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Fowler-Nordheim theory for a spherical emitting surface

机译:球形发射表面的Fowler-Nordheim理论

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摘要

The standard theory of cold field emission from a plane surface was found to over-estimate the apex radius of a well-characterised tip by a factor of 2.6 . This theory has been modified to use the potential distribution near an apex whose surface forms a spherical cap. The modified theory predicts a range of values for the apex radius, in which the best estimate is within 20 % of the measured value. The effective solid angle is found to vary approximately as (applied field)~(0.73).
机译:发现从平面发射冷场的标准理论高估了特征明确的尖端的顶角半径为2.6倍。对该理论进行了修改,以使用其表面形成球形帽的顶点附近的电位分布。修改后的理论可预测顶点半径的值范围,其中最佳估计值应在测量值的20%以内。发现有效立体角大约变化为(施加场)〜(0.73)。

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