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本文发展了用于微型机辅助分析计算轴对称静电场的“等效电荷—不变嵌入法”。此方法发挥了等效电荷分布法和不变嵌入法的优点,能精确和方便地分析计算各种封闭或开放的复杂系统的电位和电场分布。文中采用了高效的哈斯通斯多项式和高斯—勒让德数值积分公式计算系数矩阵;利用介质的边值公式,导出了计算任意分界面上的等效极化电荷分布的公式;探讨了电荷作分段线性函数展开的等效电荷法,并导出了不等距网格的不变嵌入法及其逆序计算公式,最后还探讨了等效电荷的其它推广应用。按照所述方法,已分别在SHARP MZ-80B和WANG VS/2200计算机上编制成BASIC语言通用程序,并对若干典型系统和实例作了验证计算。
In this paper, an “equivalent charge-invariant embedding method” for the analysis of axial symmetric electrostatic fields in microcomputer-assisted analysis has been developed. This method has the advantages of equivalent charge distribution method and invariant embedding method, and can accurately and conveniently analyze and calculate the potential and electric field distribution of various closed or open complex systems. In this paper, the efficient matrixes of Hastings polynomials and Gauss-Legendre numerical integrals are used to calculate the coefficient matrix. The equations for calculating the equivalent polarization charge distribution at arbitrary interface are derived by using the boundary value formula of the medium. As a piecewise linear function to develop the equivalent charge method, and derived unequal-length grid invariant embedding method and its reverse order formula, and finally explored the equivalent application of other charges. According to the method, BASIC language common programs have been compiled on SHARP MZ-80B and WANG VS / 2200 computers respectively, and some typical systems and examples have been verified and calculated.