Two-dimensional $\chi^{2}$ solitons generated by the downconversion of Airy waves

TL;DR

This paper investigates how truncated Airy waves in a 2D quadratic nonlinear system spontaneously convert into stable $ ext{chi}^2$ solitons via parametric instability, revealing new multi-soliton formation phenomena.

Contribution

It demonstrates the spontaneous generation of multiple stable 2D $ ext{chi}^2$ solitons from Airy wave inputs, extending understanding beyond 1D cases.

Findings

Multiple stable solitons can form from Airy wave inputs.

Conversion efficiency depends on input parameters.

Stable vortex-induced solitons are observed.

Abstract

Conversion of truncated Airy waves (AWs) carried by the second-harmonic (SH) component into axisymmetric $\chi^{2}$ solitons is considered in the 2D system with the quadratic nonlinearity. The spontaneous conversion is driven by the parametric instability of the SH wave. The input in the form of the AW vortex is considered too. As a result, one, two, or three stable solitons emerge in a well-defined form, unlike the recently studied 1D setting, where the picture is obscured by radiation jets. Shares of the total power captured by the emerging solitons and conversion efficiency are found as functions of parameters of the AW input.