Transverse Optical Properties of the Eu3+:Y2SiO5 Crystal in Electromagnetically Induced Transparency**Supported by the National Natural Science Foundation of China under Grant Nos 11104185, 11174084, 10934011 and 61378060, the National Basic Research Program of China under Grant No 2012CB921904, the Innovation Program of Shanghai Municipal Education Commission under Grant No 11YZ118, the Shanghai Dawn Project of Shanghai Education Commission under Grant

Abstract

According to density matrix equations of the interaction between light and matter, the expression for the susceptibility of the Eu3+:Y2SiO5 crystal is obtained. When the control field is a Gaussian beam, we investigate and analyze the influence of probe detuning, the Rabi frequency of the control field and the laser line width on the transverse optical properties. We also analyze the influence of the dope-ion concentration on electromagnetically induced transparency (EIT). The analysis result indicates that the transmission is not a monotonic function of the dope-ion concentration. Based on the influences of various parameters on the transverse optical properties, we choose the appropriate parameters to realize the desired EIT and gradient refractive index, which has applications in focusing and imaging.