Application of Spiral Laser Beams for Beam Shaping Problem

Spiral beams are paraxial structurally stable rotating wavefields. For any planar curve there are such spiral beams, whose intensity shape is similar to the curve. The usage of Gerchberg-Saxton iterative algorithm and the initial data, based on spiral beam theory, provide an effective way for construction of specific vortical phase elements. These elements focus a homogeneous laser beam into the field with the intensity in the shape of a planar curve. Results of numerical simulation for some planar curves (a line segment, a circle, and a right triangle boundary) are presented