分段积分共形算法在电磁散射问题中的应用  

A piecewise integration conformal method for electromagnetic scattering problems

作　　者：吕善伟[1] 甄可龙[1] 张岩[1] 张宁宁[1] 赵福玲[2] 

机构地区：[1]北京航空航天大学电子信息工程学院,北京100191 [2]中国电波传播研究所,山东青岛266107

出　　处：《电波科学学报》2011年第6期1165-1169,共5页Chinese Journal of Radio Science

基　　金：国家自然科学基金资助项目(60901001);863计划资助项目(2008AA12A216)

摘　　要：提出一种分段积分共形时域有限差分算法(PI-CFDTD),用于计算电磁散射问题。首先采用邻近网格电场场量插值表示变形网格中沿线电场场量,再以分段积分代替传统电场沿线积分求解,减小了阶梯误差,提高了电场环路积分的计算精度。推导出两种不同类型变形网格的电场环路积分公式,并对PI-CFDTD算法的稳定性进行研究,归纳得到应用原则。以金属方形平板和金属圆形平板作为算例进行验证,通过与传统时域有限差分法(FDTD)、传统共形时域有限差分法(CFDTD)以及矩量法(MoM)进行比较,表明PI-CFDTD计算精度更高。A piecewise integration conformal finite difference time domain（PI-CFDTD）method is presented and applied for solving the electromagnetic scattering problems.The electric field component along the contour segment is expressed by the interpolation of the nearest ones.To compute electric-field contour-integral value more accurately,the piecewise-integration method is used instead of the common integration.Therefore,the staircasing errors can be reduced significantly.The electric-field contour-integral formula is derived for two kinds of deformed cells,respectively.Furthermore,the numerical stability is discussed.Finally,a metal square plate and a metal circular plate are simulated as examples.The results are compared with those of the conventional FDTD method CFDTD method and the MoM.It is found that the PI-CFDTD method is more accurate than the conventional CFDTD method.

关 键 词：共形 分段积分 散射 

分 类 号：O441.4[理学—电磁学]