Generation of optical vortices in non-parity-time-symmetric chiral-core optical fibers

In this Letter, we have studied the effect of losses and gains on generation of optical vortices (OVs) in a chiral fiber with an l-fold rotational symmetric core. Studying both unequal attenuations and symmetric loss-gain cases for core and orbital angular momentum (OAM) modes, we show that losses may play a constructive role in generation of OVs from a Gaussian input. We study the processes of field evolution at the exceptional point (EP). We show that at the EP any superposition of the fundamental mode and l-charge OV evolves in the limit into an equal-weighted superposition of such fields that forms a special attractor mode with average l/2 OAM per photon. At the generalized Poincare sphere, such a mode is represented by the OAM black hole in analogy with the spin black hole introduced in [Optica3, 1025 (2016)OPTIC82334-253610.1364/OPTICA.3.001025].