用Coifman区间尺度函数求解电磁场积分方程
On the use of coifman intervallic scaling functions in the solution of electromagnetic field integral equation
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摘要: 该文采用Coifman区间尺度函数作为矩量法中的展开函数和权函数,求解电磁场积分方程,利用Coifman尺度函数的消失矩特性,减少计算矩阵元素的双重积分次数,同时对两个具有不同积分核的方程,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]哈林顿,著,王尔杰,等译,计算电磁学中的矩量法,北京,国防工业出版社,1981,49-55.[4]刘其中,宫德明,天线的计算机辅助设计,西安,西安电子科技大学出版社,1988,86-120. -
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