A Degenerate Kernel Method for Solving Electromagnetic Scattering Problems

A degenerate kernel (DK) method using the hierarchical matrix (H-matrix) to solve the electric field integral equation (EFIE) is proposed in this paper, which separates the field points and the source points of the degenerate kernel function in the integral equation. The Lagrange interpolation polynomial is utilized to separate the coefficient matrix of the method of moments (MoM), and the low-rank approximation of the matrix blocks is used to obtain the sparseness of the MoM coefficient matrix. The preconditioner of the conjugate gradient method is employed to accelerate the convergence and calculation. Numerical results demonstrate that the proposed method is accurate and efficient.