Comparative analysis of finite‐difference and split‐step based parabolic equation methods for tunnel propagation modelling

Abstract Radio wave propagation modelling in railway environments is of fundamental importance in designing reliable train communication systems. Parabolic equation (PE) methods have been widely applied to the modelling of wave propagation in tunnels due to their high computational efficiency and fi...

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Main Authors: Hao Qin, Xingqi Zhang
Format: Article
Language:English
Published: Wiley 2024-02-01
Series:IET Microwaves, Antennas & Propagation
Subjects:
Online Access:https://doi.org/10.1049/mia2.12439
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author Hao Qin
Xingqi Zhang
author_facet Hao Qin
Xingqi Zhang
author_sort Hao Qin
collection DOAJ
description Abstract Radio wave propagation modelling in railway environments is of fundamental importance in designing reliable train communication systems. Parabolic equation (PE) methods have been widely applied to the modelling of wave propagation in tunnels due to their high computational efficiency and fidelity. The finite‐difference parabolic equation (FDPE) and the split‐step parabolic equation (SSPE) methods are two commonly used approaches to solve PE numerically. However, the relevant literature is still missing a comprehensive study of their performance, including the selection of parameters such as discretisation steps and the tradeoffs involved in terms of their accuracy and efficiency, especially as current wireless systems shift to high frequencies. In this study, a systematic analysis of the error and computational complexity of the FDPE and SSPE methods for radio wave propagation modelling in tunnels is provided. Guidelines for the choice of their parameters are provided, and their performance is demonstrated through both numerical examples and experimental measurements in actual tunnel cases.
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spelling doaj.art-c0d849d3cc234a49967e9c5f6a4674f62024-02-21T03:51:36ZengWileyIET Microwaves, Antennas & Propagation1751-87251751-87332024-02-01182597210.1049/mia2.12439Comparative analysis of finite‐difference and split‐step based parabolic equation methods for tunnel propagation modellingHao Qin0Xingqi Zhang1School of Electrical and Electronic Engineering University College Dublin Dublin IrelandSchool of Electrical and Electronic Engineering University College Dublin Dublin IrelandAbstract Radio wave propagation modelling in railway environments is of fundamental importance in designing reliable train communication systems. Parabolic equation (PE) methods have been widely applied to the modelling of wave propagation in tunnels due to their high computational efficiency and fidelity. The finite‐difference parabolic equation (FDPE) and the split‐step parabolic equation (SSPE) methods are two commonly used approaches to solve PE numerically. However, the relevant literature is still missing a comprehensive study of their performance, including the selection of parameters such as discretisation steps and the tradeoffs involved in terms of their accuracy and efficiency, especially as current wireless systems shift to high frequencies. In this study, a systematic analysis of the error and computational complexity of the FDPE and SSPE methods for radio wave propagation modelling in tunnels is provided. Guidelines for the choice of their parameters are provided, and their performance is demonstrated through both numerical examples and experimental measurements in actual tunnel cases.https://doi.org/10.1049/mia2.12439electromagnetic wave propagationparabolic equationsradiowave propagationtunnels
spellingShingle Hao Qin
Xingqi Zhang
Comparative analysis of finite‐difference and split‐step based parabolic equation methods for tunnel propagation modelling
IET Microwaves, Antennas & Propagation
electromagnetic wave propagation
parabolic equations
radiowave propagation
tunnels
title Comparative analysis of finite‐difference and split‐step based parabolic equation methods for tunnel propagation modelling
title_full Comparative analysis of finite‐difference and split‐step based parabolic equation methods for tunnel propagation modelling
title_fullStr Comparative analysis of finite‐difference and split‐step based parabolic equation methods for tunnel propagation modelling
title_full_unstemmed Comparative analysis of finite‐difference and split‐step based parabolic equation methods for tunnel propagation modelling
title_short Comparative analysis of finite‐difference and split‐step based parabolic equation methods for tunnel propagation modelling
title_sort comparative analysis of finite difference and split step based parabolic equation methods for tunnel propagation modelling
topic electromagnetic wave propagation
parabolic equations
radiowave propagation
tunnels
url https://doi.org/10.1049/mia2.12439
work_keys_str_mv AT haoqin comparativeanalysisoffinitedifferenceandsplitstepbasedparabolicequationmethodsfortunnelpropagationmodelling
AT xingqizhang comparativeanalysisoffinitedifferenceandsplitstepbasedparabolicequationmethodsfortunnelpropagationmodelling