出可能产生奇异性的部分,通过三角变换及变量代换变换成在奇异点邻域比原来稳定的表达式,得到另一种等效电磁流边缘分量表达式形式,提高了等效电磁流边缘分量表达式在奇异点邻域的数值稳定性,消除了奇异性.

In order to eliminate the false singularities in the Fringe Components of Equivalent Edge Currents expressions, this paper extends the treatment of false singularities of diffraction coefficients in the Physical Theory of Diffraction into the Fringe Components of Equivalent Edge Currents expressions. The part which may produce singularity is departed from the original ones, and then is transformed into more steady expressions in the neighbourhood of singularity points by using the trigonometry exchanging and variable substitution. The reformulated Fringe Components of Equivalent Edge Currents expressions are obtained, thus increasing the numerical stability in neighbourhood of singularity points and eliminating the singularity. Numerical results testifies the validity of the method.