Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2020. No. 12

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UDC 621.371: 538.574


Excitation of anisotropic impedance metasurface in the form of elliptical cylinder


A. I. Semenikhin, D. V. Semenikhina

Southern Federal University, Institute of the Radio Engineering Systems and Control, Nekrasovskyy Lane, 44, Taganrog 347928, Russia

The paper is received on December 4, 2020


Abstract. The problem of arbitrary excitation of waves by a system of external sources near an anisotropic metasurface in the form of an elliptical cylinder with a surface homogenized impedance tensor of general form is solved. The solution to the problem is written as a superposition of E- and H-waves in elliptical coordinates. The partial reflection coefficients of waves were found from the boundary conditions using the orthogonality of the Mathieu angular functions. For these coefficients, four coupled infinite systems of linear algebraic equations of the second kind are obtained. The conditions under which the solution of the excitation problem by the method of eigenfunctions is obtained in an explicit form are found and analyzed. It is shown that for this, the surface impedance tensor of a uniform metasurface must belong to a class of deviators (have zero diagonal elements). In the particular case of a mutual (most easily realized) metasurface, its impedance tensor should only be reactance. In another special case, the impedance tensor of a set of deviators describes a class of anisotropic nonreciprocal metasurfaces with the so-called perfect electromagnetic conductivity (PEMC).

Key words: elliptical cylinder, metasurface, surface impedance tensor, perfect electromagnetic conductor, excitation of waves.


1.       Yang F., Mei Z.L., Cui T.J. Control of the Radiation Patterns Using Homogeneous and Isotropic Impedance Metasurface. International Journal of Antennas and Propagation. 2015. 7 pages. ID 917829. http://dx.doi.org/10.1155/2015/917829

2.       Padooru Y.R., Yakovlev A.B., Chen P.-Y., Alù A. Line-source excitation of realistic conformal metasurface cloaks. J. Appl. Phys. 2012. Vol.112. 104902.

3.       Kamiński P.M., Yakovlev A.B., Arslanagić S. Mantle Cloaks for Elliptical Cylinders Excited by an Electric Line Source. 2016 URSI International Symposium on Electromagnetic Theory (EMTS). Espoo. Finland. 2016. P.1-4. https://doi.org/10.1109/URSI-EMTS.2016.7571349.

4.       Shchelokova A.V. et al. Experimental Realization of Invisibility Cloaking. Physics-Uspekhi. 2015. Vol.58. No.2. P.167.

5.       Morse P.M., Fechbach H. Metods of Theoretical Physics. New York. Toronto. London. McGraw-Hill Book Company. 1953. 1978 p.

6.       Wait D.R. Electromagnetic Radiation From Cylindrical Structures. London. Pergamon Press. 1959. 200 p.

7.       Markov G.T., Chaplin A.F. Vozbuzhdenie elektromagnitnykh voln [Electromagnetic Waves Excitation]. Moscow. Radio i SvyazТ Publ. 1983. 296 p. (In Russian)

8.       Alexopoulos N.G., Tadler G.A., Schott F.W. Scattering from an elliptic cylinder loaded with an active or passive continuously variable surface impedance. IEEE Trans. Antennas and Propag. 1974. Vol.22. No.1. P.132-134.

9.       Zvyagintcev ј.ј., Batrakov D.ќ. Diffraction on an Elliptic Impedance Cylinder. Izvestiya VUZ: Radiophysic Ц Radiophysics and Quantum Electronics. 1989. Vol.32. No.9. P.1125-1131. (In Russian)

10.  Hamid A.K., Cooray F.R. Scattering by a Perfect Electromagnetic Conducting Elliptic Cylinder. Progress In Electromagnetics Research Letters. 2009. Vol.10. 59-67. P.59-67.

11.  Lindell I.V., Sihvola A.H. Perfect electromagnetic conductor. Journal of Electromagnetic Waves and Applications. 2005. Vol.19. No.7. P.861-869.

12.  Ruppin R. Scattering of electromagnetic radiation by a perfect electromagnetic conductor cylinder. Journal of Electromagnetic Waves and Applications. 2006. Vol.20. No.13. P.1853-1860.

13.  Abramowitz M., Stegun A., editors. Handbook of Mathematical Functions. Dover Publ. Inc. New York. 1964. 1046 p.

14.  Semenikhin A.I. Transformation of waves, invariant to descent angle in case of reflection from anisotropic controlled coatings. Izvestiya VUZ: Radioelektronika Ц Radioelectroniсs and Communications Systems. 2002. Vol.45. No.6. P.42Ц50. (In Russian)


For citation:

Semenikhin A.I., Semenikhina D.V. Excitation of anisotropic impedance metasurface in the form of elliptical cylinder. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2020. No.12. https://doi.org/10.30898/1684-1719.2020.12.5(In Russian)