We propose an improved version of the earlier developed optical arrangement for forming inhomogeneously polarized laser radiation on the basis of the sum of two circulary polarised beams. One of these beams has right circularly polarization, and another–left, besides these beams has the phase vortices of opposite signs. DOE s for generating higher-order cylindrical beams was calculated and fabricated . In the experiments, the quality of the resulting beams is shown to be improved.