【摘要】：近零折射率超材料波導(dǎo)中加載介質(zhì)缺陷的電磁波傳輸特性的分析歸結(jié)為"數(shù)學(xué)物理方法"中亥姆霍茲方程非齊次邊值問題的求解,可采用多種求解偏微分方程的方法進(jìn)行分析.本文用分離變量法對(duì)這一問題的兩個(gè)典型實(shí)例進(jìn)行了解析求解,并通過基于有限元法的多物理場(chǎng)耦合仿真軟件COMSOL Multiphysics進(jìn)一步對(duì)照,從而驗(yàn)證了理論分析的正確性.對(duì)更一般的問題采用COMSOL進(jìn)行了數(shù)值計(jì)算和仿真,其適用性更為普遍.
[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.
【作者單位】： 太原理工大學(xué)物理與光電工程學(xué)院;
【基金】：2014年度太原理工大學(xué)“本科教育教學(xué)改革項(xiàng)目” 2014年度高等學(xué)校“數(shù)學(xué)物理方法”課程專業(yè)教學(xué)指導(dǎo)委員會(huì)研究項(xiàng)目[JZW-14-SL-12]資助
【分類號(hào)】：O441;TB39

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本文編號(hào)：2395835