Fig. 1. Intensity and phase distributions under different radial index p and topological charge l

Fig. 2. Intensity distributions of LG_0lvortex beams along x (y)-direction with different TCs. (a) w₀₀=1 mm; (b) w_0l=1 mm

Fig. 3. Schematic diagram of measuring spot radius of LG_0l vortex beam by knife-edge method. (a) Blade moves in x-direction; (b) blade moves in y-direction

Fig. 4. Curves of normalized power of LG_0l vortex beam versus the shifted position in x(y)-direction

Fig. 5. Experimental setup of measuring spot radius of LG_0l vortex beam by knife-edge method

Fig. 6. Spot images of different beams. (a)Image of fundamental Gaussian beam (l =0); (b) image of vortex beam with l =1; (c) image of vortex beam with l =2

Fig. 7. Intensity distribution curve of fundamental Gaussian beam (l=0). (a)(b) Distribution curves in x- and y-directions at z=0, respectively; (c)(d) distribution curves in x- and y-directions at z=100 mm, respectively.

Fig. 8. Intensity distribution curve of LG₀₁ vortex beam (l=1). (a) (b) Distribution curves in x-direction and y-direction at z=0, respectively; (c) (d) distribution curves in x-direction and y-direction at z=100 mm, respectively.

Fig. 9. Intensity distribution curve of LG₀₂ vortex beam (l=2). (a)(b) Distribution curves in x-direction and y-direction at z=0, respectively; (c)(d) distribution curves in x-direction and y-direction at z=100 mm, respectively.