A Hybrid Discrete Singular Convolution-FDFD Method for Large-Scale Electromagnetic Problems

In this article, a hybrid discrete singular convolution-finite-difference frequency domain (DSCFD) method with high-order accuracy is proposed. The proposed method discretizes the curl operator in the frequency-domain Maxwell’s equations by using the singular convolution to achieve difference approximation with arbitrary-order accuracy. The symmetric/anti-symmetric extension scheme and CFS-PML are used to truncate the boundary, and the total field/scattering field scheme is used to incorporate the excitation source. The numerical dispersion of the proposed method is discussed, and some numerical experiments are presented, whose results demonstrate that DSCFD, as a high-order finite-difference method, is efficient and requires less memory when solving large-scale electromagnetic problems.