To the theory of helical waveguides

Fuente: arXiv
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Autore principale: Yurkov, A. S.
Natura: Preprint
Pubblicazione: 2025
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author Yurkov, A. S.
author_facet Yurkov, A. S.
contents It makes sense to consider a helical waveguide with a fine pitch approximately, replacing the turns with anisotropic conductivity: infinite along the turns and zero across them. This approach has been known for a long time, but calculation formulas within it have only been obtained for the case where the winding does not contain a dielectric core. This paper addresses this gap in the theory: calculation formulas are obtained for the case where the waveguide contains a dielectric with a certain permittivity and magnetic permeability. An equation determining the slowing factor is found, and a method for its numerical solution is proposed. Explicit formulas are obtained for the wave impedance.
format Preprint
id arxiv_https___arxiv_org_abs_2512_00066
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle To the theory of helical waveguides
Yurkov, A. S.
Classical Physics
Materials Science
Applied Physics
It makes sense to consider a helical waveguide with a fine pitch approximately, replacing the turns with anisotropic conductivity: infinite along the turns and zero across them. This approach has been known for a long time, but calculation formulas within it have only been obtained for the case where the winding does not contain a dielectric core. This paper addresses this gap in the theory: calculation formulas are obtained for the case where the waveguide contains a dielectric with a certain permittivity and magnetic permeability. An equation determining the slowing factor is found, and a method for its numerical solution is proposed. Explicit formulas are obtained for the wave impedance.
title To the theory of helical waveguides
topic Classical Physics
Materials Science
Applied Physics
url https://arxiv.org/abs/2512.00066