Modified Anomalous Elliptical Vortex Beam and Its Properties

A new elliptical vortex beam named the modified anomalous elliptical vortex beam (MAEVB) is introduced in this work. The ring width of this MAEVB can be modulated, and the intensity pattern of MAEVB can be controlled by beam waist w _{0 x} and w _{0 y} , beam order N , modified index δ , and topological charge M . Based on the Collins formula, the field of this MAEVB through an ABCD optical system has been derived. The intensity and phase of such MAEVB in free space are investigated. The results show that the intensity pattern of MAEVB can be controlled by manipulating the parameters w _{0 x} , w _{0 y} , N , δ , and M , and the phase of MAEVB during propagation in free space will remain stable. The MAEVB can provide an adjustable elliptical ring shape and may be applied in optical manipulation.