On the dynamics of Airy beams in nonlinear media with nonlinear losses

Abstract

We investigate on the nonlinear dynamics of Airy beams in a regime where nonlinear losses due to multi-photon absorption are significant. We identify the nonlinear Airy beam (NAB) that preserves the amplitude of the inward Hänkel component as an attractor of the dynamics. This attractor governs also the dynamics of finite-power (apodized) Airy beams, irrespective of the location of the entrance plane in the medium with respect to the Airy waist plane. A soft (linear) input long before the waist, however, strongly speeds up NAB formation and its persistence as a quasi-stationary beam in comparison to an abrupt input at the Airy waist plane, and promotes the formation of a new type of highly dissipative, fully nonlinear Airy beam not described so far.

References in corpus (6)

• Self accelerating electron Airy beams
• Non-Paraxial Accelerating Beams
• Interactions of Airy beams, nonlinear accelerating beams, and induced solitons in Kerr and saturable nonlinear media
• Non-linear unbalanced Bessel beams: Stationary conical waves supported by nonlinear losses
• Solitons supported by spatially inhomogeneous nonlinear losses
• Non-diffracting and non-attenuating vortex light beams in media with nonlinear absorption of orbital angular momentum

Cited by in corpus (3)

• The interaction of Airy waves and solitons in the three-wave system
• Two-dimensional ${\chi }^2$ solitons generated by the downconversion of Airy waves
• Generation of \c{hi}2 solitons from the Airy wave through the parametric instability