Propagation dynamics of hybrid-order Poincaré beams in thermal nonlocal media

We study the propagation dynamics of hybrid-order Poincaré (HOP) beams, consisting of two coaxially propagating, orthogonal circularly polarized beams with different topological charges, in a nonlocal medium with thermal nonlinearity. By numerically observing the evolution of beamwidth, isosurface and light intensity with propagation distance, we verify that a HOP soliton with a certain beamwidth ratio can exist only at a proper power ratio. At a fixed propagation distance, the rotation of polarization component of the HOP breather can be controlled linearly by the input power. The polarization of HOP beams is observed as a function of the propagation distance, and the evolution regularity of the polarized rotation angle and ellipticity angle of HOP soliton and HOP breather is summarized.