Abstract
The paper considers an approach to the construction and study of the emission (volt-ampere) characteristics of a system with a field electron cathode by regression analysis methods. A three-parameter model of the field electron emission signal is proposed. Estimates of the parameters of the current dependence on voltage are obtained in the framework of mathematical modeling. Estimation is carried out using a quadratic functional for linear and nonlinear models. Model selection should be determined by the analysis of so-called “regression residuals”, which are influenced by measurement errors. The validity of the application of both the linear and weighted nonlinear least-squares methods is shown as a result of mathematical modeling.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
N. V. Egorov and E. P. Sheshin, J. Surf. Invest.: X-ray, Synchrotron Neutron Tech. 11 (2), 285 (2017).
N. V. Egorov and E. P. Sheshin, Auto-Electronic Emission. Principles and Instruments (Intellekt, Dolgoprudnyi, 2011) [in Russian].
R. H. Fowler and L. W. Nordheim, Proc. R. Soc. A 119 (781), 173 (1928).
G. G. Sominskii, et al., Izv. Vyssh. Uchebn. Zaved., Radiofiz. 58 (7), 567 (2016).
D. A. Shiffler, et al., J. Appl. Phys. 118, 083302 (2015).
A. Yu. Antonov, M. I. Varayun’, I. M. Gribkova, and E. Yu. Pigul’, in Proc. Int. Conference “Stability and Control Processes” in Memory of V. I. Zubov (SCP 2015) (St. Petersburg, 2015), p. 144.
N. V. Egorov and A. A. Almazov, Vacuum 52, 295 (1999).
M. I. Varayun’ and V. A. Klemeshev, in Proc. 10th Int. Vacuum Electron Sources Conference (IVESC 2014) (St. Petersburg, 2014), p. 1.
J. He, P. H. Cutler, and N. M. Miskovsky, Appl. Phys. Lett. 59 (13), 1644 (1991).
N. V. Egorov, et al., Tech. Phys. 54 (6), 916 (2009).
N. V. Egorov, L. I. Antonova, and A. Yu. Antonov, J. Surf. Invest.: X-ray, Synchrotron Neutron Tech. 6 (6), 906 (2012).
V. A. Golubkov, V. A. Ilyin, M. A. Kuznetsova, and A. V. Serkov, in Proc. IEEE North West Russia Section Young Researchers in Electrical and Electronic Engineer-ing Conference (EIConRusNW 2016) (St. Petersburg, 2016), p. 45.
R. G. Forbes, J. H. B. Deane, A. Fischer, and M. S. Mousa, Jordan J. Phys. 8 (6), 125 (2015).
V. S. Fomenko, Emission Properties of Materials. Handbook (Naukova Dumka, Kiev, 1981) [in Russian].
J. Paulini, T. Klein, and G. Simon, J. Phys. D: Appl. Phys. 26, 1310 (1993).
E. Z. Demidenko, Linear and Nonlinear Regressions (Finansy i Statistika, Moscow, 1981) [in Russian].
N. R. Draper and H. Smith, Applied Regression Analysis (John Wiley and Sons, New York, 1981).
E. P. Sheshin, Surface Structure and Auto-Emission Properties of Carbon Materials (Moscow Institute of Physics and Technology, Fizmatkniga, Moscow, 2001) [in Russian].
A. Yu. Antonov and M. I. Varayun’, in Proc. 14th Int. Baltic Conference on Atomic Layer Deposition (BALD 2016) (St. Petersburg, 2016), p. 41.
M. Matsumoto and T. Nishimura, ACM Trans. Model. Comput. Simul. 8 (1), 3 (1998).
E. E. Lifantova, M. I. Varayun’, and A. Yu. Antonov, in Proc. 2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR 2016) (St. Petersburg, 2016).
W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes. The Art of Scientific Computing (Cambridge Univ. Press, Cambridge, 2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © N.V. Egorov, A.Yu. Antonov, M.I. Varayun’, 2018, published in Poverkhnost’, 2018, No. 10, pp. 72–79.
Rights and permissions
About this article
Cite this article
Egorov, N.V., Antonov, A.Y. & Varayun’, M.I. Analysis of the Emission Characteristics of Field Cathodes Using Regression Models. J. Surf. Investig. 12, 1005–1012 (2018). https://doi.org/10.1134/S1027451018050245
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1027451018050245