近零折射率超材料波导加载系统中数理方程的求解及COMSOL仿真
发布时间：2018-12-30 16:36
【摘要】：近零折射率超材料波导中加载介质缺陷的电磁波传输特性的分析归结为"数学物理方法"中亥姆霍兹方程非齐次边值问题的求解,可采用多种求解偏微分方程的方法进行分析.本文用分离变量法对这一问题的两个典型实例进行了解析求解,并通过基于有限元法的多物理场耦合仿真软件COMSOL Multiphysics进一步对照,从而验证了理论分析的正确性.对更一般的问题采用COMSOL进行了数值计算和仿真,其适用性更为普遍.
[Abstract]:The analysis of electromagnetic wave propagation characteristics of loaded dielectric defects in near-zero refractive index metamaterial waveguides can be attributed to the solution of nonhomogeneous boundary value problems of Helmholtz equation in "Mathematical and physical methods", which can be analyzed by many methods of solving partial differential equations. In this paper, two typical examples of this problem are analytically solved by using the method of separating variables, and the correctness of the theoretical analysis is verified by comparing the simulation software COMSOL Multiphysics based on the finite element method with the multi-physical field coupling software. More general problems are numerically calculated and simulated by COMSOL, and its applicability is more common.
【作者单位】： 太原理工大学物理与光电工程学院;
【基金】：2014年度太原理工大学“本科教育教学改革项目” 2014年度高等学校“数学物理方法”课程专业教学指导委员会研究项目[JZW-14-SL-12]资助
【分类号】：O441;TB39
[Abstract]:The analysis of electromagnetic wave propagation characteristics of loaded dielectric defects in near-zero refractive index metamaterial waveguides can be attributed to the solution of nonhomogeneous boundary value problems of Helmholtz equation in "Mathematical and physical methods", which can be analyzed by many methods of solving partial differential equations. In this paper, two typical examples of this problem are analytically solved by using the method of separating variables, and the correctness of the theoretical analysis is verified by comparing the simulation software COMSOL Multiphysics based on the finite element method with the multi-physical field coupling software. More general problems are numerically calculated and simulated by COMSOL, and its applicability is more common.
【作者单位】： 太原理工大学物理与光电工程学院;
【基金】：2014年度太原理工大学“本科教育教学改革项目” 2014年度高等学校“数学物理方法”课程专业教学指导委员会研究项目[JZW-14-SL-12]资助
【分类号】：O441;TB39
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