Finite-difference time-domain(FDTD) method is used to simulate the propagation of electromagnetic wave in left-handed material slab(LHMs) with cold plasma model The effects of optical propagation in the left-handed material compared to convex lens are discussed.The wider the LHMs is,the stronger electric field of focusing image in left-handed material slab is confirmed by the simulation with various slab length.However,the outer image point location would slightly moves to the LHMs side when the length of LHMs is reduced.