Abstract
We propose and analyze a new optical system to transform the (most characteristic) linearly polarized laser modes into axially symmetric (radial or azimuthal) modes, which show more promise in various applications, as well as generating various inhomogeneously polarized configurations. The system is based on the coherent composition of the modal beams with use of phase diffraction gratings, which allow the inter-mode phase shift to be varied without resort to auxiliary components. What makes the system simple and universal is the use of diffraction gratings to generate required mode patterns with specific space orientation alongside the simultaneous generation of different beams with different transverse mode content, which can subsequently be combined.
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