  Based on angular amplitude modulation of orthogonal base vectors in
common-path interference method, we propose an interesting type of hybrid
vector beams with unprecedented azimuthal polarization gradient and demonstrate
in experiment. Distinct to previously reported types, the synthetic hybrid
vector beams exhibit geometrically intriguing projection tracks of angular
polarization state on Poincare sphere, more than just conventional circles.
More noteworthily, the designed azimuthal polarization gradients are found to
be able to induce azimuthally non-uniform orbital angular momentum density,
while generally uniform for circle-track cases, immersing in homogenous
intensity background whatever base states are. Moreover, via tailoring relevant
parameters, more special polarization mapping tracks can be handily achieved.
These peculiar features may open alternative routes for new optical effects and
applications.
