利用高斯求积和连分式展开计算电磁张量格林函数积分

Computation of Green's tensor integrals for electromagnetic problems using Gaussian quadrature and continued fraction

针对于利用快速汉克尔变换求解电磁张量格林函数中含有贝塞尔函数积分项时,积分核函数不总是随贝塞尔函数(Jv(λr))参数λ的增大而趋于收敛,从而产生错误结果的问题,我们利用一种直接数值积分———结合连分式展开的高斯求积方法进行计算,通过对不同模型的试算表明这种方法总能够保证电磁张量格林函数积分的正确计算.

The fast hankel transforms of Green＇s tensor integrals for electromagnetic problems isn＇t always accurate due to the disconvergence of integral kernel with the parameter of Bessel function. For this problem, we use the Gaussian quadrature and continued fraction to calculate the Green＇s tensor integrals. Through computing some different models, we find the method is always feasible and accurate.