A STUDY OF SELF-ACTUATED TRANSIENTS IN HIGHPERVEANCE PLANAR ELECTRON TUBES
Abstract
An analytical study is made of certain behavior occurring in a short-circuited infinite planar diode when the velocity of convection current injected through one plane is adjusted to give, in turn, each of the two critical values of perveance possible. It is found that the higher critical perveance value leads to instability in the form of an oscillation whose frequency is two times the plasma frequency calculated on the basis of charge density at the entrance plane. That this is not just 'ringing' resulting from an initial transient impulse in a lossless system is demonstrated by reinitiating the problem routine with initial conditions corresponding to the alternate (and in past conjectures, stable) static solution. So long as perveance is unchanged, steady-state oscillation at this same frequency develops regardless of initial conditions of charge displacement and velocity within the space. An extension of this problem is presented, in which the effects of electrons returned to the gun region are acknowledged. Quantitative results are highly dependent upon the capture cross-section of the grid. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1960
- Accession Number
- AD0252239
Entities
People
- J.c. Twombly
- J.e. Lauer
Organizations
- University of Colorado Boulder