Abstract:MultiLevel Fast Multipole Algorithm (MLFMA) in conjugation with the best uniform approximation is applied to the scattering analysis of an arbitrary shaped perfect electric conductor over a wide frequency band in this paper. The nodes of Chebyshev within a given frequency range are found firstly, and the surface electric currents at these nodes are computed with MLFMA. The surface current on perfect electric conductor is expanded in a polynomial function via the best uniform approximation, then the electric current distribution can be obtained at any frequency within the given frequency range, which is used to compute the scattered fields and the wide-band Radar Cross Section (RCS). The numerical results presented in this paper are compared with the results obtained with MLFMA at each frequency. The results show that the computational efficiency is improved drastically without sacrificing much accuracy.