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Abstract
In this paper, the analytical solution of metallic spheres which takes the frequency dispersion characteristic into account is studied at terahertz frequencies. In order to characterizing metals at terahertz frequencies, the classical relaxation effect frequency dispersion model is used and a calculated analytical solution of metallic spheres is given with respect to the large permittivity of metallic spheres. The analytical solution supplies an effective tool for the scattering analysis of metallic spheres at terahertz frequencies. The simulation results show that the main scattering signature of a polished aluminum sphere comes from the specular reflection at terahertz frequencies and a polished aluminum sphere should be characterized by migratory scattering center model. These conclusions may provide an important reference for terahertz radar cross section calibration and scattering source diagnosis.