Variation of field enhancement factor near the emitter tip

5 years ago

Variation of field enhancement factor near the emitter tip

The field enhancement factor at the emitter tip and its variation in a close neighbourhood determines the emitter current in a Fowler–Nordheim like formulation. For an axially symmetric emitter with a smooth tip, it is shown that the variation can be accounted by a

\cos \tilde{θ}

factor in appropriately defined normalized co-ordinates. This is shown analytically for a hemiellipsoidal emitter and confirmed numerically for other emitter shapes with locally quadratic tips.

Publisher URL: www.sciencedirect.com/science

DOI: S0304399117302644

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