Abstract
Three heuristic approaches are used to derive analytical formulas that represent the solution to the 2D problem of the diffraction of electromagnetic wave by a truncated wedge. The results of numerical calculations are based on the analytical formula. The solutions are analyzed, and advantages and disadvantages are discussed. It is demonstrated that only the solution derived using the method of generalized eikonal makes it possible to describe the scattered field when the dimensional parameter uniformly tends to zero.
Similar content being viewed by others
References
V. A. Tishchenko and R. Kh. Khestanov, Dokl. Akad. Nauk SSSR 212, 842 (1973).
L. P. Ivrissimtzis and R. J. Marhefka, IEEE Trans. Antennas Propag. 39, 1532 (1991).
L. P. Ivrissimtzis and R. J. Marhefka, Radio Sci. 26, 821 (1991).
M. Albani, IEEE Trans. Antennas Propag. 53, 702 (2005).
P. C. Clemmow and T. B. A. Senior, Proc. Cambridge Phil. Soc. 49, 570 (1953).
D. S. Jones, Proc. R. Soc. London, Ser. A 217, 1129 (1953).
R. Mittra and S. W. Lee, Analytical Techniques in the Theory of Guided Waves (Macmillan, New York, 1971; Mir, Moscow, 1974).
S. M. Zhurav and V. A. Kaloshin, Radiotekh. Elektron. (Moscow) 32, 1 (1987).
M. V. Vesnik, J. Commun. Techn. Electron. 53, 131 (2008).
R. Tiberio and R. G. Kouyoumjian, Radio Sci. 17, 323 (1982).
M. Albani, F. Capolino, S. Maci, and R. Tiberio, in Dig. Antennas and Propagat. Int. Symp., Newport Beach, June, 1995 (IEEE, New York, 1995), Vol. 2, p. 1352.
F. Capolino, M. Albani, S. Maci, and R. Tiberio, IEEE Trans. Antennas Propag. 45, 1219 (1997).
M. Albani, F. Capolino, S. Maci, and R. Tiberio, IEEE Trans. Antennas Propag. 45, 277 (1997).
M. V. Vesnik, Zh. Radioelektron. (Elektron. Zh.), No. 8 (1999); http://jre.cplire.ru/win/aug99/2/text.html
M. V. Vesnik, J. Commun. Techn. Electron. 45, 82 (2000).
M. V. Vesnik, IEEE Trans. Antennas Propag. 49, 1638 (2001).
M. V. Vesnik, Nelineinyi Mir 1(1–2), 55 (2003).
M. V. Vesnik, J. Commun. Techn. Electron. 48, 990 (2003).
M. V. Vesnik, Elektromagn. Volny Elektron. Sist., 9(11), 23 (2004).
M. V. Vesnik, J. Commun. Techn. Electron. 53, 131 (2008).
M. V. Vesnik, and Yu. A. Kravtsov, in Yu. A. Kravtsov, and N. Y. Zhu, Theory of Diffraction: Heuristic Approaches (Alpha Science Int., Oxford, 2010), Section 5.1.7., p. 243.
M. V. Vesnik and P. Y. Ufimtsev, Electromagnetics 12(3–4), 265 (1992).
M. V. Vesnik, Radiotekh. Elektron. (Moscow) 38, 1416 (1993).
M. V. Vesnik, J. Commun. Techn. Electron. 56, 531 (2011).
L. A. Vainshtein, Electromagnetic Waves, 2nd ed. (Radio i Svyaz’, Moscow, 1988) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.V. Vesnik, 2012, published in Radiotekhnika i Elektronika, 2012, Vol. 57, No. 10, pp. 1053–1065.
Rights and permissions
About this article
Cite this article
Vesnik, M.V. Analytical solution for the 2D diffraction of electromagnetic wave by a truncated wedge. J. Commun. Technol. Electron. 57, 1061–1072 (2012). https://doi.org/10.1134/S1064226912090136
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064226912090136