Метод получения эффективных параметров полевых катодов c применением многопараметрических уравнений полевой эмиссии высокой точности

Anatoly G. Kolosko; Eugeni O. Popov; Sergei V. Filippov

doi:10.21638/spbu10.2025.104

Authors

Anatoly G. Kolosko Ioffe Institute, 26, Politekhnicheskaya ul., St. Petersburg, 194021, Russian Federation https://orcid.org/0000-0002-6073-6808
Eugeni O. Popov Ioffe Institute, 26, Politekhnicheskaya ul., St. Petersburg, 194021, Russian Federation https://orcid.org/0000-0003-2226-6304
Sergei V. Filippov Ioffe Institute, 26, Politekhnicheskaya ul., St. Petersburg, 194021, Russian Federation https://orcid.org/0000-0001-5325-2226

DOI:

https://doi.org/10.21638/spbu10.2025.104

Abstract

The paper presents a numerical method for estimation the effective parameters of field cathodes from their current-voltage characteristics using a high-precision multiparameter field emission equation, which includes the expansion of the special functions τ and ν to the sixth term, as well as the functional dependence of the emission area on the field. The method was demonstrated by the example of a nanocomposite cathode made of carbon nanotubes in a polymer matrix, as well as by the example of an emitter modeled in COMSOL. A comparison is made with other methods of analyzing current-voltage characteristics, such as FN-plot, MG-plot and KP-plot.

Keywords:

method of processing current-voltage characteristics, FN-plot, effective field enhancement factor, effective radius of curvature, high precision field emission equation, nanocomposite with carbon nanotubes

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References

Литература

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Popov E. O., Kolosko A. G., Filippov S. V., Terukov E. I., Ryazanov R. M., Kitsyuk E. P. Comparison of macroscopic and microscopic emission characteristics of large area field emitters based on carbon nanotubes and graphene // Journal of Vacuum Science Technology B. 2020. Vol. 38. N 4. P. 043203-1–043203-10. https://doi.org/10.1116/6.0000072

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References

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Popov E. O., Kolosko A. G., Filippov S. V. A test for compliance with the cold field emission regime using the Elinson — Schrednik and Forbes — Deane approximations (Murphy — Good Plot). Technical Physics Letters, 2020, vol. 46, pp. 838–842. https://doi.org/10.1134/S1063785020090096

Liu H., Kato S., Saito Y. Empirical expression for the emission site density of nanotube film emitters. Journal of Vacuum Science Technology B, 2009, vol. 27, pp. 2435-1–2435-6. https://doi.org/10.1088/0957-4484/20/27/275206

Elinson M. I. Nenakalivaemye katody [ Field emission cathodes]. Moscow, Sov. Radio Publ., 1974, 336 p. (In Russian)

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Forbes R. G. Use of Millikan — Lauritsen plots, rather than Fowler — Nordheim plots, to analyze field emission current-voltage data. Journal of Appl. Physics, 2009, vol. 105, no. 11, pp. 114313-1–114313-8. https://doi.org/10.1063/1.3140602

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Popov E. O., Filippov S. V., Kolosko A. G. Processing of experimental current-voltage characteristics of single tip emitters taking into account the functional dependence of the emission area on the applied voltage. Journal of Vacuum Science Technology B, 2023, vol. 41, no. 1, pp. 012801-1–012801-7. https://doi.org/10.1116/6.0002305

Forbes R. G., Popov E. O., Kolosko A. G., Filippov S. V. The pre-exponential voltage-exponent as a sensitive test parameter for field emission theories. R. Soc. Open Sci., 2021, vol. 8, no. 3, pp. 201986-1–201986-19. https://doi.org/10.1098/rsos.201986

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Popov E. O., Kolosko A. G., Filippov S. V., Terukov E. I., Ryazanov R. M., Kitsyuk E. P. Comparison of macroscopic and microscopic emission characteristics of large area field emitters based on carbon nanotubes and graphene. Journal of Vacuum Science Technology B, 2020, vol. 38, no. 4. pp. 043203-1–043203-10. https://doi.org/10.1116/6.0000072

Gao R., Pan Z., Wang Z. Work function at the tips of multiwalled carbon nanotubes. Appl. Physics Letters, 2001, vol. 78, pp. 1757–1759. https://doi.org/10.1063/1.1356442

Popov E. O., Kolos'ko A. G., Chumak M. A., Filippov S. V. Desiat' sposobov opredeleniia ploshchadi polevoi emissii [Ten Approaches to Define the Field Emission Area]. Zhurnal tekhnicheskoi fiziki [ Technical Physics], 2019, vol. 89, no. 10, pp. 1615–1625. https://doi.org/10.21883/JTF.2019.10.48182.2624 (In Russian)