Abstract
The self-accelerating Airy Ince–Gaussian (AiIG) and Airy helical Ince–Gaussian (AihIG) wave packets in strongly nonlocal nonlinear media (SNNM) are obtained by solving the strongly nonlocal nonlinear Schrödinger equation. For the first time, the propagation properties of three dimensional localized AiIG and AihIG breathers and solitons in the SNNM are demonstrated, these spatiotemporal wave packets maintain the self-accelerating and approximately non-dispersion properties in temporal dimension, periodically oscillating (breather state) or steady (soliton state) in spatial dimension. In particular, their numerical experiments of spatial intensity distribution, numerical simulations of spatiotemporal distribution, as well as the transverse energy flow and the angular momentum in SNNM are presented. Typical examples of the obtained solutions are based on the ratio between the input power and the critical power, the ellipticity and the strong nonlocality parameter. The comparisons of analytical solutions with numerical simulations and numerical experiments of the AiIG and AihIG optical solitons show that the numerical results agree well with the analytical solutions in the case of strong nonlocality.
Highlights
Ince-Gaussian (IG) beams, which constitute the third complete family of transverse eigenmodes of stable resonators, have attracted extensive attention from research communities all over the world since it was introduced by Bandres and Gutiérrez-Vega[1,2]
Having found the analytical solutions of Eqs (16–18) in strongly nonlocal nonlinear media (SNNM), we concentrate on the comparison of analytical solutions with numerical simulations and numerical experiments of the spatiotemporal Airy Ince-Gaussian (AiIG) and Airy helical Ince-Gaussian (AihIG) wave packets in the following
We have obtained a novel class of self-accelerating AiIG and AihIG optical breathers and solitons in SNNM from the method of separation of variables
Summary
Ince-Gaussian (IG) beams, which constitute the third complete family of transverse eigenmodes of stable resonators, have attracted extensive attention from research communities all over the world since it was introduced by Bandres and Gutiérrez-Vega[1,2]. Airy wave packets were widely reported in free space[16,17,18] and quadratic index medium[20,21] due to the self-accelerating[22,23,24,25,26], self healing[27] and no diffraction[28] features of Airy distribution. It is worth mentioning some pioneer works in Airy related wave packets. What will happen when the 3D localized Airy Ince-Gaussian (AiIG) wave packets propagate in the SNNM? What will happen when the 3D localized Airy Ince-Gaussian (AiIG) wave packets propagate in the SNNM? It will be significant to investigate the AiIG and Airy helical Ince-Gaussian (AihIG) optical breathers and solitons and their propagation dynamics in the SNNM
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