Coupled Airy breathers

Abstract

The dynamics of two component coupled Airy beams is investigated. In the linear propagation regime a complete analytic solution describes breather like propagation of the two components featuring non-diffracting self-accelerating Airy behavior. The superposition of two beams with different input properties opens the possibility to design more complex non-diffracting propagation scenarios. In the strongly nonlinear regime the dynamics remains qualitatively robust as is revealed by direct numerical simulations. Due to the Kerr effect the two beams emit solitonic breathers, whose coupling period is compatible with the remaining Airy-like beams. The results of this study are relevant for the description of photonic and plasmonic beams propagating in coupled planar waveguides as well as for birefrigent or multi-wavelengths beams.

References in corpus (4)

• Nonparaxial Mathieu and Weber accelerating beams
• Interactions of Airy beams, nonlinear accelerating beams, and induced solitons in Kerr and saturable nonlinear media
• Temporal cloaking with accelerating wave packets
• Regeneration of Airy pulses in fiber-optic links with dispersion management of the two leading dispersion terms of opposite signs

Cited by in corpus (5)

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• Closed-form expressions for nonparaxial accelerating beams with pre-engineered trajectories
• Tail-free self-accelerating solitons and vortices
• Dispersive radiation and regime switching of oscillating bound solitons in twin-core fibers near zero-dispersion wavelength
• The interaction of Airy waves and solitons in the three-wave system