Scattering of a Young’s diffractive electromagnetic light wave by quasi-homogeneous medium

Abstract

While remaining accurate under the first-order Born approximation and the paraxial assumption, the scattering of a Young’s diffractive electromagnetic light wave by a quasi-homogeneous (QH) medium is specifically addressed in this study. Analytical expressions are derived for spectral density as well as the spectral degree of coherence of the scattered field. As long as the components of the complex amplitude of incident waves are proportional to each other, the resultant scattered light in the far field is proven to satisfy two reciprocity relations, namely, that the spectral density is proportional to the spatial Fourier transformation of the normalized correlation coefficient of the scattering potential, while the spectral degree of coherence is dependent only on the spatial Fourier transformation of the strength of the scattering potential.