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Extension of Langmuir space-charge theory into the accelerating field range

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Journal of Applied Physics, 52 (7): 4406-4410 (1981)
DOI: 10.1063/1.329367

Аннотация

The paper takes the space-charge theory developed by Langmuir and applies it to the accelerating-field range along with the image-potential theory suggested by Schottky. The combined theory produces a current-voltage curve which begins at the zero-field current and voltage calculated from space-charge theory, and then gradually approaches the curve generated by Schottky theory. The paper summarizes in a single equation the solution procedure outlined by Langmuir. Based on this equation, the paper discusses the behavior of the current-voltage curve at the transition points from the exponential range into the space-charge range and from the space-charge range into the accelerating field range.

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