Propagation of vortex Hermite-cosh-Gaussian beams in a gradient-index medium

Based on the Huygens-Fresnel diffraction integral, the analytical expression for a vortex Hermite-cosh-Gaussian beam (vHChGB) propagating in a gradient-index medium (GIM) is derived. From the obtained expression, the evolution of the intensity and the phase distributions of the vHChGB through GIM are analyzed numerically as a function of the gradient-index parameter beta and under the change of the incident beam parameters. The results show that the output beam evolves periodically versus the propagation distance, and the period of the self-repetition slows down as the parameter beta is increased. It is found that the self-repetition of the intensity and phase distributions of the field in GIM is altered by the incident beam parameters. The results obtained may be beneficial for applications in fiber communications and beam shaping.

Automated summary

The analytical expression for a vortex Hermite-cosh-Gaussian beam propagating in a gradient-index medium is derived, and the evolution of the beam's intensity and phase distributions are numerically analyzed. The results show that the beam's self-repetition period slows down as the gradient-index parameter increases, and the incident beam parameters can alter the self-repetition of the field in the medium. These findings have potential applications in fiber communications and beam shaping.