Fig. 1. (a1) The side-view propagation of a common RAG beam; (a2) the intensity profile at the focus plane marked by the dashed line in (a1); (a3) the distribution of |u|2 marked by the dashed line in (a2); (a4) the phase pattern of the common RAG beam at the focus plane; (b1)–(b4) are the corresponding properties of the RAGB.

Fig. 2. Intensity and phase patterns of RAGB with CMOV with the parameters C0=1,m=0,n=3, and φ0=0 during propagation. (a1)–(a5) The intensity distributions of the RAGB with CMOV for various propagation distances z=0  m, 0.04 m, 0.08 m, 0.12 m, 0.16 m, respectively; (b1)–(b5) are the corresponding phase distributions of (a1)–(a5).

Fig. 3. Intensity and phase patterns of RAGB with CMOV for various n at the distance z=0.12  m when C0=1,m=0, and φ0=0. (a1)–(a5) are the beam spots for n=0,1,2,3,4, respectively; (b1)–(b5) are the corresponding phase distributions of (a1)–(a5).

Fig. 4. Intensity and phase patterns of RAGB with CMOV for various φ0 at the distance z=0.12  m when C0=1,m=0, and n=3. (a1)–(a5) are the beam spots for φ0=0,π2,π,3π2,2π, respectively; (b1)–(b5) are the corresponding phase distributions of (a1)–(a5).

Fig. 5. (a) The peak intensity distributions of the RAGB with CMOV during propagation for m=0, n=0,1,2,3,4, respectively; (b) the max peak intensities of (a) for various n.

Fig. 6. Intensity and phase patterns of the RAGB with CMOV with the parameters m=1,n=2, and φ0=0 during propagation. (a1)–(a5) The intensity distributions of the RAGB with CMOV for various propagation distances z=0  m, 0.04 m, 0.08 m, 0.12 m, 0.16 m, respectively; (b1)–(b5) are the corresponding phase distributions of (a1)–(a5).

Fig. 7. The modulation phase distributions and the intensity distributions at z=0  m and z=0.12  m versus the spiral phase θ when C0=1,φ0=0 for different factors m and n. (a) m=0,n=3; (b) m=1,n=2.

Fig. 8. Intensity and phase patterns of RAGB with CMOV for various φ0 at the distance z=0.12  m when C0=1,m=1, and n=2. (a1)–(a5) The beam spots for φ0=0,π2,π,3π2,2π, respectively; (b1)–(b5) are the corresponding phase distributions of (a1)–(a5).

Fig. 9. Intensity and phase patterns of RAGB with CMOV for various n at the distance z=0.12  m when C0=1,m=1, and φ0=0. (a1)–(a5) are the beam spots for n=0,1,2,3,4, respectively; (b1)–(b5) are the corresponding phase distributions of (a1)–(a5).

Fig. 10. (a) Peak intensity distributions of the RAGB with CMOV during propagation for m=1, n=0,1,2,3,4, respectively; (b) the max peak intensities of (a) for various n.

Fig. 11. Intensity and phase patterns of RAGB with CMOV for various n at the distance z=0.12  m when C0=1,m=2, and φ0=0. (a1)–(a5) are the beam spots for n=0,1,2,3,4, respectively; (b1)–(b5) are the corresponding phase distributions of (a1)–(a5).

Fig. 12. (a) Peak intensity distributions of the RAGB with CMOV during propagation for m=2, n=0,1,2,3,4, respectively; (b) the max peak intensity of (a) for various n.