То the question of electron movement stability in the periodic electrostatic focusing
Keywords:
the stability of the motion of electrons, equation of motion, focusing field, electron bunchAbstract
In this paper the equation of edge electron movement in the periodic electrostatic field of type
V (х, г) ∙ А – В ∙ | cos mх| ∙ I0( mr)
and its numerical calculation on the computer UNIVAC 1107 are presented. It’s shown that the stable and unstable trajectories of electron movements exist, the presence of which depends on the choice of beam and focusing field parameters. Edge electron movement trajectories in a periodic system of disk electrodes of different thickness are given for comparison. They have unstable character in the case of large currents.
References
Huizenga W., SchnurmanW. The Current Transmission of a Periodic Electrostatic Lens System, Plasma Physics, Journal of Nuclear Energy, Part C, 1964, vol. 6, 493-504.
Siekanowicz W. W. Derivation of Ideal Electrode Shapes for Electrostatic Beam Focusing, RCA Rev., 1962, 23, 1, 47-59.
Hechte1 J. R. Electrostatic Focusing of Microwave Tubes, Microwave J, 1960, 3, 41; 1960, 3, 81.
Коцержинский Б. А. К вопросу периодической электростатической фокусировки интенсивных электронных пучков. – «Радиотехника и электроника», 1965, X, 8, 1549-1551.
