用Coifman區(qū)間尺度函數求解電磁場積分方程
On the use of coifman intervallic scaling functions in the solution of electromagnetic field integral equation
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摘要: 該文采用Coifman區(qū)間尺度函數作為矩量法中的展開函數和權函數,求解電磁場積分方程,利用Coifman尺度函數的消失矩特性,減少計算矩陣元素的雙重積分次數,同時對兩個具有不同積分核的方程,提出了不同的消失矩近似方法。Abstract: In this paper, Coifman intervallic scaling functions are used as basis and testing functions in the moment method solution of electromagnetic field integral equation. The number of numerical integral is reduced with the help of the vanishing moment of Coifman scaling functions. Two methods of vanishing moment approximating are proposed for integral equations with different kernels.
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L.L. Schumaker, G. Webb, Recent Advances in Wavelet Analysis, Boston, Academic Press, 1994,241-251.[2]Guangwen Pan, M. V. Toupikov, B. K. Gilbert, On the use of coifman intervallic wavelets in the method of moments for fast construction of wavelets sparsified matrices, IEEE Trans. on AP,1999, AP-47(7), 1189-1200.[3]哈林頓,著,王爾杰,等譯,計算電磁學中的矩量法,北京,國防工業(yè)出版社,1981,49-55.[4]劉其中,宮德明,天線的計算機輔助設計,西安,西安電子科技大學出版社,1988,86-120. -
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