In this paper we describe the method that allowed us to arrive at a dispersion equation for the electrodynamical analyses ofopen layer cylindrical gyrotropic waveguides. We numerically investigated dispersion characteristics of longitudinally magnetized semicon-ductor p-Ge and n-lnSb waveguides at several free charge carrier concentrations A for several modes. We analyzed the n-lnSb waveguide's dispersion dependences on the extemal constant magnetic field strength. We also analyzed cutoff frequency dependences of the main HE i and the first higher mode EH i on the IV. We discovered that the vvaveguide wideband at the beginning decreascs and then by a sudden change it increases when the concentration N is increased. We analyzed the dispersion charactcristics of'the longitndinally magnetized ferrile-dielectric vvaveguide on different electrodynamical parameters. We discovered that the vvorking frequency band be-comes wider for a microvvave with a right-hand polarization when the fem'te magnetization is increased. Thc same dependencc Ibr a micro-vvave with a left-hand polarization has the opposite effect. The experimental and calculated difterential comparison ofthe phase shift ofthe ferrite waveguide on the value ofthe territe magnetization show that these results were in agreement with each other
