Applying the Parabolic Equation to Tropospheric Groundwave Propagation: A review of recent achievements and significant milestones

Pei, Zeguang; Bai, Lu; Wu, Zhensen; Guo, Lixin

doi:10.1109/map.2016.2541620

Cited by 50 publications

(28 citation statements)

References 99 publications

(116 reference statements)

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“…It needs to consider the left and right BCs as well as the upper and lower BCs like the 2DPE. And the most used left and right BCs of 3DPE are the window function BCs [12].…”

Section: International Journal Of Antennas and Propagationmentioning

confidence: 99%

Combination of the Improved Diffraction Nonlocal Boundary Condition and Three-Dimensional Wide-Angle Parabolic Equation Decomposition Model for Predicting Radio Wave Propagation

Wang

Zhang

et al. 2017

International Journal of Antennas and Propagation

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Diffraction nonlocal boundary condition (BC) is one kind of the transparent boundary condition which is used in the finitedifference (FD) parabolic equation (PE). The greatest advantage of the diffraction nonlocal boundary condition is that it can absorb the wave completely by using one layer of grid. However, the speed of computation is low because of the time-consuming spatial convolution integrals. To solve this problem, we introduce the recursive convolution (RC) with vector fitting (VF) method to accelerate the computational speed. Through combining the diffraction nonlocal boundary with RC, we achieve the improved diffraction nonlocal BC. Then we propose a wide-angle three-dimensional parabolic equation (WA-3DPE) decomposition algorithm in which the improved diffraction nonlocal BC is applied and we utilize it to predict the wave propagation problems in the complex environment. Numeric computation and measurement results demonstrate the computational accuracy and speed of the WA-3DPE decomposition model with the improved diffraction nonlocal BC.

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“…It needs to consider the left and right BCs as well as the upper and lower BCs like the 2DPE. And the most used left and right BCs of 3DPE are the window function BCs [12].…”

Section: International Journal Of Antennas and Propagationmentioning

confidence: 99%

Combination of the Improved Diffraction Nonlocal Boundary Condition and Three-Dimensional Wide-Angle Parabolic Equation Decomposition Model for Predicting Radio Wave Propagation

Wang

Zhang

et al. 2017

International Journal of Antennas and Propagation

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“…Atmosphere absorbing, scattering, reflection, and refraction could affect radio propagation characteristics. In particular, the occurrence of tropospheric duct can make radio wave beyond-line-of-sight propagation [1], extending communication range and detection distance of radar system. This phenomenon also may cause radio holes and introduce new interfaces, which fundamentally can change the performance of a system that is designed to operate under standard atmospheric conditions [1].…”

Section: Introductionmentioning

confidence: 99%

“…It can deal with electromagnetic propagation problems in arbitrary irregular terrain and inhomogeneous atmosphere with the help of computer numeric calculation. Therefore, PE has been the most popular approach for tropospheric electromagnetic propagation [1][2][3][4][5][6][7][8][9][10]. According to propagation angle applied to the Helmholtz wave equation to obtain PE, PE can be divided into wide-angle PE (WPE) and narrowangel PE (or standard PE (SPE)).…”

Section: Introductionmentioning

confidence: 99%

“…At present, there are mainly three algorithms to solve PE: split-step Fourier transform (SSFT) [1], finite difference schemes [11], and finite element method [12], where SSFT has the advantage of higher numerical stability and thus is widely used to solve PE for tropospheric propagation problems. However, PE has approximation error due to paraxial approximation and split error as a result of exponent operator split using SSFT, where approximation error is its inherent drawback.…”

Section: Introductionmentioning

confidence: 99%

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

Wei

Du²,

et al. 2018

International Journal of Antennas and Propagation

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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.

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“…Além disso, o tratamento rigoroso de uma troposfera não-homogênea pelo método de equação integral é extremamente difícil [77,78]. [98].…”

Section: Métodos De Soluçãounclassified

Análise da propagação troposférica sobre terrenos irregulares em VHF e UHF utilizando equações parabólicas e o desenvolvimento de um novo modelo híbrido para predição de perda de percurso

Vasconcelos¹

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Applying the Parabolic Equation to Tropospheric Groundwave Propagation: A review of recent achievements and significant milestones

Cited by 50 publications

References 99 publications

Combination of the Improved Diffraction Nonlocal Boundary Condition and Three-Dimensional Wide-Angle Parabolic Equation Decomposition Model for Predicting Radio Wave Propagation

Combination of the Improved Diffraction Nonlocal Boundary Condition and Three-Dimensional Wide-Angle Parabolic Equation Decomposition Model for Predicting Radio Wave Propagation

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

Análise da propagação troposférica sobre terrenos irregulares em VHF e UHF utilizando equações parabólicas e o desenvolvimento de um novo modelo híbrido para predição de perda de percurso

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