Statistical electromagnetic analysis of PEC sphere scattering

This paper presents the far field scattering properties of a perfect electric conductor (PEC) sphere from the statistical electromagnetics (SEM) point of view. The probability distribution function (PDF) of the calibration error for both monostatic and bistatic radar cross section (RCS) has been discussed. Closed form expressions for the monostatic RCS in the Rayleigh region and optical region have been derived. Monte Carlo simulations have been performed for general cases. The results show that, with a given alignment uncertainty the calibration uncertainly can be determined without/before apply practical measurement, and vice versa; the calibration uncertainty obtained here can be regarded as the theoretical limit that cannot be exceeded in practice.