Nondiffracting chirped Bessel waves in optical antiguides

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.

Self-accelerating parabolic cylinder waves in 1-D

“…Self accelerating waves for nonlinear paraxial [13][14][15][16] and nonparaxial equation [17,18] were explored. Self-accelerating waves were investigated by some authors in nonuniform systems such as matter waves in an expulsive potential [19], Airy beams in a parabolic potential [20], nondiffracting Bessel waves in optical antiguides [21] and a periodical photonics system [22][23][24][25][26][27][28][29]. In the latter system, accelerating Wannier-Stark states in optical lattices has been theoretically proposed and experimentally realized [22,23].…”

Propagation properties of the chirped Airy–Gaussian vortex electron plasma wave*

“…[16] The chirped Bessel waves were studied in 2015 and the researchers got their properties. [17] Shi et al numerically analyzed dynamic propagation of symmetric Airy pulses with initial chirps in an optical fiber. [18] Then, in 2018, Xie et al gave their findings about the first-order chirped Airy vortex beams in a chiral medium.…”

Propagation properties of the chirped Airy vortex beams through left-handed and right-handed material slabs

“…In the optical field, a chirp carried by AiBs was introduced by Zhang et al, showing that a linear chirp introduces a transverse displacement of the beam at the phase transition point, but does not change the location of the point [29] . The propagation properties of the chirped Bessel waves were investigated successfully in 2015 [30] . In a vacuum, the chirp increases the electron energy and influences the electron acceleration.…”