A method for applying the Fowler-Nordheim (FN) relationship to analyze data
pertaining to field emission (FE) devices is outlined. The emission curren
t is obtained through integration of the FN current density over the emitte
r area, taking into account the local value of the electric field. The slop
e and intercept of the FN plots are used to plot the slope versus the inter
cept diagram. with emitter work function Phi and radius R as parameters. Ea
ch experimental current-voltage data set is represented in this diagram as
a point inside the lattice of equi-Phi and equi-R lines, facilitating deriv
ation of the actual Phi and R values. An analytical FE diode model and a nu
merical FE microtriode model are used to exemplify this approach. The metho
d can be used as a convenient graphical tool to analyze the experimental re
sults of FE.