求解索末菲尔德积分的广义函数束方法

Generalized Pencil-of-function Method for Solving Sommerfeld Integral

应用广义函数束方法求解了索末菲尔德积分。通过被积函数分式部分的指数拟合和索末菲尔德恒等式将无穷积分转化为闭合级数形式,避免了贝塞尔函数值计算和数值积分中繁琐的运算,提高了数值计算的效率和精度。

Generalized pencil-of-function method was applied to calculate Smmmerfeld integral in this paper. Infinite integral could be changed into a closed form of accumulation by exponential fit of the integrand fraction and Sommerfeld identical equation so as to avoid tedious computation of Bessel function evaluation and numerical integration. The computational efficiency and accuracy were greatly improved.