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Comparison of methods for interpolation and extrapolation of boundary trajectories of short-focus electron beams using root-polynomial functions
(КПІ ім. Ігоря Сікорського, 2024) Melnyk, Igor V.; Pochynok, Alina V.; Skrypka, Mykhailo Yu.
The article considers and discusses the comparison of interpolation and extrapolation methods of estimation of the boundary trajectory of electron beams propagated in ionized gas. All estimations have been computed using root-polynomial functions to numerically solve a differential-algebraic system of equa-tions that describe the boundary trajectory of the electron beam. By providing analy-sis, it is shown and proven that in the case of solving a self-connected interpolation-extrapolation task, the average error of the beam radius estimation is generally smaller. This approach was especially effective in estimating the focal beam radius. An algorithm for solving self-connected interpolation-extrapolation tasks is given, and its efficiency is explained. Corresponding graphic dependencies are also given and analyzed