Hybrid algorithm of radio wave propagation based on parabolic equation in cylindrical coordinates and method of moments
-
摘要:
针对包含近源障碍物条件下的电波传播问题,提出了一种新颖的电波传播预测混合建模方法:矩量法(MOM)和圆柱坐标系抛物方程法(PEM)混合建模方法(MOM-PEM);MOM用于包含辐射源和近源障碍物的小圆柱区域内的电波传播建模,PEM用于MOM计算空间外的大区域范围内电波传播建模。MOM和PEM的计算过渡区域进行精细化网格剖分处理以避免场强数值传递的不兼容。仿真模拟了三类近源障碍物存在场景下的电波传播问题:有限开窗屏障碍物、立方体障碍物以及包含辐射源的半封闭空间障碍物,并将混合算法计算得到的结果和相同环境下采用全矩量法计算得到的结果进行了数值对比,结果表明混合算法和矩量法在精度上吻合较好。
Abstract:In this paper, a novel hybrid modeling method is proposed for radio wave propagation prediction. This method is based on parabolic equation in cylindrical coordinates and method of moments. The method of moments is used to model the radio wave propagation in the small cylindrical region containing the radiation source and the near source obstacle, and the parabolic equation in cylindrical coordinate system is used to model the radio wave propagation in a large region outside method of moments region. The transition surface between method of momenst and parabolic equation is carefully treated to avoid the incompleteness of numerical calculation. The hybrid algorithm proposed in this paper is suitable for predicting the radio wave propagation under various conditions, and it is applied for three different scenarios: the near source region contains a finite windowed obstacle, a finite cube obstacle and a semi-closed cube space obstacle. The calculation results of the hybrid algorithm are compared to those obtained from full method of moment implementations of the same scenarios to verify its accuracy.
-
[1] Johnson J T, Shin J C, Edison J C, et al. A method of moments model for VHF propagation[J]. IEEE Trans Antennas and Propagation, 1997, 45(1): 115-125. doi: 10.1109/8.554248 [2] Akleman F, Sevgil. A novel MoM- and SSPE-based groundwave-propagation field-strength prediction simulator[J]. IEEE Antennas and Propagation Magazine, 2007, 49(5): 69-82. doi: 10.1109/MAP.2007.4395296 [3] Yee K. Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media[J]. IEEE Trans Antennas and Propagation, 1996, 14(3): 302-307. [4] Akleman F, Sevgil. A novel implementation of Berenger’s PML for FDTD applications[J]. IEEE Microwave and Guided Wave Letters, 1998, 8(10): 324-326. doi: 10.1109/75.735409 [5] Pichon L. Finite element analysis of bounded and unbounded electromagnetic wave problems[C]//IEE Colloquium on High Frequency Electromagnetic Modelling Techniques. 1995: 1/1-1/3. [6] Grubisic S, Carpes W P, Lima C B, et al. Ray-tracing propagation model using image theory with a new accurate approximation for transmitted rays through walls[J]. IEEE Trans Magnetics, 2006, 42(4): 835-838. doi: 10.1109/TMAG.2006.871673 [7] 朱艳菊, 江月松, 辛灿伟, 等. 应用改进的物理光学法和图形计算电磁学近似算法快速计算导体目标电磁散射特性[J]. 物理学报, 2014, 63(16):182-188. (Zhu Yanju, Jiang Yuesong, Xin Canwei, et al. Fast computation of electromagnetic scattering characteristics from conducting targets using modified-physical optics and graphical electromagnetic computing[J]. Acta Physica Sinica, 2014, 63(16): 182-188 [8] Medeisis A, Kajackas A. On the use of universal Okumura-Hata Propagation prediction model in rural areas[C]//IEEE 51st Vehicular Technology Conference Proceeding. 2000, 3: 1815-1818. [9] Alamoud M A, Schutz W. Okumura-Hata model tuning for TETRA mobile radio networks in Saudi Arabia[C]//2nd International Conference on Advances in Computational Tools for Engineering Application. 2012: 47-51. [10] Capizzi G, Coco S, Laudani A, et al. A new tool for the identification and localization of electromagnetic sources by using independent component analysis[J]. IEEE Trans Magnetics, 2007, 43(4): 1625-1628. doi: 10.1109/TMAG.2006.892251 [11] Weiner M. Use of the Longley-Rice and Johnson-Gierhart tropospheric radio propagation programs: 0.02-20 GHz[J]. IEEE Journal on Selected Areas in Communications, 1986, 4(2): 297-307. doi: 10.1109/JSAC.1986.1146313 [12] Zuliang W, Mao Z, Juan W, et al. Improved algorithm of atmospheric refraction error in Longley-Rice channel model[J]. Journal of Systems Engineering and Electronics, 2008, 19(4): 683-687. doi: 10.1016/S1004-4132(08)60139-5 [13] Leontovich M A, Fock V A. Solution of the problem of propagation of electromagnetic waves along the Earth’s surface by method of parabolic equation[J]. Journal of Physics of the USSR, 1946, 10(1): 13-24. [14] Dockery G D. Modeling electromagnetic wave propagation in the troposphere using the parabolic equation[J]. IEEE Trans Antennas and Propagation, 1988, 36(10): 1464-1470. doi: 10.1109/8.8634 [15] Dockery D, Kuttler J R. An improved impedance-boundary algorithm for Fourier split-step solutions of the parabolic wave equation[J]. IEEE Trans Antennas and Propagation, 1996, 44(12): 1592-1599. doi: 10.1109/8.546245 [16] 胡绘斌. 预测复杂环境下电波传播特性的算法研究[D]. 长沙: 国防科学技术大学, 2006.Hu Huibing. Study on the algorithms of predicting the radio propagation characteristics in complex environments[D]. Changsha: National University of Defense Technology, 2006 [17] 周亮. 大区域复杂地理环境的交替方向分解抛物方程电波传播模型及其应用研究[D]. 成都: 西南交通大学, 2018.Zhou Liang. Study on the ADD-PE method and its applications for radio propagation problems in large geometric environment[D]. Chengdu: Southwest Jiaotong University, 2018