Correction of the Mathematical Method for Studying a Cathode Lens with Two Planes of Symmetry
Ibrayev A.T.
July 2023Multidisciplinary Digital Publishing Institute (MDPI)
Symmetry
2023#15Issue 7
The article is devoted to the theoretical problems of studying cathode lenses with two planes of symmetry. It is noted that the classical methods of studying conventional electron lenses are unsuitable for a detailed study of the focusing properties of cathode lenses because these methods do not take into account the specificity of the initial conditions of cathode lenses. For a cathode lens, it is inaccurate to assume that the trajectories of charged particles throughout have a small inclination to the main optical axis. In addition, in single and immersion lenses, the condition of the smallness of the spread of charged particle energies with respect to the values of the axial potential is satisfied throughout, while in the cathode lens, this condition is not satisfied in the cathode region. The method proposed in the article is based on the study of the parameters of the trajectory of an arbitrary particle in a beam of charged particles relative to the parameters of the trajectory of an axial particle with zero initial energy, the trajectory of which is chosen as a scalar motion. The results obtained in the article will expand the scope of the application of cathode lenses with two planes of symmetry.
aberration , beam , charged particle , crossover
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Kazakhstan University of Innovation and Telecommunication Systems
Kazakhstan Academy of Information and Business
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