Abstract
Summary form only given, as follows. The emerging field of vacuum microelectronics offers exciting possibilities in miniature coherent radiation sources, flat panel displays, and ultra-fast logic circuits. The crucial component is the electron emitter, which consists of an array of sharp tips from which electrons undergo field emission according to the Fowler-Nordheim (FN) relation. In this paper, we present a theoretical analysis of the beam emittance and of the beam brightness expected from a field emitter array. Scaling laws for these quantities are constructed that take into account the electric field enhancement factors that accompany the sharp tips, and they are derived in a manner consistent with the FN relation. These scaling laws can be used immediately once the following parameters are given: the width and height, as well as the packing density, of the field emitter array, the anode-cathode (A-K) spacing, the A-K voltage drop, and the FN coefficients A, and B. Results of the ongoing study of the thermal stability of field emitters are reported.
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