Hermite–Laguerre–Gaussian beams in strongly nonlocal nonlinear media

Abstract

We obtain an exact Hermite–Laguerre–Gaussian (HLG) beam solution of the Snyder–Mitchell mode, which is confirmed by the simulation of the nonlocal nonlinear Schrödinger equation. HLG breathers and solitons can be obtained by taking different input power. The HLG beams are a unity of Hermite–Gaussian beams (HGBs) and Laguerre–Gaussian beams (LGBs), which form the exact and continuous transition modes between HGBs and LGBs when an additional parameter changes continuously.