LONGITUDINAL TRAP OF ELECTRON BEAM IN POTENTIAL PIT MAGNETIC SOLENOIDAL FIELD
A two-mode cylindrical magnetic field is considered, the potential of which has a minimum. The object of this work is the study of the parameters of an electron beam when it moves in a solenoid field with the longitudinal trap formed by the magnetic field, and the construction of the computational model of the motion of an electron beam. The problem is posed of the stability of the motion of electrons in such solenoid magnetic field. The possibility of obtaining oscillatory modes of particle motion has been studied. It was found that for oscillations of particles with an energy of tens of kiloelectronvolts in the potential well in a well, the field with the amplitude of tens of thousands of Oersteds is required. For the solenoid magnetic field of the solenoid, the formation of electron beam with an energy of 55 keV in the longitudinal and radial directions during its transportation is studied. A section of a magnetron gun was used as the physical object. One possible direction is to combine the two matched magnetic systems of the gun to create the potential magnetic field well. It is shown that, for the chosen conditions, the motion of electrons can be associated with the model of three-dimensional oscillations. In this work, on the basis of the Hamiltonian formalism of the motion of electrons in a magnetic field and an algorithm for numerically finding solutions to the differential equations of dynamics, a software tool is constructed that allows one to obtain arrays of values of particle trajectories in the volume. The use of the software made it possible to simulate the main dependences of the motion of the electron beam in a given two-mode solenoid magnetic field. The results of numerical simulation of electron trajectories in the gradient magnetic field with the point secondary emission cathode located in the middle of the system are presented. The formation of the beam with energy of 55 keV in the radial and longitudinal directions during its transportation in a solenoid magnetic field with a large gradient is considered. For significant time intervals, the possibility of three-dimensional oscillations is shown and the operating modes of the magnetic system are obtained, in which the particle undergoes stable three-dimensional oscillations. The influence of the initial conditions during emission on the occurrence of the reciprocating oscillatory effect has been studied. It is shown that for a given electron energy and fixed magnetic field, the parameter that determines the reflection of a particle, is the polar angle of entry relative to the axis of the cylindrical magnetic field. The dependence of the formation of the final distribution of particles on the amplitude and gradient of the magnetic field along the axis of the system is investigated. The results of numerical simulation on the motion of the electron flow are presented. The characteristics of the resulting electron beam are considered on the basis of a model of electron flow motion. The obtained simulation results show that it is possible to establish the phenomenon of oscillatory-return longitudinal motion under experimental conditions.
Keywords: electron beam, magnetron gun, three-dimensional oscillations, electron dynamics, gradient magnetic field, mathematical modeling.
Ayzatsky M. I., Dovbnya A. N., Mazmanishvili A. S., Reshetnyak N. G., Romas'ko V. P., Chertishchev I. A. Studies on formation of the radially-directed electron beam generated by the magnetron gun with a secondary emission cathode. Problems of Atomic Science and Technology. Series “Nuclear Physics Investigations”. 2016, issue 66, no. 3(103), pp. 11–16.
Dovbnya A.N., Dovbnya N.A., Mazmanishvili A.S., Reshetnyak N.G. Longitudinal-radial motion of an electron beam in the solenoidal field of the secundary-emission magnetron gun. Problems of Atomic Science and Technology, series “Nuclear Physics Investigations”. 2017, issue 69, no. 6 (112), pp. 96–100.
Mazmanishvili A.S., Reshetnyak N.G. Electron beam transversion managemement on exit of magnetic gun by gradient magnetic field. Problems of Atomic Science and Technology, series “Nuclear Physics Investigations”. 2019, issue 72, no. 6 (124), pp. 106–113.
Artsimovich L.A. Upravlyaemye termoyadernye reakcyi [Controlled thermonuclear reactions]. Moscow, Fizmatgiz, 1963. 496 p.
Trubnikov B.A. Teoriya plazmy [Plasma theory]. Moscow, Energoatomizdat, 1996. 462 p.
Miyamoto K. Osnovy fiziki plazmy I upravlyaemogo signala [Fundamentals of Plasma Physics and Controlled Fusion]. Moscow, Fizmatlit, 2007. 424 p.
Mazmanishvili A.S., Reshetnyak N.G., Shovkoplyas O.A. Puchkowyi I sektornyii rezhymy electronnyh potokov v zylindricheskom magnitnom pole magnetronnoy pushki [Beam and sector modes of electron flows in a cylindrical magnetic field of a magnetron gun]. Journal of Nano- and Electronic Physics. 2020, vol. 12, no. 3, 03001 (5cc).
Mazmanishvili A.S., Reshetnyak N.G. Preobrazovanie massiva dannyh cylindricheskogo magnitnogo polya magnetronnoy pushki I zadacha radial’nogo dvizheniya elektronov [Transformation of the data array of the cylindrical magnetic field of the magnetron gun and the problem of the radial motion of electrons]. Applied Problems of Mathematical Modeling. 2020, vol. 3, no. 1, pp. 108–116.
Pirs Jh. P. Тeoriya i raschet elektronnykh potokov [Theory and calculation of electron currents]. Moscow, Sov. Radio, 1956. 254 p.
Alyamovskiy S. V. Elektronnye puchki i elektronnye pushki [Electron beams and electron guns]. Moscow, Sov. Radio, 1966. 454 p.
Vorogushin M. F., Glukhikh V. A., Manukyan G. Sh., Karpov D. A., Svin'in M. P., Ehngel'ko V. I., Yatsenko B. P. Beam and ion-plasma technologies. Problems of atomic science and technology. Series “Physics of radiation effects and radiation materials science”. 2002, no. 3, pp. 101–109.
Hemming R. V. Chyslennyie metody [Numerical methods]. Moskow, Nauka, 1972. 303 p.
How to Cite
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).