Fig. 1. Amplitude and coded holograms of LG beams with topological charges of 800, 1000, and 1200: (a) amplitude, (b) coded holograms.

Fig. 2. Experimental setup of a large topological charge LG beam generated by 4K SLM (L1, L2, L3, lens; Pol, polarization; SLM, phase-only spatial light modulators; NPBS, non-polarizing beam splitter): (a) generation of LG beams, (b) interference of LG beams and annular plane waves.

Fig. 3. Experimental results of LG beams with topological charges of 800, 1000, and 1200: (a) singlet LG beam, (b) plane wave interference pattern.

Fig. 4. (a) Data processing collected interference pattern arc fragments. (b) Experimental and theoretical graphs of topological charge number and interference petal number of LG beam. (c) The curve of interference petal error with topological charge.

Fig. 5. (a) Quality variation of LG beam versus topological charge. (b) The section distribution of simulated intensity of LG beams with topological charges of 800, 1000, and 1200. (c) The section distribution of LG beam experimental intensity at corresponding topological charges.

Fig. 6. (a1)–(a6) Singlet LG beams with topological charges in the range of 1200–1400. (b) Annular plane waves modulated by complex amplitude. (c1), (c2) LG beam interference patterns with topological charges of 1300 and 1400. (c3), (c4) Partial enlargement of LG beam interference patterns with topological charges of 1300 and 1400.