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Modeling of Nonlinear Interaction of Space Charge Waves with Trapped Particles

Sayavur I. Bakhtiyarov*, Dale C. Ferguson **

* New Mexico Institute of Mining and Technology, Socorro, New Mexico, USA.

** Air Force Research Laboratory, Space Vehicles Directorate, Kirtland AFB, New Mexico, USA.

Periodicity:February - April'2021
DOI : https://doi.org/10.26634/jfet.16.3.17867

Abstract

In this paper, we developed a mathematical model to evaluate nonlinear interaction between the space charge waves of electrons and charged particles (electrons, protons, ions) trapped in the matrix material. An interaction between the electron beam and the charged particles already trapped in the matrix is described by the Poisson's elliptic partial differential equation. The motion of electron beam has been described by the momentum and the conversation of charge equations. The system of differential equations has been solved by Krylov-Bogolyubov's method of averaging. Numerical simulations have been conducted using SIMULINK®.

Keywords

Space Charge, Nonlinear, Electron Beam, Eigen Wave.

How to Cite this Article?

Bakhtiyarov, S. I., and Ferguson, D. C. (2021). Modeling of Nonlinear Interaction of Space Charge Waves with Trapped Particles. i-manager's Journal on Future Engineering and Technology, 16(3), 1-7. https://doi.org/10.26634/jfet.16.3.17867

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