二阶阻抗边界条件下三维抛物方程的交替隐式差分方法研究  

Study on the ADI Method for 3DPE with Second Order Impedance Boundary Conditions

作　　者：杨培东[1] 钟选明[1] 张青洪[1] 廖成[1] 

机构地区：[1]西南交通大学电磁场与微波技术研究所,成都610031

出　　处：《科学技术与工程》2016年第10期34-38,共5页Science Technology and Engineering

基　　金：国家自然科学基金委和中物院联合基金(U1330109);中物院复杂电磁环境科学与技术重点实验室基金资助

摘　　要：针对损耗地面Leontovich阻抗边界条件下,三维抛物方程CNFD方法计算效率与计算精度较低的不足,研究了二阶阻抗边界条件下三维抛物方程的ADI方法。采用ADI技术处理了二阶阻抗边界条件下的三维抛物方程,得到其差分格式;利用二阶阻抗边界条件下三维抛物方程计算了电波传播的算例。算例表明:相比Leontovich阻抗边界条件,二阶阻抗边界条件具有更广的适用范围和更高的计算精度;相比传统的CNFD方法,采用ADI技术处理三维抛物方程以及阻抗边界条件,能够在城市小区基站天线覆盖性能的模拟中极大地提高计算效率。The Leontovich impedance boundary conditions have been widely used in electromagnetic calculation,but they are not accurate enough in certain circumstances.To improve the 3DPE-CNFD method with Leontovich impedance boundary conditions,the ADI difference scheme of 3DPE with the second-order impedance boundary conditions were deduced.Numerical applications were discussed to show that the second-order impedance boundary conditions have wider range and higher accuracy compared to the Leontovich impedance boundary conditions,and meanwhile,the calculation efficiencies in simulation of antenna coverage performance in urban cells are greatly improved by using ADI difference scheme of 3DPE.

关 键 词：ADI 三维抛物方程 阻抗边界条件 电波传播 传播因子 

分 类 号：TN011[电子电信—物理电子学]