Abstract
To predict the propagation of radio waves in the environment of dielectric ground and dielectric obstacles, a new two-way parabolic equation (2W-PE) method based on the domain decomposition principle and surface impedance boundary conditions (SIBC) is proposed. First, we decompose the obstacle area into different subdomains and derive the SIBC in each subdomain in detail; then, the discrete hybrid Fourier transform (DMFT) in the upper subdomain and finite difference (FD) algorithm in the lower subdomain is used to solve 2W-PE combined with SIBC, respectively. After that, we explain the algorithm steps in the process of calculating the total field, compared with the traditional 2W-PE, and then finally introduce the method of moments (MoM) combined with the enhanced discrete complex image (E-DCIM) method for accuracy verification of the new 2W-PE algorithm. The simulation results show that no matter how the obstacle medium parameters change, the results of 2W-PE method proposed in this paper and MoM are always in good agreement, which proves the accuracy of 2W-PE and its superiority in speed. Therefore, this paper provides a reliable and efficient method for solving the problem of radio wave propagation in the presence of obstacles, especially in the case of low-lossy obstacles.
Highlights
In many fields of contemporary society, especially the fields of communication and national defense construction, it is becoming more and more important to predict the field value quickly and accurately
The terrain is usually undulating which reflects and transmits electromagnetic waves in a complex manner, and the undulations of the ground usually have a great influence on the propagation of radio waves in the troposphere. erefore, it is important to study methods that can effectively predict the spatial field value under the influence of irregular terrain. e parabolic equation (PE) method [1] is a numerical calculation approach widely used in radio wave propagation modelling and tropospheric propagation prediction in recent years
When using 2W-PE to solve the radio wave propagation problem, we only care about the field above the ground, so the impedance boundary condition is used to deal with the influence of the field below the radio wave propagation in total space as the field value relationship is obtained on the boundary. us, we only need to calculate the field strength of the upper half space, without calculating the field distribution of the lower space, which greatly saves the amount of calculation and storage space
Summary
In many fields of contemporary society, especially the fields of communication and national defense construction, it is becoming more and more important to predict the field value quickly and accurately. When using 2W-PE to solve the radio wave propagation problem, we only care about the field above the ground, so the impedance boundary condition is used to deal with the influence of the field below the radio wave propagation in total space as the field value relationship is obtained on the boundary. Erefore, Wei et al [7] derives MoM model in the case of undulating terrain and accurately solves the field distribution in the obstacle environment space, but it is only applicable to PEC ground. Aiming at the problem above, this paper proposes a 2WPE method based on the principle of domain decomposition and SIBC, which can solve the total field distribution in complex environment with medium obstacles and overcome the shortcomings of 2W-PE that are limited by the terrain inclination and neglect field inside obstacle terrain.
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