Method for determining the initial parameters of subbeams ensuring the preset intensity and polarization distribution of the synthesized beam

One of the promising fields of research in structured light control today is the formation of preset radiation intensity and polarization distributions. Some results obtained in this field are already successfully used in optical communications, materials processing, manipulation, and visualization of micro-objects. We present a method that allows simultaneous generation of a preset intensity and polarization distribution of a laser beam within a single approach. This is achieved by controlling the amplitude, phase, and polarization of an array of coherently combined subbeams (focused onto a given plane). The control of the subbeam parameters is based on the modified SPGD method using phase and polarization elements in the feedback loop. The subbeam parameters ensuring the given characteristics of the synthesized vector field are determined with the modified well-known Gerchberg-Saxton algorithm applied to each of the orthogonal components of the vector field. It is shown that arrays of relatively small size allow the formation of rather complex patterns of nonuniform radiation intensity and polarization distribution.