Abstract
An approach to the calculation of the coupling coefficient of the amplified wave and electron beam in a TWT using the parameters of equivalent line including inductance and capacitance per unit length is considered. It is demonstrated that the parameters of electron beam can be taken into account in the equation of equivalent line when the equivalent capacitance is represented as a sum of two capacitances one of which is a function of the transverse constant found with allowance for solutions to equations of electronics. The expansion of equivalent parameters in series with accuracy to the terms of the first order of smallness with respect to the unperturbed transverse constant and the comparison of the equations of equivalent line in the presence and in the absence of electrons makes it possible to represent the coupling coefficient as a function of equivalent parameters of the corresponding slow-wave structure. The resulting expression is verified using the simplest examples for which the coupling coefficient is known from preliminary calculations based on electrodynamic equations.
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