New method to solve electromagnetic parabolic equation

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• 作者：Xiao-feng Zhao С/a> (1)
  Si-xun Huang (1)
  Lin-chun Kang a> (1)
  
• 关键词：electromagnetic parabolic equation (EMPE) ; Fourier transform ; convolution theorem ; TN011 ; 42A85 ; 44A35
• 刊名：Applied Mathematics and Mechanics
• 出版年：2013
• 出版时间：November 2013
• 年：2013
• 卷：34
• 期：11
• 页码：1373-1382
• 全文大小：
• 作者单位：Xiao-feng Zhao С/a> (1)
  Si-xun Huang (1)
  Lin-chun Kang a> (1)
  
  1. College of Meteorology and Oceanography, PLA University of Science and Technology, Nanjing, 211101, P. R. China
  
• ISSN：1573-2754

文摘

This paper puts forward a new method to solve the electromagnetic parabolic equation (EMPE) by taking the vertically-layered inhomogeneous characteristics of the atmospheric refractive index into account. First, the Fourier transform and the convolution theorem are employed, and the second-order partial differential equation, i.e., the EMPE, in the height space is transformed into first-order constant coefficient differential equations in the frequency space. Then, by use of the lower triangular characteristics of the coefficient matrix, the numerical solutions are designed. Through constructing analytical solutions to the EMPE, the feasibility of the new method is validated. Finally, the numerical solutions to the new method are compared with those of the commonly used split-step Fourier algorithm.