Parabolic Equation Modeling of Propagation over Terrain Using Digital Elevation Model
The parabolic equation method based on digital elevation model (DEM) is applied on propagation predictions over irregular terrains. Starting from a parabolic approximation to the Helmholtz equation, a wide-angle parabolic equation is deduced under the assumption of forward propagation and the split-...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2018/1878307 |
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| _version_ | 1832553305027379200 |
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| author | Xiao-Wei Guan Li-Xin Guo Ya-Jiao Wang Qing-Liang Li |
| author_facet | Xiao-Wei Guan Li-Xin Guo Ya-Jiao Wang Qing-Liang Li |
| author_sort | Xiao-Wei Guan |
| collection | DOAJ |
| description | The parabolic equation method based on digital elevation model (DEM) is applied on propagation predictions over irregular terrains. Starting from a parabolic approximation to the Helmholtz equation, a wide-angle parabolic equation is deduced under the assumption of forward propagation and the split-step Fourier transform algorithm is used to solve it. The application of DEM is extended to the Cartesian coordinate system and expected to provide a precise representation of a three-dimensional surface with high efficiency. In order to validate the accuracy, a perfectly conducting Gaussian terrain profile is simulated and the results are compared with the shift map. As a consequence, a good agreement is observed. Besides, another example is given to provide a theoretical basis and reference for DEM selection. The simulation results demonstrate that the prediction errors will be obvious only when the resolution of the DEM used is much larger than the range step in the PE method. |
| format | Article |
| id | doaj-art-0027882f192b404f9c5725feabb3c30f |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-0027882f192b404f9c5725feabb3c30f2025-02-03T05:54:13ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772018-01-01201810.1155/2018/18783071878307Parabolic Equation Modeling of Propagation over Terrain Using Digital Elevation ModelXiao-Wei Guan0Li-Xin Guo1Ya-Jiao Wang2Qing-Liang Li3School of Physics and Optoelectronic Engineering, Xidian University, Xi’an 710071, ChinaSchool of Physics and Optoelectronic Engineering, Xidian University, Xi’an 710071, ChinaSchool of Physics and Optoelectronic Engineering, Xidian University, Xi’an 710071, ChinaChina Research Institute of Radio Wave Propagation, Qingdao 266107, ChinaThe parabolic equation method based on digital elevation model (DEM) is applied on propagation predictions over irregular terrains. Starting from a parabolic approximation to the Helmholtz equation, a wide-angle parabolic equation is deduced under the assumption of forward propagation and the split-step Fourier transform algorithm is used to solve it. The application of DEM is extended to the Cartesian coordinate system and expected to provide a precise representation of a three-dimensional surface with high efficiency. In order to validate the accuracy, a perfectly conducting Gaussian terrain profile is simulated and the results are compared with the shift map. As a consequence, a good agreement is observed. Besides, another example is given to provide a theoretical basis and reference for DEM selection. The simulation results demonstrate that the prediction errors will be obvious only when the resolution of the DEM used is much larger than the range step in the PE method.http://dx.doi.org/10.1155/2018/1878307 |
| spellingShingle | Xiao-Wei Guan Li-Xin Guo Ya-Jiao Wang Qing-Liang Li Parabolic Equation Modeling of Propagation over Terrain Using Digital Elevation Model International Journal of Antennas and Propagation |
| title | Parabolic Equation Modeling of Propagation over Terrain Using Digital Elevation Model |
| title_full | Parabolic Equation Modeling of Propagation over Terrain Using Digital Elevation Model |
| title_fullStr | Parabolic Equation Modeling of Propagation over Terrain Using Digital Elevation Model |
| title_full_unstemmed | Parabolic Equation Modeling of Propagation over Terrain Using Digital Elevation Model |
| title_short | Parabolic Equation Modeling of Propagation over Terrain Using Digital Elevation Model |
| title_sort | parabolic equation modeling of propagation over terrain using digital elevation model |
| url | http://dx.doi.org/10.1155/2018/1878307 |
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