Kl. Jensen et al., ANALYTICAL AND SEMINUMERICAL MODELS FOR GATED FIELD EMITTER ARRAYS .1. THEORY, Journal of vacuum science & technology. B, Microelectronics and nanometer structures processing, measurement and phenomena, 14(3), 1996, pp. 1942-1946
A simple analytic approach for gated field emission array unit cell mo
deling, the ''Saturn'' model, has been developed and serves to show ho
w those parameters which most affect inductive output amplifier perfor
mance are dependent on the material and geometry of the unit cell. The
Saturn model replaces the field emission tip with a sphere and the ga
te with a charged ring. A relation then exists between the gate radius
, the gate voltage, the sphere radius, the field, and its angular vari
ation on the sphere, from which the total emitted current may be given
analytically, and from which the geometric and material dependence of
those quantities which most affect amplifier performance (Fowler Nord
heim A and B parameters, tip field, capacitance, and field enhancement
factor) can be qualitatively determined. The qualitative predictions
of this model may be made quantitative (the ''seminumerical model'') b
y the inclusion of a subset of parameters normally provided in a full
boundary element numerical simulation which accounts for how the field
varies along the surface of the emitter. The manner in which a statis
tical distribution of tip radii affects the least-squares estimate of
the A and B parameters is shown.