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6 June 2018 An analysis of propagation of Gauss-Hermite beams with embedded optical vortex in parabolic fiber
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Proceedings Volume 10774, Optical Technologies in Telecommunications 2017; 107740X (2018)
Event: XV International Scientific and Technical Conference on Optical Technologies in Telecommunications, 2017, Kazan, Russian Federation
An investigation of behavior of different types of vortical laser beams in parabolic media widens a set of optical signals used for the telecommunication. Generally, Laguerre-Gauss modes and Bessel ones are regarded as vortical. However, lately researchers examine other types of laser modes which primordially not have the vortical phase singularity (for example, Hermite-Gauss modes or Airy beams) but the singularity is embedded into these beams additionally. The embedding of the vortical phase into an arbitrary laser field may be realized by means of diffractive optic tools.

In this paper the transformation of Hermite-Gauss (HG) beams with embedded vortex phase by lens system is investigated theoretically and numerically. A particular attention is attended to the formation of vortex phase singularities in focal area. It is shown, that under appointed relations between HG mode indices and the number of embedded optical vortex, the vortex phase singularity in a focal plane centre may be disappeared. The modeling of the vortical HG beams propagation through a waveguide with a parabolic dependence of the refractive index is implemented on base of the fractional Fourier transformation (FrFT).
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A. V. Ustinov "An analysis of propagation of Gauss-Hermite beams with embedded optical vortex in parabolic fiber", Proc. SPIE 10774, Optical Technologies in Telecommunications 2017, 107740X (6 June 2018);

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