Mode conversion and orbital angular momentum transfer among multiple modes by helical gratings

TL;DR

This paper explores how helical gratings can enable mode conversion and transfer of orbital angular momentum among multiple optical modes, extending traditional mode coupling concepts and enhancing OAM manipulation capabilities.

Contribution

It introduces a method for multi-mode OAM transfer using 3-fold helical gratings, expanding the understanding of mode coupling in optical fibers.

Findings

Successful simulation of OAM transfer among three modes

Extension of mode coupling theory to multiple modes

Potential for improved OAM manipulation in optical systems

Abstract

The coupling feature of helical gratings (HGs) has been studied on flexible conversion between two orbital angular momentum (OAM) modes by both the transverse and longitudinal modulation of HGs. Apart from one to one OAM exchange, HGs can achieve OAM transfer among multiple modes, provided both the helix and phase matching conditions are well satisfied for successive coupling. It is contributed from the fold number of modulation fringes of HGs and the difference multiplication of propagation constants between two of the successive modes. Based on the coupled mode theory, we investigate the mode conversion and OAM transfer among three modes using a 3 fold HGs in a ring core fiber, and numerically simulate it by transmission matrix. Our work about the multiple modes transferring can be regarded as an extension of mode coupling for optical gratings, and might flourish the mode conversion, as well as OAM manipulation in optics fields.