Accurate and stable solution of time-domain electric field and magnetic field integral equation using marching-on-in-time method

Abstract

To suppress late-time oscillation in time marching algorithms of solution of time domain electric(TDEFIE) and magnetic field integral equation (TD-MFIE), it needs to accurately evaluate the time-domain impedance matrix elements and choose the appropriate temporal basis function. The paper accurately computes time-domain impedance matrix elements by transforming space-time integral of the source cell to 1D time convolution and 1D space analytical integral, Numerical results show that the proposed method ensures that the solution of time-domain electric and magnetic integral equation using marching-on-in-time method is stable and accurate.