电偶极子在四层介质中的静电场

ELECTROSTATIC FIELDS INDUCED BY A ELECTRIC DEPOLE IN FOUR LAYERED ME- DIA

本文借助于点电荷势的付里叶－－贝塞尔积分展开式先求出点电荷在四层介质中势的积分表达式，然后将被积函数分母作泰勒展开，即可将包含贝塞尔函数的积分逐一积出．最后，我们利用点电荷势和电偶极子势之间的对应关系，求得了电偶极子在匹层介质中的静电场的解析表达式．

By means of the expansions of Fourier-Bessel integral of the potentials for a pointcharge the integral expressions of the potentials are obtained.Then we expand the denominator ofthe in tegrated functions into Tayloy′sseries,so that the integrals contained Bessel′s function havebeen integrated.Finally,using corresponding relation between a point charge and a electric depole,we derived the analytical expressions of the electrostatic fields for a electric depole in four layeredmedia.