In recent years, the optical design of refractive beam shaping system has been widely studied. In laser beam shaping, because the laser light source is usually not uniformly distributed, to achieve uniform distribution or other predetermined wavefront and intensity distribution, it is necessary to use aspheric or freeform surface to build laser shaping system. However, the angular Gaussian distribution laser with different waist generally cannot be used in the same beam shaping system. We design a beam shaping system. When the incident angular Gaussian distribution beam has different waist, the output beam can always achieve the predetermined wavefront and intensity distribution. This work is challenging and rewarding. We propose a design framework, including the calculation and optimization process of the initial system. In the beam shaping system, when the waist of the incident angular Gaussian distribution beam varies widely, the output beam still maintains the predetermined wavefront and intensity distribution. A design example is given to verify the feasibility and effectiveness of the proposed beam shaping design method. This method can be used in the fields of laser imaging, laser display and laser processing. The high level of optical performance proves the effectiveness and feasibility of the proposed design method.
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