Abstract

This work is devoted to a new section of singular optics supplying a fractional topological charge on the axis. The peculiarity of this type of beams is structural instability. With a small external perturbation, these beams form optical arrays. Such optical vortices can be connected and, as it were, form an integral picture, or decay during propagation due to the fact that each of the vortices receives an additional phase swell. These studies were based on an experimental study and theoretical calculation of beams with a vector structure. And transporting optical vortices with a topological fractional charge, which is evidence of the formation of asymmetric TM (transverse magnetic) and TE (transverse electric) modes in free space. Some features of their vector “thin” structures have been studied in free space.

Highlights

  • The fractional-order vortex beams permit us to construct unusual wave structures with the broken axial symmetry

  • In contrast to the usual axial symmetric TE and TM modes with a local linear polarization in each point of the beam, the broken symmetry of the TE and TM mode beams with a fractional order p 1/ 2 vortices in each polarized component contains local elliptic polarizations at different points of the beam cross-section under the conditions Ez 0 for TE and Hz 0 for TM beams along the beam length

  • The broken symmetry of the vector field dictates the choice of the basis in the form of circularly polarized components

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Summary

Introduction

The fractional-order vortex beams permit us to construct unusual wave structures with the broken axial symmetry. In contrast to the usual axial symmetric TE and TM modes with a local linear polarization in each point of the beam, the broken symmetry of the TE and TM mode beams with a fractional order p 1/ 2 vortices in each polarized component contains local elliptic polarizations at different points of the beam cross-section under the conditions Ez 0 for TE and Hz 0 for TM beams along the beam length. The broken symmetry of the vector field dictates the choice of the basis in the form of circularly polarized components. Секция: Компьютерная оптика и нанофотоника Features of the fine structure of asymmetric TE and TM modes u.

Half-order vortex beams
C C 2 j m 2n 1 n j sin2 j m d sin
Conclusion
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