Die Raumladegleichung f�r Elektronen mit Anfangsgeschwindigkeit. II. Teil

Kleen, W.; Rothe, Heinz J.

doi:10.1007/bf01331066

Cited by 16 publications

(1 citation statement)

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“…Then Schottky 13 first built the theory for the SCL with Maxwellian distributed initial velocities. Then the SCL with uniform initial velocities was presented by Gill, 14 Kleen and Rothe, 15 Fay, Samuel, and Shockley, 16 Salzberg and Haeff, 17 Jaffe, 18 Akimov et al, 19 and Akimov and Schamel 20 further extended the SCL with uniform initial velocities to include collisions.…”

Section: Introductionmentioning

confidence: 97%

Consistent solution for space-charge-limited current in the relativistic regime for monoenergetic initial velocities

Feng

Verboncoeur

2008

Physics of Plasmas

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The solution for space-charge-limited (SCL) currents in electron vacuum diodes with monoenergetic initial velocity is extended to the relativistic regime. Two types of solutions are found: Type I corresponds to zero steady state surface electric field (field emission with high enhancement factor), and Type II corresponds to a finite steady state surface electric field (other emission mechanisms). Our solution compares well to the classical space-charge-limited currents with initial energy and relativistic space-charge limited currents without initial energy in the appropriate limits. The scaling law between the true SCL and the applied voltage is discussed and the two solution types are verified by particle-in-cell simulation.

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