Experimental study of matrix carbon field-emission cathodes and computer aided design of electron guns for microwave power devices, exploring these cathodes

Grigoriev, Yu.A.

doi:10.1116/1.589609

Cited by 12 publications

(1 citation statement)

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“…Such solutions are of great relevance to a large number of current problems that require knowledge of the local electric field in the vicinity of conducting or semiconducting tips with small protrusions subjected to large potential differences. Examples of practical situations in which such conditions are found include the mounting of many devices such as microwave power amplifying tubes, field emission displays and several kinds of metal or semiconductor emitters, with nanometer size tips [1][2][3][4][5]. With respect to the latter, experiments show that electron emission by materials is extremely localized, confined to regions with irregularities in a nanometric scale, that display some kind of self-similar property in this particular scale [6].…”

Section: Introductionmentioning

confidence: 99%

Field and electric potential of conductors with fractal geometry

Assis¹,

Mota²,

Miranda³

et al. 2007

J. Phys.: Condens. Matter

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In this study, the behavior of the electric field and its potential are investigated in a region bounded by a rough fractal surface and a distant plane. Both boundaries, maintained at distinct potential values, are assumed to be conductors and, as such, the electric potential is obtained by numerically solving Laplace's equation subject to the appropriate Dirichlet's condition. The rough boundaries, generated by the ballistic deposition and fractal Brownian motion methods, are characterized by the values of the surface roughness W and the local fractal dimension d f = 3 − α, where α is the usual roughness exponent. The equipotential surfaces, obtained from Laplace's equation, are characterized by these same parameters. Results presented show how d f depends on the potential value, on the method used to generate the boundary and on W . The behavior of the electric field with respect to the equipotential surface is also considered. Its average intensity was found to increase as a function of the average distance from the equipotential to the fractal boundary; however, its intensity reaches a maximum before decreasing towards an asymptotic constant value, an effect that increases as the value of W increases.

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