Marching-on-in-frequency method for solving integral equations in transient electromagnetic scattering

Abstract
A new approach was recently proposed for the numerical solution of integral equations describing transient scattering problems. The idea is to first discretise in space, and then solve the resulting system of linear time-domain equations by carrying out a temporal Laplace transformation. This approach combines the efficiency of the marching-on-in-time method with the stability and the accuracy of frequency-domain techniques. The repeated solution of the Laplace-transformed system of linear equations thus obtained with the aid of iterative technique is considered. Initial estimates are generated by marching-on-in-frequency and using a new extrapolation scheme. The feasibility of this idea is demonstrated by solving electric-field integral equations for the total current along a straight thin-wire segment and the current density along a perfectly conducting cylinder.

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