Correction of the Theory of Researching the Properties of Charged Particles Sources

Ibrayev, A.T.

doi:10.32014/20201.2518-1726.65

Cited by 1 publication

(4 citation statements)

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“…In these works, there is an important idea of taking into consideration the fact that when the time of flight of charged particles is equal, in addition to transverse spatial aberrations, there are also longitudinal aberrations. However, as indicated in [11,12], mathematical transformations in earlier works do not always fully reflect physical processes. For example, in the works [7][8][9], in the equations of the trajectories of charged particles, the decomposition in a series of small parameters for the analysis of the aberration characteristics of cathode lenses is carried out by analogy with the theory of electronic mirrors, which was developed a little earlier.…”

Section: Introductionmentioning

confidence: 99%

“…Due to the fact that small parameters are associated with initial conditions, it was necessary to clarify the differences between the conditions of motion of charged particles in the area of their extraction in cathode lenses and in the area of reflection of charged particles in electronic mirrors. In the works [11,12], the features and differences of cathode lenses from other types of electronic lenses are taken into account in sufficient detail.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…In [12], the author of this work proposed a method for correcting the theory of studying the properties of cathode lenses. As known, in article [12], a cathode lens with rotational symmetry was considered. In practice, it is necessary to use and design lens systems with other symmetries of focusing fields as well.…”

Section: Introductionmentioning

confidence: 99%

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Correction of the Mathematical Method for Studying a Cathode Lens with Two Planes of Symmetry

Ibrayev¹

2023

Symmetry

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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.

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