Abstract
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 π when passing through the phase dislocations.
Highlights
The mechanisms of light localization of the fundamental air core mode in hollow core waveguides were considered from the perspective of the phase dislocations of the mode fields and their impact on vortex formation in the transverse component of the Poynting vector
According to the ARROW model, the most efficient reflection of radiation of the air core mode from the waveguide wall can be achieved at an anti-resonant condition when phase incursion in the waveguide wall is ( m + 1/ 2 ) π, where m is an integer
According to the ARROW model, the most efficient reflection of radiation of the air core mode from the waveguide wall can be achieved at an anti-resonant condition when phase incursion in the waveguide wall is (m + 1/2)π, where m is an integer
Summary
This means that there is an axial component Lz of the kinetic (Abraham-type) capillaries (negative curvature hollow core fibers) In this case, as will be shown below, total angular momentum density [13] of the leaky fundamental air core mode. If the crystal fibers) [1], can have a complex shape of the core-cladding boundary in the form of core-cladding boundary has a discrete rotational symmetry or the elements of the polygons (Kagome lattice hollow core fibers [14]) or have a cladding consisting of a set of waveguide cladding are arranged according to a specific type of discrete rotational capillaries (negative curvature hollow core fibers) In this case, as will be shown below, the symmetry, the structure of the radial projection of the Poynting vector has the same type formation of singularities and phase dislocations of the electric fields of the fundamental of rotational symmetry.
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