Electromagnetically induced grating in a 3-level symmetric quantum well

We propose a scheme of electromagnetically induced grating in 3-level symmetric quantum wells. Based on electromagnetically induced transparency, we obtain the intensity distribution of the Fraunhofer diffraction pattern of the probe field that is governed by a control field. The distribution of the intensity of the diffraction pattern of the grating can be controlled by controlling the Rabi-frequency of the control field, and the interaction length of the QW. Our results could be potentially used in semiconductor quantum well based photonic devices.