摘要
该文尝试用精细积分法仿真自由空间电磁场中波的传播。通过空间坐标的离散构建适合用精细积分法求解的一阶微分方程,同时在空间上采用电场和磁场间隔取点,以提高精度。采用增维法处理源的加入,并且通过分割矩阵为定常子矩阵和非定常子矩阵,避免了增维法在一般情况下都必须有20次矩阵加法和乘法,可明显提高仿真效率。算例显示了方法的有效性。
The electromagnetic field problem in free space is solved by precise integration method(PIM).The method starts from construct first order differential equations by disperse the space partial difference,which are suitable for PIM.For increasing the precision,the electric field and magnetic field are interlaced in the space.Increment-dimensional PIM is alternatively applied to deal with electromagnetic field with a source to avoid 20 matrix's addition and multiplication for every time-step,which is required for the normal increment-dimensional PIM.Two numerical examples demonstrate the validity and efficiency of this preliminary work.
基金
国家自然科学基金资助项目(60471011)
关键词
电磁场
精细积分法
增维法
矩阵分块
electromagnetic filed
precise integration method
increment-dimensional method
partitioned matrix
