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Natural media consisting of preferably oriented non-spherical particles demonstrate electromagnetic anisotropy and optical dichroism. Typical example is rain in the millimeter wave band. In addition, rain fields are spatially inhomogeneous. Thus, theoretical investigation of active and passive millimeter wave probing of rain require numerical solution of polarized radiative transfer equation in three dimensional dichroic scattering medium. To the author’s knowledge, a very few such studies have been published up to now. Authors present results of extensive computational investigation of active and passive millimeter wave sounding of raining atmosphere. Absorption and scattering in the rain medium have been calculated rigorously from the first principles for different wavelengths and temperatures. Radiative fields of thermal emissions of the rain and microwave radar pulses in uniform dichroic slab medium of rain and three-dimensional rain cell have been simulated. Role of three-dimensional inhomogeneous structure of the medium in formation of outgoing radiation field has been revealed and investigated. This study is partially supported with the RFFI grants 13-02-12065 ofi-m and 15-02-05476. The authors are grateful to the Moscow State University computing facility for granting the access to the computational resources of the parallel computing system SKIF-GRID "Tchshebyshev".