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The spontaneous emergence of vector vortex beams with non-uniformpolarization distribution is reported in a vertical-cavity surface-emittinglaser (VCSEL) with frequency-selective feedback. Antivortices with a hyperbolicpolarization structure and radially polarized vortices are demonstrated. Theyexist close to and partially coexist with vortices with uniform and non-uniformpolarization distributions characterized by four domains of pairwise orthogonalpolarization. The spontaneous formation of these nontrivial structures in asimple, nearly isotropic VCSEL system is remarkable and the vector vortices areargued to have soliton-like properties.

Spontaneous formation of vector vortex beams in vertical-cavity surface-emitting lasers with feedback