| 复合开弧上的散射问题 |
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| 引用本文： | 郜元元.复合开弧上的散射问题[J].华北水利水电学院学报,2010,31(5):157-160. |
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| 作者姓名： | 郜元元 |
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| 作者单位： | 宜春实验中学,江西,宜春,336000 |
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| 摘 要： | 关于时间调和的平面电磁波在一个无限长圆柱形导体上的散射问题,可以转化为R2中一段开弧上的散射问题.为了进一步研究这段开弧上的散射问题,可以把它分成两部分,分别具有不同的边值条件.根据位势理论,这个问题构造成一个边界积分方程,由Fredholm定理得出这个方程存在唯一解.
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| 关 键 词： | Helmhdt方程 边界积分方程 存在性 唯一性 |
Scattering Problems for the Compound Open Arc |
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| GAO Yuan-yuan.Scattering Problems for the Compound Open Arc[J].Journal of North China Institute of Water Conservancy and Hydroelectric Power,2010,31(5):157-160. |
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| Authors: | GAO Yuan-yuan |
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| Affiliation: | GAO Yuan-yuan (Yichun Experimental Middle School,Yichun 336000,China) |
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| Abstract: | The scattering of an electromagnetic time-harmonic plane wave by an infinite cylindrical conductor can be converted to the problem of scattering by an open arc of R2.For further study on the scatering problem of the open arc,the arc can be devided into two parts with different boundary value conditions.Applying potential theory,the problem can be reformulated as a boundary integral equation,then it is derived that the equation has the unique solution using Fredholm theorem. |
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| Keywords: | Helmholtz equation boundary integral equation existence uniqueness |
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