【摘要】 双线性(LL)基函数是在三角形单元公共边上法向和切向均线性变化的基函数,本文选取LL基函数作为基函数,推导了求解时域电场、磁场以及混合场积分方程的时间步进算法,给出了时域阻抗矩阵元素的计算表达式,在不同网格和相同未知量情况下对比了基于LL基函数的求解与基于RWG函数的求解精度。研究了求解含有大量棱边、棱角、板、体结构的导弹、卫星空间目标电磁特性的精度。数值结果表明,在没有增加计算量的情况下,LL基函数提高了时域磁场和混合场积分方程求解精度,适合于求解含有大量棱边、棱角、板、体结构的空间目标电磁特性。更多还原

【Abstract】 Linear-Linear basis functions( LL) are basis functions of linear change on the common edge of triangles in the perpendicular and tangential directions. Taking the LL basis functions as basis functions,a time stepping algorithm for solving the time domain electric field integral equation( TDEFIE),the time domain magnetic field integral equation( TDMFIE) and the time domain combined field integral equation( TDCFIE) are derived,the expression for calculation time domain impedance matrix elements is given,a comparison between RWG basis function based solution accuracy and LL basis function based solution accuracy is made under the condition of different mesh and the same unknown quantity,the accuracies for solving the electromagnetic characteristics of satellites and missile space targets with arris edges,corners, plate and body structure are studied. The numerical simulation results show that the solution accuracy of the time domain magnetic field integral equation and the time domain combined field integral equation are improved without increasing the computational requirements,TDIE based LL basis function is suitable for solving the electromagnetic characteristics of space targets with arris edges,corners,plate and body structure.更多还原