A general electron emission equation is developed to account for both tunneling and thermal emission for general potentials, particularly when both processes are non-negligible. It is then applied to the image charge potential that is the basis for the Fowler-Nordheim (FN) [Proc. R. Soc. London A119, 173 (1928)] and the Richardson-Laue-Dushman (RLD) equations of electron emission [Proc. R. Soc. London A107, 377 (1925)]. The leading order terms in a series expansion are used to derive a "refined" FN-RLD equation that extends the range of validity of the FN and RLD equations for parameters where the traditional forms either fail or perform poorly.
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机译：提出了一个通用的电子发射方程，以考虑隧道效应和热发射对通用电位的影响，特别是当两个过程都不可忽略时。然后将其应用于作为Fowler-Nordheim（FN）[Proc。 R. Soc。 London A119，173（1928）]和电子发射的Richardson-Laue-Dushman（RLD）方程[Proc。 R. Soc。伦敦A107，377（1925）]。序列展开式中的前导项用于导出“精炼” FN-RLD方程，该方程扩展了FN和RLD方程对于传统形式失败或性能较差的参数的有效范围。
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