Journal
PHYSICAL REVIEW LETTERS
Volume 87, Issue 14, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.87.145002
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There is, at present, no analytic solution that extends Child-Langmuir space-charge-limited emission beyond ID. Herein, we investigate the characteristics of planar diode electron emission in 2D space with the emphasis on the transition region between the beam and vacuum. Current density above that predicted by Child-Langmuir is observed near the beam edges in a 2D finite element, electrostatic ray-tracing code. The properties of these increased current density wings are examined and then discussed in terms of their applications to cathodes which have large reservoirs of free electrons.
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