Characteristics of fork fringes formed by two obliquely-incident vortex beams with different topological charge number

Abstract

Optical vortex is a mode of light whose phase distribution varies as exp(iϕ), where l is called the topological charge of the vortex and ϕ is an azimuthal angle in the plane perpendicular to the propagating direction. The vortex beam of charge l carries an orbital angular momentum of lħ and has its application in manipulating micrometer-sized particles. A common method to detect topological charges of optical vortices is interference with a tilted Gaussian beam. In this work, we study the interference pattern of two obliquely-incident vortex beam with different topological charges, created by spatial light modulators (SLMs). We find fork-like fringes similar to those observed from the interference between a vortex and Gaussian beam. The fringe difference between the top and the bottom of the fork equals the difference the topological charges of the two vortices, as predicted by the theory. When the topological charges are the same and the fork pattern disappears. The tilted angle between the vortex beam affects the fringe spacing: the larger the tilt angle the smaller the fringe spacing. When the tilt angle radial from the defect canter. We suggest the result can be used to detect a topological charge of a vortex beam.