Abstract
The problem of diffraction of a plane electromagnetic wave by a slot in a planar perfectly conducting arbitrary thick screen with an infinite planar dielectric layer passing through the slot transversely to the screen is solved rigorously. In each of the field existence domains (two domains on either side of the screen and the interior of the slot), the solution is represented as an expansion in piecewise harmonic or exponential modes that allow for reflection and refraction at the boundaries of the dielectric layer. It is found that a set of functions describing such modes is complete enough to construct a solution satisfying all boundary conditions of the diffraction problem. The procedures of solution construction for the case at hand and for the same diffraction structure without the dielectric layer are compared.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
H. Hönl, A. Maue, and K. Westpfahl, Theorie der Beugung (Springer, Berlin, 1961; Mir, Moscow, 1964) [translated from German].
R. B. Vaganov and B. Z. Katsenelenbaum, Fundamentals of the Diffraction Theory (Nauka, Moscow, 1982) [in Russian].
M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, 1969; Nauka, Moscow 1973).
R. Mittra and S. W. Lee, Analytical Techniques in the Theory of Guided Waves (Macmillan, New York, 1971; Mir, Moscow, 1974).
S. C. Kashyap and M. A. Hamid, IEEE Trans. Antennas Propag. 19, 499 (1971).
L. N. Litvinenko, S. L. Prosvirnin, and V. P. Shestopalov, Radiotekh. Élektron. (Moscow) 22, 474 (1977).
V. M. Serdyuk, Zh. Tekh. Fiz. 75(8), 113 (2005) [Tech. Phys. 50, 1076 (2005)].
L. A. Vaĭnshteĭn, Electromagnetic Waves (Radio i Svyaz’, Moscow, 1988) [in Russian].
M. Adams, An Introduction to Optical Waveguides (Wiley, New York, 1981; Mir, Moscow, 1984).
V. V. Shevchenko, Continuous Transitions in Open Waveguides (Nauka, Moscow, 1969; Golem, Boulder, 1971).
L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis, 5th ed. (Fizmatgiz, Moscow, 1962; Wiley, New York, 1964).
A. N. Tikhonov and V. Ya. Arsenin, Solutions of Ill-Posed Problems (Nauka, Moscow, 1986; Wiley, New York, 1977), pp. 110–127.
N. N. Kalitkin, Numerical Methods (Nauka, Moscow, 1978) [in Russian].
Functional Analysis, Ed. by S. G. Krein (Nauka, Moscow, 1972; Wolters-Noordhoff, Groningen, 1972).
Author information
Authors and Affiliations
Additional information
Original Russian Text © V.M. Serdyuk, 2006, published in Zhurnal Tekhnicheskoĭ Fiziki, 2006, Vol. 76, No. 6, pp. 98–105.
Rights and permissions
About this article
Cite this article
Serdyuk, V.M. Diffraction of a plane electromagnetic wave by a slot in a conducting screen with a transverse dielectric layer. Tech. Phys. 51, 777–785 (2006). https://doi.org/10.1134/S1063784206060144
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1063784206060144