We propose a theoretical scheme to realize two-dimensional (2D) asymmetric electromagnetically induced grating (EIG) in a closed four-level inverted-Y type semiconductor quantum wells (SQWs) system. The 2D asymmetric grating is formed by the interaction of a weak probe field, a circulating field, and two simultaneously acting 2D standing wave (SW) field and composite Laguerre-Gaussian (LG) vortex field. After deriving the Fraunhofer diffraction equation of the probe beam, we numerically investigated the amplitude modulation, phase modulation, and Fraunhofer diffraction characteristics of the w...
