EN
We report on the electronic structure of hybrid heterostructure combined the ferromagnetic double perovskite Sr₂CrReO₆ (SCRO) and ferroelectric BaTiO₃ (BTO) calculated in the GGA approach using the fully relativistic spin-polarized Dirac LMTO method. The optical and MO properties as well as the X-ray absorption spectra and X-ray magnetic circular dichroism at the Ti, Ba, and Re L_{2,3} edges and O K edges of the SCRO/BTO heterostructures were investigated theoretically from the first principles. It was shown that the calculations reproduce well available experimental spectra and allow to explain the microscopic origin of the SCRO/BTO heterostructures optical, MO and XMCD spectra.