“…We assume that the light field amplitude in the transverse dimension of the rear focal plane of lens L1, i.e., the transverse distribution of light field in the Pr:YSO crystal, is E j ( x , y ) (j = S , C , R , S ′) for the input signal, the coupling, the readout and the retrieved output signal beams, respectively. Under the paraxial approximation and after a light-pulse storage and retrieval process based on the EIT effect, the field amplitude of the retrieved output signal beam E S ′ ( x , y ) can be written as 38 , 39 : where the superscript ‘*’ denotes the complex conjugate, and ( x , y ) are the transverse coordinates in the rear focal plane of lens L1. Note that the relative light field distribution in the transverse dimension in our case is temporally stable in the rear focal plane of lens L1, therefore we drop the variables z and t in the expression of light field amplitude for clarity.…”