Theory of weak scattering of stochastic electromagnetic fields from deterministic and random media

The theory of scattering of scalar stochastic fields from deterministic and random media is generalized to the electromagnetic domain under the first-order Born approximation. The analysis allows for determining the changes in spectrum, coherence, and polarization of electromagnetic fields produced on their propagation from the source to the scattering volume, interaction with the scatterer, and propagation from the scatterer to the far field. An example of scattering of a field produced by a $\delta$-correlated partially polarized source and scattered from a $\delta$-correlated medium is provided.

Figure 1

Illustrating the notation related to propagation of the field from the source plane to the scatterer.

Figure 2

Illustrating the spherical coordinate system and notation relating the scatterer and the scattered field in the far zone.

Figure 3

Normalized spectral density of the scattered field in the far zone vs the inclination angle, with $\phi =\frac{\pi }{6}$.

Figure 4

The spectral degree of polarization of the scattered field in the far zone vs the inclination angle, with $\phi =0$.

Figure 5

The spectral degree of coherence of the scattered field in the far zone at two points vs the azimuth separation angle $\Delta \phi$.