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Summary form only given. The Child-Langmuir law gives the maximum electron current, known as the space-charge-limited current, arises because the space charge in the diode presents a potential barrier to the incident electrons. While there are modifications due to geometrical and relativistic effects, the limited current remains a fundamental quantity characterizing the beam-gap interaction. In the...
Summary form only given. Thermionic emission cathodes are widely used in microwave tubes. In the temperature limited (TL) region, the Richardson-Dushman equation, corrected for the Schottky effect applies. In the fully space charge limited (FSCL) region, the Child-Langmuir law applies. There were many empirical models proposed for fitting the I-V characteristics of thermionic emission cathodes. The...
The Child-Langmuir law gives the maximum electron current, known as the space-charge- limited current. In a previous work of Lau et ah, they extended the classical work of Child and Langmuir to the quantum regime by using the Wentzel-Kramers-Brillouin-Jefferys method. Here, we quantitatively investigate the space-charge-limited current in quantum regime by solving the Schrodinger-Poisson equation...
We study the space charge effects on thermionic emission via a self-consistent approach. The Richardson-Dushman equation, corrected for the Schottky effect and the Poisson's equation including relativistic effects are solved iteratively. The knee of the transition curve from TL to FSCL operation is obtained self-consistently
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