Time-accelerated integral equations for two-dimensional transient scattering problems

Based on the Hilbert transform, this paper presents a totally new method to obtain the time-accelerated electric field, magnetic field and combined field integral equations for the two-dimensional transient scattering problems. The computational complexity of the time-accelerated integral equations is analysed, which can be reduced toO(NsEmphasis>/2NtlogNt) from the conventionalO(NsEmphasis>/2NtEmphasis>/2). Numerical results verify the computational complexity of this time-accelerated method, and show that the time-accelerated integral equations can provide accurate and stable solutions for both the open and closed objects.