On application of the finite-difference Padé approximation of the pseudo-differential parabolic equation to the tropospheric radio wave propagation problem





Helmholtz equation, parabolic equation, radio wave propagation, Padé approximation


This paper is devoted to the numerical simulation of electromagnetic wave propagation in an inhomogeneous troposphere. The study is based on the wide-angle generalizations of the parabolic wave equation. The finite-difference Padé approximation is used to approximate the propagation operator. It is important that, within the proposed approach, the Padé approximation is carried out simultaneously along with the longitudinal and transverse coordinates. At the same time, the proposed approach gives an opportunity to model an arbitrary tropospheric refractive index. The method does not impose restrictions on the maximum propagation angle. The comparison with the split-step Fourier method and the geometric theory of diffraction is discussed. The advantages of the proposed approach are shown.

Author Biography

M. S. Lytaev


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How to Cite

Лытаев М.С. On Application of the Finite-Difference Padé Approximation of the Pseudo-Differential Parabolic Equation to the Tropospheric Radio Wave Propagation Problem // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2020. 21. 405-419. doi 10.26089/NumMet.v21r433



Methods and algorithms of computational mathematics and their applications