二维分段均匀波导的基于DtN映射的四阶差分算法

A 4th-order difference algorithm for 2-D piecewise uniform waveguides based on Dirichlet-to-Neumann maps

给出了利用二阶导数的四阶差分近似计算DtN映射的一种新方法。与Chebyshev配置算法比较,该方法直接给出简化计算所需的特征值和特征向量,且充分利用原方程信息,从而简化了计算过程,降低了计算误差。算例(Cost 268 modeling task)表明,此算法是一种高效算法。

A new algorithm to compute Dt N maps that uses a 4th-order difference scheme to approximate the 2nd derivative is developed in this paper. Compared with the Chebyshev collocation algorithm,this algorithm directly gives the eigenvalues and eigenvectors needed to simplify the computation and takes full advantage of the information in the original equation such that the computation process can be simplified and the computation error can be reduced. A numerical experiment( Cost 268 modeling task) shows that the algorithm is efficient.