The paper is received on April 14, 2014
 
Abstract. The aim of this work is to develop an
algorithm and program for calculating the dispersion characteristics of the
resonator slow-wave systems with channel -flight filled with plasma, using the
methods of three-dimensional modeling. 
To achieve this 
goal the following problems were solved:
1. the problem of describing the cell resonator slow-wave system with 
channel-flight filled with plasma transfer multipole matrix is formed and the 
ratio for determination the dynamic characteristics of slow-wave systems of the 
coefficients of the matrix are shown;
2. a review of methods for solving key problems of electrodynamics and programs 
suitable for determining the coefficients of the transfer matrix multipole 
modeling cell slow-wave system are given;
3. algorithm and 
data processing of software simulation of three-dimensional resonator slow-wave 
system are developed;
4. an analysis of 
the dispersion characteristics of the resonator slow-wave systems when the 
concentration of plasma is fulfilled.
        
        Keywords: 
        slow-wave structure, multipole, three-dimensional modeling, 
        electrodynamic characteristics.