Engineering monstar polarization disclination through geometric phase

We present a method to generate monstar singularities via Pancharatnam-Berry phase by the coherent collinear superposition of two Free-Form Dark Hollow beams, $FFD{H}_q^m$, of topological charge $q$, and order of symmetry $m$. FFDH beams are generated with the geometrical parameters of a closed curve exploited to obtain a nonuniform rotation rate of the local polarization azimuth and generate monstar patterns. We report space-variant polarization patterns: radial- and azimuthal-like, lemon- and star-like for symmetric disclinations, and the asymmetric monstar disclination. We present theory and measurements, and find excellent agreement between the two.