Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The anode proximity effect for generic smooth field emitters   The proximity of the anode to a curved field electron emitter alters the
electric field at the apex and its neighbourhood. A formula for the apex field
enhancement factor, $\gamma_a(D)$, for generic smooth emitters is derived using
the line charge model when the anode is at a distance $D$ from the cathode
plane. The resulting approximately modular form is such that the anode
proximity contribution can be calculated separately (using geometric quantities
such as the anode-cathode distance $D$, the emitter height $h$ and the emitter
apex radius of curvature $R_a$) and plugged into the expression for
$\gamma_a(\infty)$. It is also shown that the variation of the enhancement
factor on the surface of the emitter close to the apex is unaffected by the
presence of the anode and continues to obey the generalized cosine law. These
results are verified numerically for various generic emitter shapes using
COMSOL Multiphysics. Finally, the theory is applied to explain experimental
observations on the scaling behavior of the $I-V$ field emission curve.

27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th