两类含两个变态贝塞尔函数积的积分公式

Formulae of Two Kinds of Integrals Involving Product of Two Modified Bessel Functions

从变态贝塞尔方程出发，构造了它的一个变换形式，利用微积分学中的定理，巧妙地求得了含两个变态贝塞尔函数和的积的一个普遍的积分公式。进而利用变态贝塞尔函数的性质，可简洁地推导出电磁场领域中两类非常重要的积分的解析表达式，在处理圆柱结构下有关电磁场能量或电磁波传输功率的计算问题时，具有普遍的应用价值。

A new transformation of modified Bessel function is built in this paper By applying the resultof the theorem on the differential and integral calculus to any two equation of the type of this transformationsmartly, a general integral formula involving the product of two modified Bessel functions is obtained.Furthermore, by recurrence relations of modified Bessel function, we get the analytical expressions of twokinds of integrals are gotten respectively, which can be widely used in the evaluation of the power in theelectromagnetic fields.