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Diode Space Charge for Any Initial Velocity and Current
Phys. Rev. 76, 381 – Published 1 August, 1949
DOI: https://doi.org/10.1103/PhysRev.76.381
Abstract
The space charge equation is solved for any initial velocity which is the same for all electrons and for any realizable current, for (a) the plane diode, (b) the cylindrical diode. For the plane diode it is shown that all cases can be obtained from a single pair of master curves. For the cylindrical diode a series valid for large distances from the axis is obtained first, the form of which shows that the complete group of solutions form a bounded set. Next three solutions valid for small distances from the axis are obtained by means of which the first set of solutions can be extended. In addition to master curves representing these solutions, curves are plotted for special values of the initial velocity and current.
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