Design of a refractive optical system that converts a Gaussian beam to a ring shaped pattern beam

In this paper, a system of two lenses is designed, which can efficiently convert a collimated Gaussian beam to a ring shaped pattern beam. The surfaces distribution of the two lenses is determined by using the energy conservation and the constant optical path-length condition. The design consideration is analyzed in detail. The intensity distribution of the ring shaped pattern beam can be controlled. The reshaping effect has been numerically simulated with Fourier optics methods. The influences of the waist change and decenter of the Gaussian beam have also been discussed in detail. In addition, the phase profile has been calculated after laser reshaping. The result is verified experimentally by using the phase only liquid crystal spatial light modulator (LC-SLM).