Analytical and practical implementation of anamorphic beam shaping in polar coordinates, Spinner system

The theoretical model for anamorphic beam shaping using polar coordinates has been developed from established formalism in Cartesian coordinates, using the beam quality factor term M2. An incident multimode beam is split into radial segments (sub-beams). These sub-beams are then redirected in azimuthal coordinates using a special optical element (Spinner element), and focused by a lens, creating a diffraction limited ring with a significantly narrower width than a ring created by an Axicon. The proposed concept is confirmed in both geometrical raytracing and physical optics propagation methods. A practical optical system is proposed, taking into considerations both input and output parameters. A simulation of the system in geometrical ray tracing achieved much higher intensity in comparison to that achieved by a ring-shaped beam using an Axicon element.