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A systematic study of resulting macroscopic behavior of a diode fed by a nanosecond voltage pulse has been made by Parker r f nl. (1974). Formation of plasma at the cathode surface leads to a transition of current flow from field-emission-dominated to space-charge-limited. For planar diodes, the relativistically correct Child-Langmuir law can be written in integral form as l1 1+eVlmez dJl/(@ - 1)1‘4 = d (2eZ/~,,mc~A)~’~ (29) where A is the cathode area, d the gap, V the voltage, and I the current.