等效环路时域有限差分算法及其核内加速技术

摘要

提出了一种新颖的有限差分算法——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氏网格中引入集总元件的概念,由于其良好的物理思想,可实现对于色散介质的仿真计算.单指令多数据指令集(streaming single-instruction multiple-data extensions,SSE)技术是Intel公司提出的核内并行加速技术,普通的个人电脑都支持这种技术.结合SSE技术,可实现对算法的有效加速,这种加速技术无须硬件的改进即可实现理论上最高4倍的加速.分别利用等效环路有限差分算法、普通有限差分算法仿真计算了平面倒F天线(planar inverted-F antenna,PIFA)的端口反射系数和天线方向图,并与实测数据进行了比较,验证了算法的正确性.在实际的运算中,使用SSE技术普遍可实现2倍以上的加速比,加速算法的有效性得到了验证.%A novel algorithm named equivalent circuit finite difference time domain (EC-FDTD) is realized,which introduces lumped elements from transmission line theory into Yee cell.Due to its promising physical idea,it can be easily generalized to arbitrary dispersive media.The technology of streaming single-instruction multipledata extensions (SSE) proposed by Intel is widely utilized in personal computers.SSE is a kind of parallel speedup technology in one core.The speedup technology can achieve up to four-fold increase theoretically without change in hardware.By comparisons with the results obtained by EC-FDTD,the ones by FDTD and the experimental results in the example of planar inverted-F antenna (PIFA),the correctness of the algorithm is verified.Combined with SSE,more than twice speedup is generally achieved in the actual tests.The tests verify the efficiency of the SSE technology.