New method to solve electromagnetic parabolic equation  

作　　者：赵小峰 黄思训 康林春 

机构地区：[1]College of Meteorology and Oceanography, PLA University of Science and Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2013年第11期1373-1382,共10页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.41175025 and41275113)

摘　　要：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 convo- lution 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 ana- lytical 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.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 convo- lution 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 ana- lytical 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.

关 键 词：electromagnetic parabolic equation （EMPE） Fourier transform convolu-tion theorem 

分 类 号：O441[理学—电磁学] O175.26[理学—物理]