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Method of synthetic garnets preparation based on LuAG or YAG, pure or doped with rare earth ions characterized in that aqueous solutions containing ions of given metals - aluminium, lutetium or yttrium, and OH radical scavengers, eventually doped with rare earth ions, are irradiated by UV or ionizing radiation, incurred (formed under irradiation) solid phase or gel is subsequently separated, washed, dried and obtained white powder is subsequently calcined in temperature interval from 800 to 1600°C, resulting in garnet formation of LuAG or YAG, doped with rare earth ions.