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

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
PDF icon 1999no5p033.pdf
(downloads: 0)
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: 
-
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».
Reference: 
  1. Trubetskov DI, Rozhnev AG, Sokolov DV. Lectures on ultra-high-frequency vacuum microelectronics. Saratov: College; 1996. 238 p.
  2. Geis ММ, Twichell JC, Bozler CO. Diamond field—emission cathodes. In: VI Int. Vac. Microelectronics Conf. Tech. Digest. Newport, Rhode Island. 1993. P. 160.
  3. Gulyaev YuV, Sinitsyn NI, Torgashov GV, Mevlyut ShT, Zhbanov AI, Zakharchenko YuF, Kosakovskaya ZYa, Chernozatonskii LA, Glukhova OE, Torgashov IG. Work function estimate for electrons emitted from nanotube carbon cluster films. J. Vac. Sci. Technol. В. 1997;15(2):422-424. DOI: 10.1116/1.589329.
  4. Wilshaw RP, Boswell EC. Field emission from pyramidal cathodes covered in porous silicon. J. Vас. Sci. Technol. В. 1994;12(2):662-665. DOI: 10.1116/1.587408.
  5. Jung JH, Ja ВК, Lee YH, Jang J, Оh MH. Enhancement оf electron emission efficiency аnd stability оf molibdenum—tip field emitter array by diamond-like carbon coating. IEEE Electron Device Lett. 1997;18(5):197-199. DOI: 10.1109/55.568760.
  6. Feder J. Fractals. N.Y.: Springer; 1988. 284 p. DOI: 10.1007/978-1-4899-2124-6.
  7. Habermann T, Gohl А, Miiller G, et al. Uniform field—emission from polycrystalline CVD-diamond films. In: IX Int. Vac. Microelectronics Conf. Tech. Digest. St.— Petersburg, Russia, 1996. P. 258.
  8. Spindt CA, Brodie I, Humphrey L, Westerberg ER. Physical properties оf thin—film field emission cathodes with molybdenium cones. J. Аррl. Phys. 1976;47(12):5248-5263. DOI: 10.1063/1.322600.
  9. Ryskin NM, Rozhnev AG, Trubetskov DI. Theoretical study оf field emission from non—uniform emitters. In: Technical Digest оf IVMC’97. Kyongju, Коreа, 1997. Р. 310.
  10. Solntsev VA. Nonlinear phenomena in vacuum microelectronic structures. Izvestiya VUZ. Applied Nonlinear Dynamics. 1998;6(1):54-74. (in Russian).
  11. Grigoriev YuA, Petrosyan AI, Penzyakov VV, Pimenov VG, Rogovin VI, Shesterkin VI, Kudryashov VP, Semyonov VC. Experimental study оf matrix carbon field—emission cathodes and computer aided desing of electron guns for microwave power devices, exploring these cathodes. J. Vac. Sci. Technol. В. 1997;15(2):503-506. DOI: 10.1116/1.589609.
  12. Peitgen H-O, Richter PH. The Beauty of Fractals. Images of Complex Dynamic Systems. Berlin: Springer; 1986. 199 p.
  13. Peitgen Н-О, Jurgens H, Saup D. Chaos аnd Fractals: New Frontiers оf Science. N.Y.: Springer; 1992. 984 p.
  14. Widom M, Bensimon D, Kadamoff L, Shenker S. Strange objects in the complex plane. J. Stat. Phys. 1983;32:443-454. DOI: 10.1007/BF01008949.
Received: 
17.09.1999
Accepted: 
01.11.1999
Published: 
01.12.1999
  • 104 reads