To the theory of helical waveguides
Classical Physics
2025-12-02 v1 Materials Science
Applied Physics
Abstract
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.
Cite
@article{arxiv.2512.00066,
title = {To the theory of helical waveguides},
author = {A. S. Yurkov},
journal= {arXiv preprint arXiv:2512.00066},
year = {2025}
}