等效环路有限差分算法及其在人工复合材料设计中的应用  

An algorithm of equivalent curcuit of FDTD and its application to designing metamaterial structure

作　　者：刘立国[1] 吴微微[1] 吴礼林 莫锦军[1] 付云起[1] 袁乃昌[1] 

机构地区：[1]国防科技大学 电子科学与工程学院,长沙410073 [2]蚌埠汽车士官学校 基础部,蚌埠233011

出　　处：《物理学报》2013年第13期31-39,共9页Acta Physica Sinica

基　　金：新世纪优秀人才支持计划(批准号:NCET-10-0894);国家自然科学基金(批准号:60871069)资助的课题~~

摘　　要：本文实现了一种新颖的等效环路有限差分算法,这种算法借鉴传输线算法的思想,在Yee氏网格中引入等效集总元件,包括常规介质中的等效串联电感、并联电容和左手材料中的等效并联电感、串联电容等.良好的物理思想使其可以提供适用色散介质计算的收敛性条件,更加适合仿真计算频率选择表面和超材料等色散介质.为了提高其计算效率,研究了核内加速技术,这种技术理论上可达到最高4倍的加速,实际应用中得到2倍左右的加速效果.使用该算法进行了超材料吸波体结构的设计,通过单双环电阻加载实现宽带电磁波吸收功能.隐身天线罩对于实现天线的带外隐身有着重要作用,利用该算法设计了工作频率为1GHz,隐身频带在3GHz到9GHz的天线罩.并与两个加工样品的测量结果进行了比较,对比的结果验证了算法的正确性.同时核内加速技术的有效性也通过仿真时间比较得到了验证.A novel finite-difference time domain （FDTD） algorithm named equivalent circuit FDTD （EC-FDTD） is realized, which intro- duces lumped elements from transmission line theory into Yee cell. It includes lumped elements such as series inductance and shunt capacitance in the right-handed materials, as well as shunt inductance and series capacitance in the left-handed materials. Due to its promising physical thoughts, it can be easily generalized to arbitrary dispersive materials including frequency selective surfaces and metamaterials. The technology of streaming single-instruction multiple-data （SIMD） extensions （SSE） was proposed by Intel and is currently utilized in personal computers. SSE is a kind of parallel speedup technology in one core. The speedup can be achieved four times in principle without changing hardware. Combined with SSE, the EC-FDTD can be apparently accelerated. Twice speedup is achieved in the tests of this paper. The algorithm of EC-FDTD is utilized to design the wideband metamaterials absorbers by employing the single square and double square loops loaded with the lumped resistors. The invisible radome has a great impact on reducing the radar cross section of the antenna out of band. The radome is designed with operating frequency to be l GHz and the absent bandwidth from 3 GHz to 9 GHz by the algorithm. And then these prototypes are fabricated and measured. From the comparative results, the correctness of EC-FDTD and the speedup of the SSE are both verified.

关 键 词：等效环路有限差分算法 核内加速 超材料吸波体 隐身天线罩 

分 类 号：TB33[一般工业技术—材料科学与工程] TP301.6[自动化与计算机技术—计算机系统结构]