| 电磁场数值计算中的多分辨分析 |
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| 引用本文： | 郭汉伟,梁甸农.电磁场数值计算中的多分辨分析[J].系统工程与电子技术,2002,24(8):53-55. |
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| 作者姓名： | 郭汉伟 梁甸农 |
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| 作者单位： | 国防科技大学电子科学与工程学院,湖南,长沙,410073 |
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| 摘 要： | 从多分辨数值积分、多分辨空间的矩阵压缩和时域多分辨 (multiresolutionanalysisintimedomain ,MRTD)三个方面表达了多分辨技术在电磁场数值计算中的应用。多分辨数值积分技术计算灵活 ,适合计算振荡积分。矩阵压缩技术可以将满阵转化为稀疏矩阵处理 ,以提高计算效率。证明了FDTD是基函数为HAAR尺度函数时MRTD算法的特例。与FDTD相比 ,在保证计算精度的前提下 ,MRTD算法减少了计算资源占用 ,提高了计算效率。
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| 关 键 词： | 多分辨分析 映射矩阵 小波分析 电磁场 |
| 文章编号： | 1001-506X(2002)08-0053-03 |
| 修稿时间： | 2001年7月5日 |
Multiresolution Analysis in Numerical Computation of Electromagnetic Field |
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| GUO Han wei,LIANG Dian nong.Multiresolution Analysis in Numerical Computation of Electromagnetic Field[J].System Engineering and Electronics,2002,24(8):53-55. |
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| Authors: | GUO Han wei LIANG Dian nong |
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| Abstract: | This paper explains how multiresolution analysis improves the efficiency of electromagnetic field numerical computation in three aspects, i.e. numerical integration based on multiresolution analysis(NIMA), matrix compression in multiresolution analysis (MCMA) space and multiresolution analysis in time domain(MRTD). NIMA can deal with the high oscillation integral, and the integral is equal to the sum of multiresolution sampling. MCMA can transform the full matrix to sparse matrix, thus leading to less computation cost. Moreover, the paper has proved that FDTD is a special case of MRTD with Haar scale base. MRTD has more excellent performance than FDTD in electromagnetic field computation. |
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| Keywords: | Multiresolution analysis Mapping matrix Wavelet analysis Electromagnetic field |
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