Abstract
Rigorous solution of the problem of plane- and cylindrical-wave scattering by a circular cylinder made from a metamaterial is presented. It is shown that, inside a metamaterial cylinder, a symmetric caustic of refracted geometrical-optics rays with one cuspidal point is formed. The influence of the position of a cylindrical-wave source and the absolute value of the refractive index of the metamaterial both on the scattering pattern and the near field structure is studied.
Similar content being viewed by others
References
V. G. Veselago, Usp. Fiz. Nauk 92, 517 (1968).
J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
J. B. Pendry and D. R. Smith, Phys. Today 57(6), 37 (2004).
A. B. Petrin, Pis’ma Zh. Eksp. Teor. Fiz. 87, 550 (2008) [JETP Letters 88, 464 (2008)].
G. W. Hooft, Phys. Rev. Lett. 87, 249701 (2001).
G. V. Eleftheriades and A. K. Iyer, P. C. Kremer, IEEE Trans. Microwave Theory Tech. 50, 2702 (2002).
A. D. Shatrov, Radiotekh. Elektron. (Moscow) 52, 1430 (2007) [J. Commun. Technol. Electron. 52, 1324 (2007)].
A. V. Dorofeenko, A. A. Lisyansky, A. M. Merzlikin, and A. P. Vinogradov, Phys. Rev. 73, 235126 (2006).
V. Veselago, L. Braginsky, V. Shklover, and C. Hafner, J. Comput. Theor. Nanosci. 3(2), 189 (2006).
A. P. Anyutin, Zhurnal Radioelektron., No. 7 (2007); http://jre.cplire.ru/alt/julo7/5/text.html.
A. S. Kryukovskii and D. S. Lukin, Edge and Angular Catastrophes in the Uniform Geometric Theory of Diffraction (MFTI, Moscow, 1999) [in Russian].
A. S. Kryukovskii, D. S. Lukin, E. A. Palkin, and D. V. Rastyagaev, Radiotekh. Elektron. (Moscow) 51, 1155 (2006) [J. Commun. Technol. Electron. 51, 1087 (2006)].
A. P. Anioutine, A. G. Kyurkchan, and S. A. Minaev, J. Quant. Spectrosc. Radiat. Transf. 79–80, 509 (2003).
A. P. Anioutine and V. I. Stasevich, J. Quant. Spectrosc. Radiat. Transf. 100(1–3), 15 (2005).
A. G. Kyurkchan, S. A. Minaev, and A. L. Soloveichik, Radiotekh. Elektron. (Moscow) 46, 666 (2001) [J. Commun. Technol. Electron. 46, 615 (2001)].
Additional information
Original Russian Text © A.P. Anyutin, 2011, published in Radiotekhnika i Elektronika, 2011, Vol. 56, No. 9, pp. 1029–1043.
Rights and permissions
About this article
Cite this article
Anyutin, A.P. Diffraction of plane and cylindrical waves by a metamaterial cylinder. J. Commun. Technol. Electron. 56, 1029–1043 (2011). https://doi.org/10.1134/S1064226911050020
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064226911050020