Abstract
The averaging method is used for calculation of the reflection and transmission coefficients of a 1D longitudinal electromagnetic wave and a 1D transverse electromagnetic wave that are incident along the normal onto a plane-parallel plate. The averaged electrodynamic boundary conditions are derived for an arbitrary conductivity of the plate. It is demonstrated that the averaging method enables one to simplify the calculations and resulting expressions owing to a decrease in the order of the system of equations and elimination of trigonometric functions. The error of this method is several percent for planes with thicknesses up to 0.35 of the wavelength in the medium.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
O. D. Khvol’son, Course of Physics (Gosizdat RSFSR, Berlin, 1923), Vol. 2 [in Russian].
G. S. Landsberg, Optics (Nauka, Moscow, 1976) [in Russian].
M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1969; Nauka, Moscow, 1970).
L. M. Brekhovskikh, Waves in Layered Media (Nauka, Moscow, 1973; Academic, New York, 1980).
R. W. Pohl, Einführung in die Optik (Springer-Verlag, Berlin, 1943; Gostekhteorizdat, Moscow, 1947).
A. E. Kaplan, Radiotekh. Elektron. (Moscow) 11, 1781 (1964).
R. Hasegava, Phys. Rev. Lett. 28, 1376 (1972).
A. R. Melnyk and M. J. Harrison, Phys. Rev. B 2, 835 (1970).
G. Marchal, P. Mangin, and C. Janot, Thin Solid Films 23(1), 17 (1974).
J. D. Adam, Proc. IEEE 76, 159 (1988).
W. C. Ishak, Proc. IEEE 76, 171 (1988).
A. K. Sarychev, D. J. Bergman, and Y. Yagil, Phys. Rev. B 51, 5366 (1995).
R. Levy-Nathansohn and D. J. Bergman, Phys. Rev. B 55, 5425 (1997).
I. V. Antonets, L. N. Kotov, V. G. Shavrov, and V. I. Scheglov, in Functional Materials (Book of Abstracts of the Int. Conf., Crimea, Ukraine, Oct. 6–11, 2003) (Kharkov, 2003), p. 115.
I. V. Antonets, L. N. Kotov, S. V. Nekipelov, et al., Radiotekh. Elektron. (Moscow) 49, 1243 (2004) [J. Commun. Technol. Electron. 49, 1164 (2004)].
I. V. Antonets, L. N. Kotov, S. V. Nekipelov, et al., in Proc. XII Int. Conf. on Spin Electronics and Gyrovector Electromagnetics (UNTs-1 MEI (TU), Moscow, 2003), p. 642.
I. V. Antonets, L. N. Kotov, S. V. Nekipelov, and E. A. Golubev, Zh. Tekh. Fiz. 74(3), 24 (2004) [Tech. Phys. 49, 306 (2004)].
I. V. Antonets, L. N. Kotov, S. V. Nekipelov, and E. N. Karpushov, Zh. Tekh. Fiz. 74(11), 102 (2004) [Tech. Phys. 49, 1496 (2004)].
M. I. Kontorovich and A. S. Cherepanov, Radiotekh. Elektron. (Moscow) 30, 1543 (1985).
M. I. Oksanen, S. A. Tretyakov, and I. V. Lindell, J. Electromagn. Waves Appl. 4, 613 (1990).
M. I. Kontorovich and S. A. Tret’yakov, Radiotekh. Elektron. (Moscow) 31, 1110 (1986).
S. A. Tretyakov, A. S. Cherepanov, and M. I. Oksanen, Radio Sci. 26, 523 (1991).
V. T. Erofeenko, Radiotekh. Elektron. (Moscow) 42, 530 (1997) [J. Commun. Technol. Electron. 42, 487 (1997)].
V. T. Erofeenko and S. S. Kruglei, Radiotekh. Elektron. (Moscow) 44, 1133 (1999) [J. Commun. Technol. Electron. 44, 1051 (1999)].
T. B. A. Senior and J. Volakis, Approximate Boundary Conditions in Electromagnetics (IEE, London, 1995).
D. J. Heppe and Y. Rahmat-Samii, Impedance Boundary Conditions in Electromagnetics (Taylor and Francis, Washington, DC, 1995).
D. Ya. Khaliullin and S. A. Tret’yakov, Radiotekh. Elektron. (Moscow) 43, 16 (1998) [J. Commun. Technol. Electron. 43, 12 (1998)].
Additional information
Original Russian Text © I.V. Antonets, L.N. Kotov, V.G. Shavrov, V.I. Shcheglov, 2007, published in Radiotekhnika i Elektronika, 2007, Vol. 52, No. 4, pp. 403–414.
Rights and permissions
About this article
Cite this article
Antonets, I.V., Kotov, L.N., Shavrov, V.G. et al. Application of the averaging method to calculation of propagation of electromagnetic radiation through thin films with different conductivities. J. Commun. Technol. Electron. 52, 379–389 (2007). https://doi.org/10.1134/S106422690704002X
Received:
Issue Date:
DOI: https://doi.org/10.1134/S106422690704002X