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基于径向基函数的无网格法分析非均匀左手介质填充波导

ANALYSIS OF INHOMOGENEOUS LEFT-HANDED DIELECTRICS FILLED WAVEGUIDES BY USING THE MESHLESS METHOD BASED ON THE RADIAL BASIS FUNCTION
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摘要 非均匀左手介质填充波导传播特性的精确求解是器件设计和优化的理论基础,目前已有的数值计算方法在分析非均匀波导时,存在计算量大、消耗存储资源和精确度低等问题。将基于径向基函数的无网格法应用于非均匀左手介质填充波导特征值的计算中。这种方法结合变分公式和基于径向基函数的无网格法,得到了一个实数的、对称的特征矩阵;通过求解特征矩阵的特征值,获得非均匀左手介质填充波导的传播常数β。计算了几种典型的非均匀结构的传播特性曲线,与解析法的结果具有非常好的一致性,验证了该方法在分析非均匀左手介质填充波导中的准确性和可靠性。计算结果与基于有限元法的电磁分析软件HFSS的仿真结果一致,并且在相同的精度要求下,该方法比HFSS的分析速度更快,因此该方法在分析非均匀波导时的效率更高。 Accurate computation of the propagation characteristics in the inhomogeneous left-handed dielectrics filled waveguides are the fundamentals for the design and optimization of the devices and systems.The existing numerical calculation methods have significant drawbacks such as requiring large amount of computation,occupying storage resources,and lacking of precision when analyzing inhomogeneous waveguides.A meshless method based on the radial basis function was used to calculate the propagation characteristics of inhomogeneous waveguides filled with left-handed dielectrics.This method was based on the combination of a variational formulation and a meshless method using the radial basis function,and it led to a real symmetric eigen matrix.The propagation constantβcould be obtained by solving the eigenvalues of the matrix.The propagation characteristics curves of several typical inhomogeneous structures were computed,and the results had good consistency with the results of analytical method,which verified the accuracy and implementability of the proposed method.The results of this method agree well with the simulation results of HFSS,which is an electromagnetic analysis software based on the finite element method.This method's analysis speed is faster than HFSS simulation with the same accuracy.Therefore,this method is more efficient in the analysis of inhomogeneous waveguides.
作者 翁倩茹 卢楚杰 潘思辰 谢恩德 Weng Qianru;Lu Chujie;Pan Sichen;Xie Ende(School of Intelligent Manufacturing,Chengdu Technological University,Chengdu 611730,Sichuan,China;School of Computers,Guangdong University of Technology,Guangzhou 510006,Guangdong,China)
出处 《计算机应用与软件》 北大核心 2022年第11期78-82,167,共6页 Computer Applications and Software
基金 广东省引进领军人才项目(2016LJ06D557) 青岛海洋科学与技术试点国家实验室鳌山人才培养计划项目(2017ASTCP-OS03)。
关键词 左手介质 非均匀波导 特征方程 传播特性 径向基函数 无网格法 Left-handed material Inhomogeneous waveguides Eigen equations Propagation characteristics Radial basis function Meshless method
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