时域非连续伽辽金法在谐振腔中的应用  

Analysis of resonant cavity by discontinuous Galerkin time domain method

作　　者：杨谦[1,2] 魏兵[1,2] 李林茜[1,2] 葛德彪[1,2] 王飞[1,2] 

机构地区：[1]西安电子科技大学物理与光电工程学院,西安710071 [2]西安电子科技大学信息感知技术协同创新中心,西安710071

出　　处：《电波科学学报》2016年第4期707-712,共6页Chinese Journal of Radio Science

基　　金：国家自然科学基金(61231003;61401344;61571348)

摘　　要：给出了时域非连续伽辽金(Discontinuous Galerkin Time Domain,DGTD)法的基本思想,从Maxwell方程出发得到弱解形式和矩阵方程,进一步给出了DGTD步进计算式.计算了空腔和填充谐振腔的谐振频率,并与解析结果相比较.算例表明在谐振腔计算中DGTD可以达到很高的精度.In this paper, the principle of discontinuous Galerkin time domain （DGTD） based on vector basis function is described. Weak solutions and matrix formulations from Maxwell equations are given, and the leapfrog equations are presented. The resonant frequencies of the resonator which contains vacuum and a medium plate are calculated respectively by DGTD. The numerical results which are compared with analytical solutions show that the DGTD technique could achieve high accuracy in dealing with resonator problems.

关 键 词：非连续伽辽金法 时域有限元 谐振腔 

分 类 号：O441.4[理学—电磁学]