MODELING PLANAR ELECTRON BEAM TRAJECTORIES IN THE MAGNETIC FIELD OF MAGNETRON GUN
DOI:
https://doi.org/10.32782/mathematical-modelling/2025-8-1-11Keywords:
precision electron beam, magnetron gun, electron dynamics, gradient magnetic field, mathematical modeling, experimental dataAbstract
The paper considers the motion of electrons in the cylindrical magnetic field with variable strength along the main axis of the field. A numerical model for the distribution of the magnetic field of the magnetron gun, as well as an algorith- mic transformation of the experimental field data by analytical functions are used. The object of the study was to construct the model of the motion of an electron beam with an energy of tens of keV in gradient magnetic field, to study the formation of electron trajectories, the dependence of particle dynamics on the initial conditions and the distribution of the magnetic field along the axis of the system. The purpose of the work is to obtain precision characteristics of the electron beam with energy of 20–30 keV in the longitudinal and radial directions during its transportation in the disturbed magnetic field of the solenoid of the magnetron gun. An algorithm was synthesized, on the basis of which the software tool was built, the use of which made it possible to simulate the main dependencies of the electron beam motion in the given solenoidal magnetic field. The paper presents the results of numerical modeling of electron trajectories in the main magnetic field of the gra- dient-type magnetron gun with secondary-emission cathode. The formation of the beam with an energy of 20–30 keV in the working volume of the gun during its transportation in the solenoidal magnetic field with large gradient is considered.The main characteristics of the electron beam were obtained when performing modeling calculatio1ns. The modes of the particle beam during their movement along the transportation axis were determined. The dependence of the formation of the resulting distribution of particles in the magnetic field along the system axis was studied. The root-mean-square spread of electrons along the vertical was chosen as the quality criterion. The dependence of the longitudinal spread of particles on the distance traveled along the system axis was obtained.
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