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In this paper we derive the equations for the subwavelength grating vector of polarization element that creates the arbitrary order radially polarized beam. We show that the element can be implemented with different shape for different orientations of the input and output polarization. There are under consideration different essential cases of the first and the second order polarization. The second-order element can be sun- or mira- shape and axicon shape. Intermediate shapes are also possible.

Subwavelength gratings for creation and focusing of cylindrical vector beams