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小波变换法求电磁波动方程的高频解
引用本文:付彪,吴先良,李世雄.小波变换法求电磁波动方程的高频解[J].安徽大学学报(自然科学版),1999,23(3):58-64.
作者姓名:付彪  吴先良  李世雄
作者单位:1. 安徽大学电子工程与信息科学系,安徽合肥,230039
2. 安徽大学数学系,安徽合肥,230039
基金项目:安徽省自然科学基金;98330822;
摘    要:提出了一种利用小波变换求解不连续性变系数电磁波动方程高频解的新方法,解决了 Fourier 变换法无法解决的分层非均匀无耗媒质中波的传播与反射问题。并用该方法计算了一个 Fourier 变换法能求解的特例,两种方法计算结果完全一致

关 键 词:小波变换  Fourier变换  波动方程  高频解  非均匀媒质
文章编号:1000-2162(1999)03-0058-07

Finding the High- frequency Solution of Electromagnetic Wave Equation Based on Wavelet Transform Method
FU Biao ,WU Xian-liang ,LI Shi-xiong.Finding the High- frequency Solution of Electromagnetic Wave Equation Based on Wavelet Transform Method[J].Journal of Anhui University(Natural Sciences),1999,23(3):58-64.
Authors:FU Biao  WU Xian-liang  LI Shi-xiong
Institution:FU Biao 1,WU Xian-liang 1,LI Shi-xiong 2 1
Abstract:Here we present a new continuous wavelet transform method to solve the high-frequency solution of electromagnetic wave equations of varying coefficients with discontinuities in an infinite domain. The method can solve non-uniform medium which can not be solved with Fourier method. Using the method, we analyzed a special example which can be solved with Fourier method. The two solutions are the same.
Keywords:wavelet transform  fourier transform  wave equation  high-frequency solution  inhomogeneous and non-lossy medium
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