Analytical investigation of optical vortices emitted from a collectively polarized dipole array

TL;DR

This paper analytically explores how optical vortices emitted from a polarized dipole array behave, revealing a new intrinsic splitting of singular points caused by spin-orbit interaction, which advances understanding of vortex emission properties.

Contribution

It introduces an analytical model linking topological charge to emitter conditions and uncovers a novel intrinsic splitting of singular points due to spin-orbit interaction.

Findings

Derived a relationship between topological charge and source conditions.

Discovered an intrinsic split of singular points caused by spin-orbit interaction.

Provided analytical insights into vortex emission from dipole arrays.

Abstract

We investigate the propagation properties of the optical vortices emitted from a collectively polarized electric dipole array as a simple model of the several emitters. Using an analytical approach based on the Jacobi-Anger expansion, we derive a relationship between the topological charge of the optical vortices and the source conditions of the emitter, and clarify and report our new finding; there exists an intrinsic split of the singular points in the electric field due to the spin-orbit interaction of the dipole fields.