Investigation of the class of algebraical functions for interpolation of boundary trajectories of short-focus electron beams

Authors

  • Igor V. Melnyk The Department of Electronic Devices and Systems of the Faculty of Electronics of the National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine https://orcid.org/0000-0003-0220-0615
  • Alina V. Pochynok Education and Research Institute of Information Technologies of the University of the State Fiscal Service of Ukraine, Kyiv, Ukraine https://orcid.org/0000-0001-9531-7593

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2020.3.02

Keywords:

electron beam, electron beam guiding, focal region, interpolation, class of algebraic functions

Abstract

The method for interpolating the dependence of the electron beam radius on the cutting plane position by the longitudinal coordinate, based on using the special class of interpolation functions, was investigated in this article. The roots of n-th order from the polynomials of the same order are used as the class of interpolation functions, which correspond to the ravine dependence of the radius of a short-focus electron beam on the distance of propagation. The results of testing have shown that, depending on choosing the set of basic points, including its position relatively to the minimum and their quantity, the relative interpolation error is between 0,7% and 8%. Obtained results of mathematical simulation of focal parameters of electron beams have the significant practical importance for the specialists, involved in the development and introduction into industrial production of modern highly effective electron-beam technological equipment.

Author Biographies

Igor V. Melnyk, The Department of Electronic Devices and Systems of the Faculty of Electronics of the National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv

Igor Melnyk,

Doctor of Technical Sciences, a professor at the Department of Electronic Devices and Systems of the Faculty of Electronics of the National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine.

Alina V. Pochynok, Education and Research Institute of Information Technologies of the University of the State Fiscal Service of Ukraine, Kyiv

Alina Pochynok,

Candidate of Technical Sciences (Ph.D.), an associate professor at the Department of Information Systems and Technologies of the Education and Research Institute of Information Technologies of the University of the State Fiscal Service of Ukraine, Kyiv, Ukraine.

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Published

2020-12-07

Issue

No. 3 (2020)

Section

Progressive information technologies, high-efficiency computer systems

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