Controllable rotation of multiplexing elliptic optical vortices

Abstract

We propose a highly efficient phase modulation method for generating an elliptic optical vortex with an arbitrary controllable rotation angle, that can be recognized as a controllable degree of freedom. A transformation matrix and rotation matrix were used to realize the modulation of the light field. We numerically and experimentally demonstrate the control capability of Bessel beam and higher-order Laguerre–Gauss vortex modes. The rotation angle β, elliptic degree e and multiplexing elliptic optical vortices could be freely modulated by using the proposed method. This work is important for the progress of programmable optical tweezers, as well as for automated optical transport operations which are of interest in colloidal physics and biophysics. It can also be applied in high-dimensional and multiphoton quantum experiments.