IMPEDANCE BOUNDARY CONDITION OF NON-UNIFORM ELECTROMAGNETIC FIELD PENETRATION INTO CONDUCTING HALF-SPACE

Yu.M.  Vasetsky

doi:10.15407/techned2022.04.003

No. 4 (2022), Theoretical Electrical Engineering and Electrophysics

No. 4 (2022)

Theoretical Electrical Engineering and Electrophysics

IMPEDANCE BOUNDARY CONDITION OF NON-UNIFORM ELECTROMAGNETIC FIELD PENETRATION INTO CONDUCTING HALF-SPACE

Published 2022-07-05

https://doi.org/10.15407/techned2022.04.003

Yu.M. Vasetsky⁺⁻

Yu.M. Vasetsky

Institute of Electrodynamics National Academy of Science of Ukraine, pr. Peremohy, 56, Kyiv, 03057, Ukraine

https://orcid.org/0000-0002-4738-9872

ARTICLE_1_PDF

Keywords

three-dimensional electromagnetic field
strong skin effect
impedance boundary condition тривимірне електромагнітне поле
сильний скін-ефект
імпедансна гранична умова

How to Cite

[1]

Vasetsky, Y. 2022. IMPEDANCE BOUNDARY CONDITION OF NON-UNIFORM ELECTROMAGNETIC FIELD PENETRATION INTO CONDUCTING HALF-SPACE. Tekhnichna Elektrodynamika. 2022, 4 (Jul. 2022), 003. DOI:https://doi.org/10.15407/techned2022.04.003.

Abstract

The influence of the non-uniformity of the external field to its distribution on the surface of the conducting half-space is investigated on the basis of exact analytical and approximate asymptotic calculation methods of an arbitrary three-dimensional electromagnetic field. The function that generalizes the impedance boundary condition for diffusion of non-uniform field into conducting body is proposed. On the basis of calculations results comparison by exact and approximate methods for concrete model of electromagnetic system the admissible value of the upper limit of the introduced small parameter is established. References 10, figures 5.

https://doi.org/10.15407/techned2022.04.003

ARTICLE_1_PDF

References

Simonyi K. Foundation of electrical engineering. Elsevier Ltd, 1963. 865 p. DOI: https://doi.org/10.1016/C2013-0-02694-1.

Polivanov K.M. Theoretical bases of electrical engineers. Vol. 3. Theory of Electromagnetic Field. Moskva-Leningrad: Energiia, 1965. 352 p. (Rus)

Yuferev S., Ida N. Surface Impedance Boundary Conditions: A Comprehensive Approach. CRC Press, 2018. 412 p. DOI: https://doi.org/10.1201/9781315219929.

Kravchenko A.N. Boundary Characteristics in Electrodynamics Problems. Kyiv: Naukova Dumka, 1989. 218 p. (Rus).

Landau L.D., Lifshitz E.M. Electrodynamics of Continuous Media. Elsevier Ltd, 1984. 475 p. DOI: https://doi.org/10.1016/B978-0-08-030275-1.50024-2. (Rus).

Leontovich M.A. On the Approximate Boundary Conditions for Electromagnetic Field on the Surface of Highly Conducting Bodies. Issledovaniia po pasprostraneniu radiovoln. Moskva: Izdanie AN SSSR, 1948. Pp. 5-20. (Rus).

Rytov S.M., Calculation of skin effect by perturbation method. Zhurnal eksperimentalnoi i teoreticheskoi fiziki. 1940. Vol. 10. Issue 2. Pp. 180-190. (Rus).

Vasetsky Yu.M. Three-dimensional quasi-stationary electromagnetic field of the current near conducting body. Kyiv: Pro Format, 2019. 212 p. (Rus).

Berdnik S.L., Penkin D.Y., Katrich V.A., Penkin Yu.M., Nesterenko M.V. Using the concept of surface impedance in problems of electrodynamics (75 years later). Radiofizika i radioastronomiia. 2014. Vol. 19. No 1. Pp. 57-80. DOI: https://doi.org/10.15407/rpra19.01.057.

Vasetsky Yu.M. Exact analytical and approximate asymptotic calculation methods to determine three-dimensional electromagnetic field near conducting body with flat surface. Tekhnichna elektrodynamika. 2021. No 4. Pp. 3-13. DOI: https://doi.org/10.15407/techned2021.04.003.