A hybrid-iterative method for scattering problems

A new technique, named a hybrid-iterative method (HIM), is presented to solve the magnetic field integral equation (MFIE) for the induced currents on an arbitrary, perfectly conducting scatter. The technique is an evolution from two previous techniques developed earlier. The first of the previous techniques used the moment method (MM) to compute correction currents to an optics-type current. The second of the previous techniques effected a significant improvement by eliminating the use of the moment method to obtain the correction currents, using iteration to obtain them. The technique described here incorporates the edge diffraction theory and the Fock theory into the Ansatz of the iterative scheme. This procedure speeds up the algorithm as well as extending the range of problems that can be solved by the iterative scheme. Furthermore, the present technique incorporates the correction currents into the total currents thereby simplifying the iterative scheme. For intermediate size and larger bodies, the central processing unit (CPU) time is significantly less than that of the moment method. Results are presented for a variety of curved and edged two-dimensional cylinders illuminated by a transverse electric plane wave.