No abstract

No abstract

The beam transmission in high-power linear-beam microwave tubes is defined in the significant measure by presence of the transversal thermal electron velocities. That is because electron guns of those devices have low-beam perveance and very high beam-convergence. That influence is not taken into account in well-known calculation methods based on zero cathode electron velocity beam models. Therefore these caIculations do not give reliable information on "thermal" beam and possible ways of suppression of electron "thermal" moving effects. As it is imagined the calculation method [l] based on unification of the appoaches, which are used by the electron-optical system @OS) synthesis of the laminated beams [2] and by the mathematical analysis of the characteristics of the nonlaminated beams with Maxwell initial electron velocities distribution [3], is more correct. The equations of internal and external problems (tasks) of the syntheses theory EOS, which differ from the known ones [2]by member 1 -exp(-P(x)) defining the disturbance "thermal" beam, were obtained by using this approach. The equation of internal task in the orthogonal curvilinear coordinate system is:where P(x) = x is the standardized longitudinal curvilinear coordinate, p(x) is the function describing the trajectory of the real "thermal" beam electron, which is leaving the catode edge with zero velocity, U(x),n(x) are axial distributions of the potential ( U(.) in the anode tension units U, ) and of the magnetic-field ( n(x) is in the Brillouin's field units ) for laminated beam radius r0 = poQ0 , i = 0, 0605, , qI is the microperveance, ,u = 2 , CD, , I are the standardized values of the transversal and longitudinal dimensions, which are pick out usually so that z = 0.4 [2] , no is the exceeding of the magnitic-focusing field over Brilluen's field, P P a) P

No abstract

No abstract