Generation of arbitrarily structured optical vortex arrays based on the epicycle model

Area of Science:

• Optics and Photonics
• Light Field Manipulation

Background:

• Optical vortex arrays (OVAs) are crucial for applications like optical communications and tweezers.
• Generating OVAs with non-standard, arbitrary structures presents a significant challenge.

Purpose of the Study:

• To propose and demonstrate a novel method for generating arbitrary optical vortex arrays.
• To enable precise control over OVA structures without relying on explicit analytical expressions.

Main Methods:

• Utilized an epicycle model combined with vortex localization techniques.
• Investigated the impact of locating point parameters on OVA generation.
• Employed cross-phase techniques to shape individual vortices and the overall OVA into fractal patterns.

Main Results:

• Successfully generated OVAs with pre-designed arbitrary structures.
• Demonstrated the ability to customize both the array and individual vortex morphologies.
• Showcased the formation of fractal-shaped OVAs.

Conclusions:

• The proposed epicycle model and vortex localization offer a flexible approach to arbitrary OVA generation.
• This method facilitates the creation of complex light fields for advanced optical manipulation and communication.
• Fractal-shaped OVAs present new possibilities for multiparticle manipulation and optical angular momentum-based communication.