Generation of \c{hi}2 solitons from the Airy wave through the parametric instability

Abstract

Spontaneous creation of solitons in quadratic media by the downconversion, i.e., parametric instability against the generation of fundamental-frequency excitations, from the truncated Airy-wave (AW) mode in the second-harmonic component is studied. Parameter regions are identified for the generation of one, two, and three solitons, with additional small-amplitude "jets". Shares of the total power carried by individual solitons are found. Also considered are soliton patterns generated by the downconversion from a pair of AWs bending in opposite directions.

4 pages, 6 figures, Optics Letters, in press

References in corpus (4)

• Airy beam induced optical routing
• Interactions of Airy beams, nonlinear accelerating beams, and induced solitons in Kerr and saturable nonlinear media
• Coupled Airy breathers
• On the dynamics of Airy beams in nonlinear media with nonlinear losses

Cited by in corpus (6)

• Soliton Shedding from Airy Pulses in a Highly Dispersive and Nonlinear Medium
• Interactions of solitons with positive and negative masses: Shuttle motion and co-acceleration
• Tail-free self-accelerating solitons and vortices
• The interaction of Airy waves and solitons in the three-wave system
• Two-dimensional ${\chi }^2$ solitons generated by the downconversion of Airy waves
• Self-accelerating solitons