Stabilizing single- and two-color vortex beams in quadratic media by a trapping potential
Stabilizing single- and two-color vortex beams in quadratic media by a trapping potential
We consider two-dimensional (2D) localized modes in the second-harmonic-generating \chi ^{(2)} system with the harmonic-oscillator (HO) trapping potential. In addition to its realization in optics, the system describes the mean-field dynamics of mixed atomic-molecular Bose-Einstein condensates (BECs). The existence and stability of various modes is determined by their total power, …