We study numerically rigorous dispersion relations for a plane-parallel waveguide in which the impedance of the walls is determined as either the impedance of a multilayer magneto-dielectric wall having a finite thickness, or as the impedance of a corresponding finite or infinite layer. Solutions for complex waves are obtained on the basis of the numerical iterative method. The corresponding analytical relationships are found in some limiting cases.
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References
L. D. Gold’shtein and N. V. Zernov, Electromagnetic Waves [in Russian], Sovetskoe Radio, Moscow (1971).
E. I. Golant, Tech. Phys. Lett., 31, No. 12, 1074 (2005).
E. I. Golant and K.M.Golant, Tech. Phys., 51, No. 8, 1060 (2006).
I. A.Kotel’nikov, Tech. Phys., 49, No. 9, 1996 (2004).
A. V.Tikhonravov and M.K.Trubetskov, J. Commun. Technol. Electron., 50, No. 2, 247 (2005).
P. Yeh and A. Yariv, Opt. Commun., 19, No. 3, 427 (1976).
P. Yeh and A. Yariv, J. Opt. Soc. Am., 68, No. 9, 1196 (1978).
E. Anemogiannis, E. N. Glytsis, and T.K.Gaylord, J. Lightwave Technol., 17, No. 5, 929 (1999).
E. A. J. Marcatili and R.A. Schmelzer, Bell System Tech. J., 43, Pt. 2, 1783 (1964).
V. N. Meleknin and A.B.Manenkov, Zh. Tekh. Fiz., 38, No. 12, 2113 (1968).
M. V. Davidovich, Radiotekh. Élektron., 39, No. 1, 53 (1994).
L. A.Vainshtein, Sov. Phys. Uspekhi, 19, No. 2, 189 (1976).
M. V. Davidovich, J. Commun. Technol. Electron., 46, No. 11, 1185 (2001).
A. I. Akhiezer and I.A.Akhiezer, Electromagnetism and Electromagnetic Waves [in Russian], Vysshaya Shkola, Moscow (1985).
M. V. Davidovich, Tech. Phys. Lett., 32, No. 11, 982 (2006).
M. V. Davidovich and O.Yu. Alekseev, J. Commun. Technol. Electron, 49, No. 6, 621 (2004).
Yu.V. Egorov, Partially Filled Rectangular Waveguides [in Russian], Sovetskoe Radio, Moscow (1967).
L. A.Vainshtein, Open Resonators and Open Waveguides, Golem Press, Boulder, Colo. (1969).
E.Yu. Al’tshuler, M.V.Davidovich, and Yu. V. Stefyuk, J. Commun. Technol. Electron., 55, No. 1, 1998 (2010).
L.D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media, Pergamon Press, Oxford (1984).
M. V. Davidovich, Radiophys. Quantum Electron., 49, No. 2, 134 (2006).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 53, No. 1, pp. 31–40, January 2010.
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Davidovich, M.V., Stefyuk, Y.V. Waves of a plane-parallel waveguide in the form of a channel with multilayer walls. Radiophys Quantum El 53, 28–36 (2010). https://doi.org/10.1007/s11141-010-9201-4
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DOI: https://doi.org/10.1007/s11141-010-9201-4