Rotating self-trapped necklace beams, Coriolis force, and fractional angular momentum

Summary form only given. In a recent article we proposed the first stable self-trapped beams in (2+1) D cubic self-focusing NLSE, the so-called necklace-ring beams. Necklace beams are shaped like rings whose thickness w is much smaller than their radius R, and whose intensity is azimuthally periodically modulated. Preliminary experiments with self-trapped necklaces have already been reported. Here, we present self-trapped necklace beams that carry angular momentum, and in contrast to all known results with bright and dark solitons, this angular momentum can be a non-integer multiple of the energy. In other words, we present the first self-trapped beams (of any kind) carrying a non-integer topological charge. Further, we demonstrate Coriolis force effects on rotating self-trapped beams.