We have corrected the field enhancement factor for the “floating sphere at emitter-plane potential” model with the finite anode-cathode distance. If is the radius of sphere, is the distance from cathode to the center of sphere, and is the distance from the center to the anode, then the field enhancement factor is given as the following expression , where , . This expression demonstrates reasonable behavior for three limiting cases: if , if , and if . We have compared our factor with the field enhancement factor for the “hemisphere on a post” model and the factor for the “hemiellipsoid on plane” model. We have shown realization of the approximate evaluation .
Corrected field enhancement factor for the floating sphere model of carbon nanotube emitter
Evgeny G. Pogorelov, Yia-Chung Chang, Alexander I. Zhbanov, Yong-Gu Lee; Corrected field enhancement factor for the floating sphere model of carbon nanotube emitter. J. Appl. Phys. 15 August 2010; 108 (4): 044502. https://doi.org/10.1063/1.3466992
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