Beam Splitting in Induced Inhomogeneous Media

We study the spatial behavior of a deflected beam in a coherent Λ-type three-level atomic medium with an inhomogeneous control laser. When the Rabi coupling by the control laser is in a Gaussian profile, the spatial-dependent refraction index of the atomic medium will result in a beam splitting as well as the deflection of the slow probe light under electromagnetically induced transparency. In terms of the phase difference between the two splitting beams and the position of the splitting, the possible interpretation of the splitting is given in theory.