Excitation of surface waves on a perfect conducting cylinder with nonlinear loads covered with a layer of metamaterial

 

N. N Gorbatenko, D. V. Semenikhina

Institute of Radio Engineering Systems and Management of the Southern Federal University, per. Nekrasovsky 44, Taganrog 347904, Russia

 

The paper is received on October 13, 2018

 

Abstract. In this paper, an electrodynamic analysis of an ideally conducting cylinder with a nonlinear load (NL), covered with a layer of metamaterial, had carried out. The nonlinear load has described by the polynomial volt-ampere characteristics. The problem has solved with the help of a system of non-linear integral equations (SNIE), with the application of nonlinear boundary conditions on the surface of nonlinear load. SNIE has transformed into a system of nonlinear algebraic equations (SNAU) using the Krylov-Bogolyubov method. An iterative method of numerical optimization used to solve the SNAU. As the main, the method of Broyden-Fletcher-Goldfarba-Shanno (BFGS) had chosen since it does not require an exact initial approximation. The conditions for the existence of surface waves on an ideally conducting cylinder are considered. It is shown that the use of a DNG material allows one to excite a surface wave at the interface between metamaterial-metal media. Using the modeling of the problem in Ansys HFSS the metamaterial parameters had calculated for which excitation of surface waves at multiple frequencies occurs. The scattering diagrams at the fundamental frequency and at the second harmonic for various parameters of the metamaterial were obtained.

Key words: metamaterial, nonlinear load, harmonic tags, nonlinear boundary condition, nonlinear radar.

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For citation:

N. N Gorbatenko, D. V. Semenikhina. Excitation of surface waves on a perfect conducting cylinder with nonlinear loads covered with a layer of metamaterial. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2018. No. 10. Available at http://jre.cplire.ru/jre/oct18/14/text.pdf

DOI  10.30898/1684-1719.2018.10.14