1963 | OriginalPaper | Buchkapitel
On the effect of thermal velozities in two-dimensional and axially symmetric beams
verfasst von : Peter T. Kirstein
Erschienen in: Microwaves
Verlag: Macmillan Education UK
Enthalten in: Professional Book Archive
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The estimation of thermal velocities in cathode ray tubes and travelling wave tubes has long been of great importance. Recently, devices have been proposed, such as ion propulsion devices, which have acceleration-deceleration systems; in these the consideration of thermal velocities, and the consideration of space-charge effects are often dif ficul t to treat independently. Pierce [1] has given a general treatment of the effects of thermal velocities. Cutl.er and Hines [2] have considered a specific case, round beams with a constant current density at the cathode, in a linear manner. Danielson [3] extended this linear treatment by considering the effect on a typical particle of the nonlinear fields which might be present and then assumed that the mean effects on any other particle will be the same as that on this typical particle.