ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Eliseev M. V., Isaeva O. B., Rozhnev A. G., Ryskin N. M. Simulation of field emission from fractal surface. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 5, pp. 33-43. DOI: 10.18500/0869-6632-1999-7-5-33-43

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
537.533
DOI: 
10.18500/0869-6632-1999-7-5-33-43

Simulation of field emission from fractal surface

Autors: 
Eliseev Maksim Valerevich, Saratov State University
Isaeva Olga Borisovna, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Rozhnev Andrej Georgievich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Ryskin Nikita Mikhailovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

Results of numerical simulation of electron field emission from the surface of 2-D fractal object bounded by Julia set are presented. The calculations show that emission occurs mainly from small sites of the surface close to self—similar small-scale irregularities, where the electrostatic field is ampiified greatly. Submitted results confirm hypothesis, that unusual field—emission properties of some materials could be explained by taking into account the fractal structure of its surface. The influence of ihe fractal dimension on the emission has been cleared. It turned out that emission current depends mainly on the geomeiry of small-scale irregularitics. Nevertheless, the fractal dimension defines the slope of current—voltage characteristics.

Key words: 
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Acknowledgments: 
The authors are grateful to D.I. Trubetskov and Y.A. Danilov for discussion of the results. The work was supported by the RFBR (grant № 97-02-16546) and ФНЦП «Integration».
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Received: 
17.09.1999
Accepted: 
01.11.1999
Published: 
01.12.1999
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