| 离散复镜像理论对近地电偶极子的应用 |
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| 引用本文： | 王建,王石安.离散复镜像理论对近地电偶极子的应用[J].电子科技大学学报(社会科学版),1990(6). |
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| 作者姓名： | 王建 王石安 |
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| 作者单位： | 电子科技大学电磁场工程系
(王建)，电子科技大学电磁场工程系(王石安) |
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| 摘 要： | 对近地电偶极子赫芝矢位中的索末菲积分,仅用 Prony 法,对其被积函数分式部分进行指数函数逼近,可得到近地电偶极子的一串离散镜像,而这类积分就可看作这些镜像在观察点的解。采用此方法大大节省了计算时间,所得结果与沿实轴数值积分结果吻合很好。对索末菲积分在实轴上可能遇到的奇异点,采用分部积分法消去之,避免了给数值积分带来的麻烦。
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| 关 键 词： | 索末菲积分 Prony 法 消去奇异点 离散复镜象 |
DISCRETE COMPLEX IMAGE THEORY FOR ELECTRIC DIPOLES ABOVE THE GROUND |
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| Wang Jian,Wang Shi-an.DISCRETE COMPLEX IMAGE THEORY FOR ELECTRIC DIPOLES ABOVE THE GROUND[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),1990(6). |
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| Authors: | Wang Jian Wang Shi-an |
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| Institution: | Dept.of Electromagn.Field Eng. |
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| Abstract: | This paper deals with the evaluation of Sommerfeld integrals that appearin the Hertz vectors of electric dipoles near the ground.The discrete images of an electricdipole above the ground can be abtaind by using Prony's method only,i.e.make case of aseries of expanential functions with different complex coefficients to approximate the frac-tion part in a Sommerfeld type integral.So this kind of integral can be thought as the solu-tion of these discrete images.Utilizing the method can decrease much CPU time.The re-suits agree with the ones of numerical intrgration along real axis.The singular point onthe real axis,can be eliminated using partial integrated method.The touble can be avoid-ed when integrate along real axis. |
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| Keywords: | Sommerfeld integral Prony's method elimination singular point discrete complex images |
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