基于Z变换在平板透镜成像中的FDTD分析  

FDTD analysis of the flat slab lens imaging based on Z-transform

作　　者：马五星[1] 吴先良[1] 时晶晶[1] 罗伟[1] 

机构地区：[1]安徽大学计算智能与信号处理教育部重点实验室,安徽合肥230039

出　　处：《合肥工业大学学报（自然科学版）》2009年第7期1097-1100,共4页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(60671051)

摘　　要：文章研究了分析双负媒质平板成像规律的一种方法,双负介质的介电系数和磁导系数均为频率的函数,使本构关系在时域成为卷积关系,这就给应用时域有限差分(FDTD)方法计算双负媒质平板中波的散射和传播带来困难;因此将Z变换理论应用到双负媒质中的FDTD计算当中,对麦克斯韦方程做了修改,使得FDTD计算式独立于双负媒质函数,并给出双负媒质中与频率有关的FDTD表达式;数值仿真了电磁波与双负媒质平板的相互作用,详细讨论了双负媒质平板透镜成像理论,并提出了一种球差更小的平板透镜系统。This paper studies a method of analyzing the flat slab lens imaging. The analysis of electromagnetic scattering and propagation in the double-negative（DNG） medium is complicated in the time domain since its permittivity and permeability are frequency-dependent. In order to make the FDTD expression independent of the double-negative medium function, Z-transform is applied to the FDTD method in the double-negative medium. The frequency-dependent expressions of the FDTD in the double-negative medium are given. The interaction between the electromagnetic wave and the DNG medium is simulated, the double negative medium flat lens imaging theory is discussed in detail, and the flat lens system which has smaller spherical aberration is proposed.

关 键 词：双负(DNG)媒质 Z变换 时域有限差分法 平板透镜 

分 类 号：TN011[电子电信—物理电子学]