An Explicit Time Marching Scheme for Efficient Solution of the Magnetic Field Integral Equation at Low Frequencies

An explicit marching-on-in-time (MOT) scheme to efficiently solve the time-domain magnetic field integral equation (TD-MFIE) with a large time step size (under low-frequency excitation) is developed. The proposed spatially expands current using high-order nodal functions defined on curvilinear triangles discretizing scatterer surface. Applying Nyström discretization, which uses this expansion, TD-MFIE, written as an ordinary differential (ODE) by separating self-term contribution, yields system of ODEs in unknown time-dependent expansion coefficients. A predictor-corrector method used integrate for samples these Since Gram matrix arising from discretization block-diagonal, resulting MOT replaces “inversion” required at each product inverse block-diagonal and right-hand side vector. It shown that, convergence corrector updates, produces same solution its implicit counterpart faster sizes.