Fig. 1. Propagation dynamics of the beams with (a) spectral density and (b) DOC. Calculated parameters are set as follows: µ = 15 mm⁻²; η_x = η_y = 60; N_x = N_y = 2; σ_x = δ_x = 1 mm; σ_y = δ_y = 0.3 mm; α = π/8; θ = 2π/3. Rotation angles versus propagation distance z with u = 3, 15, 30, and 60 mm⁻² for (c) spectral density and (d) DOC.

Fig. 2. Free movement of spectral densities with different values of η_s. Calculated parameters are set as follows: µ = 15 mm⁻²; z = 190 mm; N_x = 4; N_y = 3; σ_x = δ_x = 1 mm; σ_y = δ_y = 0.3 mm; α = 0; θ = 2π/3.

Fig. 3. (a) Revolution angles of the array beam with different values of α. Calculated parameters are set as follows: µ = 15 mm⁻²; z = 190 mm; η_x = η_y = 60; N_x = N_y = 3; σ_x = δ_x = 1 mm; σ_y = δ_y = 0.3 mm; θ = 2π/3. (b) Rotation angles of the lobes during transmission with θ = 0, π/8, π/4, π/3, and 2π/3. (c) The relationship between the rotation angles of the lobes and θ at z = f.

Fig. 4. Experimental setup for generating an ARGSMA beam. LP, linear polarizer; PBS, polarizing beam splitter; BE, beam expander; SLM, spatial light modulator; L, lens; RGGD, rotating ground-glass disk; GAF, Gaussian amplitude filter; CCD, charge-coupled device; PC, personal computer.

Fig. 5. (a1) Spectral density and (a2) DOC of the ARGSMA beam during transmission from the experiment and the parameters as in Fig. 1. (b1)–(b4) Experimental results of free movement with |η_s| increasing and the parameters as in Fig. 2.