Characterizing Low-Frequency Scattering by Discontinuous Galerkin Integral Equation Method in the Time Domain

This letter presents a novel method for solving ultra-low frequency electromagnetic scattering using the discontinuous Galerkin electric field integral equation (DGEFIE) in the time domain. The non-conformal nature of DGEFIE make it challenging to apply methods such as loop-tree, loop-star decomposition to solve low-frequency problems. Therefore, we propose a method for the computation of scattering results of extremely low frequency under non-conformal mesh conditions, covering both near and far electromagnetic fields. Specifically, the proposed method can handle electrical sizes ranging down to 10-43 λ, overcoming the numerical breakdown issues at low frequencies. Moreover, this method can be easily integrated into existing codes. Several typical examples demonstrate the accuracy and effectiveness of the proposed method.