摘要
本文对多分层媒质并矢格林函数中的索末菲积分,用Prony方法对其被积函数分式部分用指数函数逼近.利用索末菲恒等式,无穷积分就可化为闭合的级数形式.该闭合形式可看作一串离散镜像在观察点的解.所得结果与数值积分结果吻合很好.
This paper deals with the evaluation of Sommerfeld integrals that are contained in dyadic Green's functions of a multilayered medium. Th fraction part of the integrand in a Sommerfeld type integral can be approached by a series of exponential functions with different complex coefficients, only using Prony's method. Then by using of the Sommerfeld equality, a Sommerfeld type integral can be changed into a closed series form. The closed form can be regarded as the solution at the observation point due to a series of discrete images. The results agree well with the ones of numerical integration.
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
1992年第5期644-649,共6页
Chinese Journal of Geophysics
基金
国家自然科学基金
关键词
索末菲积分
复镜像
PRONY方法
Sommerfeld integrals, Complex image, Prony's method, Numerical integration.
