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International Journal of Antennas and Propagation
Volume 2018 (2018), Article ID 5765913, 10 pages
Research Article

Parabolic Equation Accumulated Split Error and Its Correction Method for Tropospheric Radio Propagation

1School of Zhengzhou Information Science and Technology Institute, Zhengzhou, China
2University of Zhengzhou, Zhengzhou, China
3China Research Institute of Radio Wave Propagation, Xinxiang, China

Correspondence should be addressed to Xiaoyan Du; moc.361@83103831751

Received 22 October 2017; Accepted 21 January 2018; Published 2 April 2018

Academic Editor: Sotirios K. Goudos

Copyright © 2018 Peipei Wei et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An increasingly popular approach of modeling electromagnetic wave propagation in the troposphere is to use the slip-step Fourier transform (SSFT) numerical algorithm to solve a parabolic equation (PE). However, available SSFT does not provide perfect solutions by introducing accumulated split error (ASE) for its step-by-step iteration process with a fixed propagation range step. The common analysis on one step split error is only a simple discussion on the split error of PE. Therefore, the main motivation of this study is to provide improvement on the accuracy of the PE by proposing an error correction method for the first time in the literature for PE. This method is on the basis of defining and deriving the accumulated split error. Its performance is then demonstrated with measured radar sea clutter data from Huanghai Sea, China.