Berry's phase of guided vortices in an optical fiber

Vladlen G. Shvedov; Alexander V. Volyar; Vitautas Z. Zhilaitis

doi:10.1117/12.317694

3 August 1998 Berry's phase of guided vortices in an optical fiber

Vladlen G. Shvedov, Alexander V. Volyar, Vitautas Z. Zhilaitis

Proceedings Volume 3487, International Conference on Singular Optics; (1998) https://doi.org/10.1117/12.317694
Event: International Conference on Singular Optics, 1997, Partenit, Crimea, Ukraine

Abstract

It is shown that the difference in structure and propagation constants of guided vortices of an optical fiber is connected with a topological phase of the given vortices. The field state of CV and IV vortices is uniquely presented by a pair of numbers: a topological phase (iota) and polarization helicity (sigma) ₂. Symmetry relationships, which are characteristic for the topological phases, extend to this pair of numbers. Thus, a simultaneous change of the sign (iota) and (sigma) ₂ leaves the vortex state unchanged. The sign change of only one of the numbers transforms the vortex from the state CV (or IV) into another state IV (or CV). These symmetry relationships reflect the result of spin-orbital interaction in vortices and determine the eligibility of quantum numbers: topological charge and helicity.

Citation Download Citation

Vladlen G. Shvedov, Alexander V. Volyar, and Vitautas Z. Zhilaitis "Berry's phase of guided vortices in an optical fiber", Proc. SPIE 3487, International Conference on Singular Optics, (3 August 1998); https://doi.org/10.1117/12.317694

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