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The development of coherent radars leads to discovery of coherent images specific properties at the electromagnetic waves scattering random distributed radar objects (RDRO). It was fixed that these images are having a stochastic – spotty structure. This structure is stipulated by interference of waves scattered by a random collection of RDRO secondary radiation centers. The similar phenomenon in optics has named as “speckles”. So far all existent investigations both in the optic area and in RDRO coherent images for microwaves area (speckles theory) were made only for the case of electromagnetic waves linear polarization. However, the results of scattered wave’s polarization parameters extensive experimental investigations at the scattering by man – made RDRO have demonstrated the existence of speckle – effect for scattered field polarization parameters. One from main aspects of a developed polarization parameters statistical theory appears an establishment of connection between RCRO coherent images polarization parameters with these objects space spectra. It is demonstrated that a formation process of RDRO coherent images polarization – energetically parameters can be considered as the interference process. A validity of emergence principle for polarization – energetically parameters at the scattering by RDRO has demonstrated. A polarization coherence notion has introduced. A generalization of Fresnel – Arago interference laws has demonstrated an emergence of a new physical effect, which demonstrates that at the scattering by RDRO a scattered field polarization energetically parameters are not defined by an union of RDRO separate scatterers polarization parameters. How it is demonstrated, in the reality these parameters are defined be relations between RDRO separate scatterers properties. As far as polarization energetically parameters of RDRO coherent images are having the intensity dimension, then RCRO random polarization energetically responses autocorrelation functions (ACF) will be as correlations of the 4-th order. It is demonstrated for the first time that ACF of the 4-th degree and a distribution of polarization proximity (distance) along a RDRO space spectra are related by Fourier transformations pair. Thus, a connection between scattered field polarization energetically parameters distribution and polarization parameters distribution along a RDRO space spectrum can be found.

A Statistical Theory of the Electromagnetic Field Polarization Parameters at the Scattering by Distributed Radar Objects