Two-dimensional models for optical vortices driven by gain media

Abstract

The dynamics of a single particle moving on a flat plane are examined under the influence of state-dependent potentials. As a result, the electromagnetic Poynting-vector flows are captured for optical vortices driven by gain media. In particular, the signs of the coupling coefficients play a crucial role in establishing vortices. In this respect, the singularities related to vortices are resolved through backward time evolutions. Additional effects of the noncircular nature of quadratic potentials are illustrated through numerical simulations. In addition, the quantum mechanical reduction of our model features multipoles.