Weak scattering of a random electromagnetic source of circular frames upon a deterministic medium

Abstract

By application of the theory of first-order Born approximation, analytical expressions of the cross spectral density matrix of a newly proposed electromagnetic random source of circular frames scattered upon a deterministic medium in the far zone are derived. In terms of the analytical formulas obtained, the scattered spectral properties of both single circular frame and superposed circular frames are numerically investigated. Results show that the scattered spectral properties of the targeted optical source in the far zone would be significantly influenced by the effective radius σR of the scattering medium and the observation azimuth ϕ, in addition to the parameters of the incident source, such as the index M, the polarization states, and the correlation widths. It is pointed out here that this is the first time, to the best of our knowledge, that the influence of azimuth ϕ on scattered spectral properties has been analyzed, and some meaningful and interesting results have been obtained in this paper.