  This paper discusses the basic concepts of phase dislocations and vortex
formation in the electric fields of fundamental air core mode of hollow core
waveguides with specific types of rotational symmetry of the core cladding
boundary. Analysis of the behavior of the electric field phase in the
transmission bands shows that the mechanism of light localization in the hollow
core waveguides with discrete rotational symmetry of the core cladding boundary
cannot be completely described by the ARROW model. For an accurate description
of the phase behavior, it is necessary to account for phase jumps of the
magnitude of pi when passing through the phase dislocations.
