Non-diffracting chirped Bessel waves in optical antiguides

TL;DR

This paper introduces chirped Bessel waves as stable, non-diffracting solutions in optical antiguides, demonstrating their robustness and self-healing properties through numerical simulations.

Contribution

It presents the first study of chirped Bessel waves in antiguides, showing their stability and resistance to defocusing compared to standard Gaussian beams.

Findings

Chirped Bessel waves resist defocusing in antiguides better than Gaussian beams.

The waves maintain their profile even with eccentric launching or bending.

They exhibit self-healing properties similar to diffraction-free beams.

Abstract

Chirped Bessel waves are introduced as stable (non-diffracting) solutions of the paraxial wave equation in optical antiguides with a power-law radial variation in their index of refraction. Through numerical simulations, we investigate the propagation of apodized (finite-energy) versions of such waves, with or without vorticity, in antiguides with practical parameters. The new waves exhibit a remarkable resistance against the defocusing effect of the unstable index potentials, outperforming standard Gaussians with the same full width at half maximum. The chirped profile persists even under conditions of eccentric launching or antiguide bending and is also capable of self-healing like standard diffraction-free beams in free space.