Upper boundary processing method through split-step Fourier transformation solution of electric wave propagation parabolic equation

Abstract

The invention belongs to the technical field of electromagnetic waves, and particularly relates to an upper boundary processing method through a split-step Fourier transformation solution of an electric wave propagation parabolic equation. The upper boundary processing method includes the following steps: 1), initializing a parabolic equation model and parameters, setting an initial field, point number of Fourier transformation and lower boundary conditions; 2), acquiring corresponding imaginary part increment according to a window function; 3), acquiring equivalent atmospheric correction refractive index according to atmospheric correction refractive index on a current step and the imaginary part increment; 4), performing step solving of the parabolic equation and zero setting of a highest-point field value; 5), repeating the steps 3-5 until reaching a computing domain end point. By the upper boundary processing method, processing speed during solving of an upper boundary absorption problem of electric wave propagation through the parabolic equation is increased; the upper boundary processing method is identical with a window function method in filter performance while operand is reduced, and the upper boundary processing method is significative under the condition of multi-refractive-index section.

Description

technical field [0001] The invention belongs to the technical field of electromagnetic waves, and in particular relates to an upper boundary processing method for a sub-step Fourier transform solution of an electric wave propagation parabolic equation. Background technique [0002] In recent years, military and civilian users have paid more and more attention to electromagnetic environment problems. When numerical methods are used to solve radio wave propagation problems, the wave equation simplified from the Maxwell equation is an elliptic equation, and the solution to one point means that all points in the calculation domain must be obtained at the same time. The solution of , when solving a large computational domain in real time, the calculation amount will be unacceptably large. If the refractive index of the atmosphere changes slowly in the horizontal direction, the elliptic wave equation can be decomposed into forward and backward propagation, and the parabolic equati...

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Problems solved by technology

[0002] In recent years, military and civilian users have paid more and more attention to electromagnetic environment problems. When numerical methods are used to solve radio wave propagation problems, the wave equation simplified from the Maxwell equation is an elliptic equation, and the solution to one point means that all points in the calculation domain must be obtained at the same time. solution, when solving a large computational domain in real time, the amount of computation will be unacceptably large

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