Singular beams based on tangential phase warp

Singular Warped Beams Controlled by Tangent Phase Modulation

“…Following the steps of our previous work [27], we propose a spatial phase modulation different than the regular LG mode. The beams proposed have different ramps between dislocations.…”

“…These coefficients normalize the functions to deliver phase values in a range similar to that of Kinds 4, 5 and 6. In a previous work we have analyzed the TC of these beams [27] and have discovered that the TC depends on the kind of wrapping of the tangent function. Further discussion on this can be found in the aforementioned reference.…”

“…In a previous work [27] we introduced the tangent beams and proved that they have some interesting values of topological charge (TC) at the far field. Particularly, if the tangent function is cut while performing the wrapping procedure, the TC can be manipulated to a certain extend.…”