MEI solution of 2D scattering of a cylindrical-parabolic reflector

The measured equation of invariance (MEI) method was introduced by Mei et al. (see AP-S Int. Symp. Digest, 1992 and IEEE Trans. on Antennas and Propagation, vol.42, no.3., p.320-8, 1994) as a mesh truncation condition for the finite difference (FD) method, which allows the termination of the mesh very close to the scatterer surface. This approach has been proved to be more robust than the absorbing or radiation boundary condition applied close to the scatterer surface and, in contrast to the hybrid FE-BEM method, the interrelation between the field points is sparse. Thus, it has the advantages of the two popular methods: the sparse matrix in the FD method and a small number of unknowns in the moment method. Based on these advantages, the MEI method is used to deal with the scattering problem of an infinite long perfectly-conducting cylindrical parabolic reflector. Numerical results of the induced current density on the parabolic reflector with different geometric parameters are obtained.