High-order Laguerre-Gaussian beams are widely used for the high-precision interferometry, atomic capture and focal volume reduction. The LGp0 beam can produce a small focus and thereby be applied in the super-resolution technology. The phase-only liquid crystal spatial light modulator is able to realize high-efficiency phase modulation of the spatial light with the help of the computer. Based on the angular spectrum method and the Gerchberg-Saxton algorithm, two phase maps for different diffraction distances are designed to shape the Gaussian beam into the Laguerre-Gaussian beam LG10 mode. Through the simulation calculations, the influences of the diffraction distance and the iterations number on the imaging quality evaluated by the mean square error SSE are discussed and verified by experiments. In this paper, the Gaussian beam produced by the He-Ne laser was transformed into LG10 mode with the assistant of the phase-only modulation of spatial light modulator. The experimental results are consistent with the simulation results.
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