Fig. 1. Diagrams of transmission evolution of AiG beam in photorefractive media for different χ0 when A0=3.(a1)-(a5) χ0=0.01; (b1)-(b5) χ0=0.1; (c1)-(c5) χ0=1

Fig. 2. Maximum peak intensity of AiG beams versus propagation distance and propagation distance Z0 to form soliton versus nonlinear factor β. (a) Maximum peak intensity of AiG beams versus propagation distance under different β when χ0=0.1 and A0=3; (b) propagation distance Z0 to form soliton versus nonlinear factor β when A0=3

Fig. 3. Effects of initial amplitude A0 and distribution factor χ0 of AiG beam on transmission evolution in photorefractive media. (a1)-(a4) χ0=0.01; (b1)-(b4) χ0=0.1; (c1)-(c4) χ0=1

Fig. 4. Diagrams of transmission evolution of AiG beams in photorefractive media under different A0 and β when χ0=0.1. (a1)-(a4) β=1; (b1)-(b4) β=3;(c1)-(c4) β=7

Fig. 5. Waveforms of AiG beams under different χ0 when A0=3 and β=4. (a) χ0=0.01; (b) χ0=0.1; (c) χ0=0.3

Fig. 6. Transmission stability of AiG beams when adding 2% random noise perturbation to initial incident beam. (a1)-(a3) χ0=0.01; (b1)-(b3) χ0=0.1; (c1)-(c3) χ0=1