| 广义索末菲积分的离散复镜像算法 |
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| 引用本文： | 王建. 广义索末菲积分的离散复镜像算法[J]. 地球物理学报, 1992, 35(05): 644-649, |
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| 作者姓名： | 王建 |
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| 作者单位： | 电子科技大学微波工程系 成都 610054 |
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| 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.
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| 关 键 词： | 索末菲积分 复镜像 Prony方法 数值积分 |
| 收稿时间： | 1990-09-08 |
| 修稿时间： | 1991-08-15 |
DISCRETE COMPLEX IMAGE METHOD FOR CALCULATING GENERALIZED SOMMERFELD INTEGRALS |
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| WANG JIAN. DISCRETE COMPLEX IMAGE METHOD FOR CALCULATING GENERALIZED SOMMERFELD INTEGRALS[J]. Chinese Journal of Geophysics (in Chinese), 1992, 35(05): 644-649, |
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| Authors: | WANG JIAN |
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| Affiliation: | University of Electronic Science and Technology of China, Chengdu 610054 |
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| Abstract: | 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. |
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| Keywords: | Sommerfeld integrals Complex image Prony's method Numerical integration |
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