Starting from the modified Maxwell equations in Carroll-Field-Jackiw electrodynamics we study electromagnetic radiation a chiral medium characterized by an axion coupling $\theta(x)=b_\mu x^\mu$, with $b_\mu= (0,\mathbf{b})$, which gives rise to magnetoelectric effect. Employing stationary phase approximation construct Green's matrix zone allows calculation of corresponding potentials and field...