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.
© 2014 Optical Society of America
Original Manuscript: January 6, 2014
Revised Manuscript: March 29, 2014
Manuscript Accepted: March 30, 2014
Published: April 28, 2014
Hyoung-In Lee and Jinsik Mok, "Two-dimensional models for optical vortices driven by gain media," J. Opt. Soc. Am. B 31, A24-A30 (2014)