Focusing properties of the high order vector beam by a high numerical aperture lens

The intensity distributions of the -2 to 4-order vector Bessel beams in the focal planes of a high numerical aperture lens are simulated based on the Richards-Wolf's vector diffraction integral model, and the distribution of gradient force capturing a glass ball in vacuum is also simulated. The simulated results show that the patterns, the areas of the focused light field and the variation of components are closely related to the order of the vector beams. Additionally, the distribution of the focused light field gradient force is closely related to the order of the vector beams, which can form optical traps with different shapes and scales.