Three-dimensional implementation of multi-mode fractional-order elliptical perfect optical vortex arrays

Fractional-order vortex beams possess unique spin and orbital angular momentum structure, and have significant applications in various fields. Nevertheless, the construction and tuning of these beams require high-precision optical devices and systems that are challenging to implement. Here, we propose a simple and effective method for realizing multi-mode independent modulation of fractional-order vector elliptical perfect optical vortices. The linear modulation of the EPOV ring is demonstrated. By combining the mode extraction with optical pen, multi-mode independent modulation of fractional-order elliptical perfect optical vortex arrays are successfully constructed, including position, quantity, ellipticity, topological charge, and polarization order. The experimental results are highly consistent with the numerical simulation results. We also demonstrate the implementation process of constructing multiple fractional-order EPOV arrays in three-dimensional space. This work provides a simple and feasible solution for the control of complex structured light fields and is expected to play an important role in optical trapping, optical communication, optical imaging, and quantum optics.