Dispersion characteristics of the cylindrical waveguide filled by magnetoactive plasma

The dispersion properties of the waveguides that filled by magnetoactive plasma are investigated during several decades of years. The most interest is slow waves in such systems because they may be used for particle acceleration. On the other hand, for theoretical and experimental researches of chaotic processes of interaction of waves in nonlinear medium it is necessary to know dispersion of fast waves. The analysis such dispersion is a difficult problem. For to-day there are only several results for very narrow special cases. We investigated this problem generally. Some most important results of these researches are below presented.