A numerical method of improved bandwidth adaptability for simulating diffraction integral of a spatial light modulator

Abstract

In order to improve the adaptability of spatial light modulator diffraction analysis method to the research object, Collins–Huygens integral is introduced into spatial light modulator (SLM) diffraction analysis. This paper takes two kinds of hollow vortex light waves as examples to discuss the practicability of the simulation method. When the spatial light modulator is used to control the light wave front, the method can greatly improve the adaptability of various types of wave front as simulation objects. In particular, the diffraction of two different types of “holograms” is analyzed, one is CGH that produces hypergeometric beams with extremely wide spatial spectrum, and the other is CGH that produces Laguerre—Gaussian beams with limited spatial bandwidth. In this paper, the phase extraction method in numerical simulation calculation is discussed in detail, and the diffraction characteristics of phase mask and amplitude mask, such as missing order phenomenon, are verified by the numerical method in this paper. Through the simulation, we find that the method proposed in this paper is an effective simulation analysis method. Its applications range from generating light beams with angular momentum to microscopes to trapping neutral atoms. The method is also extended to other beam shaping components using SLM.