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## Analysis of the dispersion characteristics of the slow-wave structures used in the terahertz range devices

T-Comm: Telecommunications and transport. 2017. Vol. 11. No. 4. P. 81-86.
Kravchenko N., Стромов Ю. В., Чхеидзе А. А., Mukhin S.

Models of slow-wave structures are used in simulating millimetre band devices are considered in the research. It is reasonable to use axially-symmetric slow-wave structures (SWS) for designing millimetre band traveling wave tubes (TWT). Simulating of considered slow-wave structure's 3D model produced in HFSS software package . The program that is outlined in  is used for calculation of dispersion characteristics. The model of slow-wave structure cell bases on the results of calculation. The nature of the distribution of the electromagnetic field in the system depends on the interaction features of electrons and the field in the TWT with slow-wave structure. The discrete approach described in  is the most common for solving this type of problems. It is electrodynamically justified to use difference equation for description of the discrete interaction in a traveling wave tube, in which the phase of the field in the interaction gaps in the longitudinal direction remains constant. The difference form of the electrodynamic theory of excitation allows to justify the use of one or another mathematical model for constructing a finite-difference equation . The coefficients of the finite-difference equation have a certain electrodynamic significance because they are calculated through the transmission matrix coefficients of the 2-N pole. Mathematical model of discrete interaction becomes more accurate when accuracy of coefficients of the finite-difference equation increases. In the research the 2-N pole is sextopole that appears form octopole in case of excitation current absence. The resulting sextopole is a mathematical model of the slow-wave structure cell. Coefficients of the obtained 2-N pole justifies accuracy, realism and recuperation of Electrodynamic characteristics of the simulated resonator slow-wave structure. Specification of discrete interaction processes in traveling-wave tubes, and electrodynamic processes in the SWS is ensured by the correct selection of the transmission matrix coefficients.