Accuracy of parabolic wave equation method in short propagation range

Omaki, Nobutaka; Yun, Zhengqing; Iskander, Magdy F.

doi:10.1109/aps.2012.6349090

Cited by 4 publications

(3 citation statements)

References 3 publications

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“…In addition, various full-wave numerical methods have also been proposed for accuracy verification. Nobutaka Omaki et al [17] used finite-difference time-domain (FDTD) method to verify the accuracy of the parabolic method when the propagation angle is large. Apaydm and Sevgi [14] proposed a method that verifies the wave propagation problem in free space by the method of moments (MoM), where an accurate source modelling is applied and the ground is subdivided into segments.…”

Section: Introductionmentioning

confidence: 99%

Research and verification for an improved two‐way parabolic equation method in obstacle environment

Wei

Yin

2018

IET Microwaves, Antennas & Propagation

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An improved two‐way parabolic equation (2WPE) method for predicting radio wave propagation in obstacle environment is proposed. Classical 2WPE is mainly utilised for calculating radio propagation under irregular terrain by taking the undulating ground and obstacles as a whole, which yields calculation precision is very limited by the terrain inclination. In order to address the above problems, according to the principle of domain decomposition, by dividing the obstacles and the ground into different zones, 2WPE can be improved to calculate the fields in obstacle environment. With the improved 2WPE, the real phases of both the forward and backward waves can be retrieved when a radio wave entering and leaving the obstacles, and the total field can be obtained by superposition of forward and backward waves. After that, method of moments (MoM) is applied to verify the accuracy of the improved 2WPE in the short distance. In the simulation, the equivalent source model is used to unify the initial field or source settings of 2WPE and MoM to improve the verification precision. The accuracy and superiority of the improved 2WPE are proved, which lays a foundation for the analysis of radio wave propagation in the more complex environment.

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Section: Introductionmentioning

confidence: 99%

Research and verification for an improved two‐way parabolic equation method in obstacle environment

Wei

Yin

2018

IET Microwaves, Antennas & Propagation

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“…Most importantly, the PE method characterizes only forward-propagating waves, and neglects backward-propagating waves, which may produce significant errors over steep terrain [12]. More recently, the PE method is examined in short ranges against the FDTD method to obtain fast and accurate numerical simulation [11]. Hence, it is essential to appropriately estimate how accuracy the PE method can achieve in the presence of obstacles before application.…”

Section: Introductionmentioning

confidence: 99%

“…The FDTD method has been shown to be the most precise one for arbitrary terrain, but its time step size is limited by the well-known Courant-FriedrichLevy (CFL) stability condition, which leads to large total simulation time [1]. The PE method is efficient for the propagation of LF EM waves over long distances, whereas its accuracy is restricted at certain angles due to the paraxial approximation [10], [11]. Most importantly, the PE method characterizes only forward-propagating waves, and neglects backward-propagating waves, which may produce significant errors over steep terrain [12].…”

Section: Introductionmentioning

confidence: 99%

Accuracy of Parabolic Equation Method for Modeling LF Electromagnetic Wave Propagation

Zhou¹,

Wang

et al. 2017

Proceedings of the 2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017)

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Abstract-The parabolic equation (PE) method, based on the split-step Fourier transform (SSFT) algorithm, has been used to model low-frequency (LF) electromagnetic (EM) wave propagation owing to its efficiency. However, the PE method is derived under the paraxial approximation so that its accuracy is guaranteed only for limited propagation angles from the paraxial direction. Most importantly, the PE method models only one-way forward EM propagation and neglects the backward one, which may become significant in the presence of steep terrain. Therefore, it is essential to properly estimate the accuracy of both narrow-angle (NA) PE (NAPE) and wide-angle (WA) PE (WAPE) methods for LF EM wave propagation prediction over irregular terrain. Since the finite-difference time-domain (FDTD) method has been proven to be the most precise method, in this paper, both the NAPE and WAPE methods are calibrated against finitedifference time-domain (FDTD) method over various paths.

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