English

Variation of field enhancement factor near the emitter tip

Applied Physics 2018-01-30 v1

Abstract

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 cosθ~\cos{\tilde{\theta}} factor in appropriately defined normalized co-ordinates. This is shown analytically for a hemi-ellipsoidal emitter and confirmed numerically for other emitter shapes with locally quadratic tips.

Keywords

Cite

@article{arxiv.1705.06867,
  title  = {Variation of field enhancement factor near the emitter tip},
  author = {Debabrata Biswas and Gaurav Singh and Shreya G. Sarkar and Raghwendra Kumar},
  journal= {arXiv preprint arXiv:1705.06867},
  year   = {2018}
}

Comments

5 pages, 6 figures