Dispersion of electromagnetic waves in a coaxial line filled with ferrite

TL;DR

This paper derives the exact dispersion relation for electromagnetic waves in a coaxial line filled with ferrite, analyzing wave behavior for different wave types and providing insights into wave propagation in ferrite-filled coaxial structures.

Contribution

It presents an exact analytical solution for the dispersion equation in ferrite-filled coaxial lines, including the homogeneous case, which was not previously detailed.

Findings

Dispersion curves for TEM, E-, and H-waves are characterized.

Wave propagation behavior in ferrite-filled coaxial lines is elucidated.

Analytical expressions enable better design of ferrite-based waveguides.

Abstract

By solving Maxwell's equations the exact dispersion equation for electromagnetic waves propagating in a layered coaxial ferrite line is obtained. In particular the analytical consideration is carried out for a simpler case of complete filling of the coaxial line with ferrite (i.e. homogeneous ferrite line). The behavior of dispersion curves of TEM - electromagnetic waves, as well as E - and H - waveguide electromagnetic waves, is investigated.