The basis functions involving propagating wave phase dependency for solving the scattering from electrically large targets

Expressing the traveling wave phase dependency, the use of PE bases is able to reduce the number of unknowns dramatically, and lead to the sparsification of the impedance matrix, which will be reported in our other paper. Secondly, the PE bases cause better condition number and faster convergence rate in iteration solution because of showing intrinsic property of the induced current. Thirdly, the PE bases have the excellent characteristics for wide band analysis because the bases include the frequency (phase) factor. Finally, the PE bases result in efficient interpolation in angle domain because the amplitude factor of PE bases varies slowly while the incident (or scattering) angle changes. All those abilities are very valuable for solutions of the electrically large problems, particularly for electrically large scatterer with smooth convex surface. As a conclusion, describing the phase variation of the induced current successfully, the PE bases can be defined on the electrically large patches with the size up to 1.5lambda-2.0lambda and even larger. A lot of challenging real world problem (the scattering from electrically large and extra large complex 3D objects, for example) can be simply solved with high efficiency and satisfied accuracy by using Method of Moment.