Quantum extension of Child-Langmuir law

Yue Ying Lau; David P. Chernin; Denis G. Colombant; Ping-Tong Ho

doi:10.1117/12.43538

1 April 1991 Quantum extension of Child-Langmuir law

Yue Ying Lau, David P. Chernin, Denis G. Colombant, Ping-Tong Ho

Proceedings Volume 1407, Intense Microwave and Particle Beams II; (1991) https://doi.org/10.1117/12.43538
Event: Optics, Electro-Optics, and Laser Applications in Science and Engineering, 1991, Los Angeles, CA, United States

Abstract

1407_69Using a simple mean field model of the electron-electron interaction, study has been done of the effect of space charge in a planar diode. Results show, in particular, that the classical value for the limiting current in such a diode can be exceeded by a large factor due to the effect of tunneling. The smooth transition of the solutions from the quantum to the classical (non-quantum) regime is demonstrated.

Citation Download Citation

Yue Ying Lau, David P. Chernin, Denis G. Colombant, and Ping-Tong Ho "Quantum extension of Child-Langmuir law", Proc. SPIE 1407, Intense Microwave and Particle Beams II, (1 April 1991); https://doi.org/10.1117/12.43538

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