2025/11/24 by A. S. Yurkov, Yurkov, A. S. · 1 voice
Engineering · Physics and Astronomy · #Anisotropy #Applied Physics (physics.app-ph) #Classical Physics (physics.class-ph) #Dielectric #Electromagnetic Scattering and Analysis #Electromagnetic radiation #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Maxwell's equations #Microwave Engineering and Waveguides #Microwave and Dielectric Measurement Techniques #Permittivity #Waveguide #Zero (linguistics) #cond-mat.mtrl-sci #physics.app-ph #physics.class-ph
paper · pdf · doi:10.48550/arxiv.2512.00066
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2025/11/24 · arxiv published 2025/11/24 · arxiv updated 2025/11/24 · openalex created_date 2025/12/03 · openalex updated_date 2026/08/05
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.