求解复杂载体天线辐射问题的近场预条件技术

提出了一种近场预条件技术与LDU分解法相结合的新技术,用于加速矩量法(MoM)分析复杂载体上线天线辐射问题中线性方程组的迭代求解.通过LDU分解可将系数矩阵中表示载体上单元相互作用的具有对角占优特性的子阵分离出来,构造一个矩阵分解形式的预条件阵.结合广义最小留数(GMRES)法,分别对装载在两个简单形体和一架大型飞机模型上的线天线的辐射问题进行了求解.数值结果表明,该方法可大大加快线性方程组迭代求解的收敛速度,提高分析计算效率.

An efficient near-field preconditioning technique for radiation solution of wire antennas on complex platforms

By combining near-field preconditioning technique with LDU factorization, an efficient technique is proposed for accelerating the iterative solving process of linear equations which are deduced by method of moments (MoM) in the analyses of the radiation problems of wire antennas mounted on complex platforms. Through LDU factorization method, the sub-matrix with a diagonal dominant feature, which reveals the interaction of the elements on the platform, is decomposed from the overall coefficient matrix. Then, a preconditioner with a factorized matrix form is built. In conjunction with the generalized minimal residual (GMRES) method, the preconditioning technique is applied to solve the radiation problems of the wire antennas mounted on a plate, a sphere and a large plane model, respectively. Numerical results show that the new approach can greatly accelerate the convergence speed of iteration in solving the linear equations.