应用数学和力学（英文版）
應用數學和力學（英文版）
응용수학화역학（영문판）
APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION)
2013年
11期
1373-1382
,共10页
electromagnetic parabolic equation (EMPE)%Fourier transform%convolu-tion theorem
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 coe?cient differential equations in the frequency space. Then, by use of the lower triangular characteristics of the coe?cient 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.
