The dynamic of eigen oscillations of finite periodic sequence inserting the defect element


  • Vyacheslav V. Khardikov Kharkiv National University, Ukraine
  • V. B. Kazanskiy Kharkiv National University, Ukraine
  • Vladimir R. Tuz Kharkiv National University, Ukraine; Jilin University, Changchun, China



finite periodic sequence, FPS, eigen frequency, passband, filter


The analysis of the dependencies of the eigen frequencies of the defect in an FPS (finite periodic sequence) allows us to establish the basic mechanism of the influence of the defect on the FPS electromagnetic properties. Eigen frequency theory can successfully be used to determine the technical tolerance for each basic element and for the FPS as a whole.


Khardikov, V.V.; Kazanskiy, V.B. Influence of defects on electrodynamic properties of a semiinfinite periodic sequence of the metal-dielectric scatterers. Proc. of Int. Conf. on Mathematical Methods in Electromagnetic Theory, MMET*02. Kiev, 2002, Vol. 2, pp. 523-525.

Kazanskiy, V.B.; Tuz, V.R.; Khardikov, V.V. Influence of defect in UHF-filters from identical metal-dielectric elements. Visnyk KNU. Radiophysica ta Electronica, 2001, No. 513, p. 7-11.

Kazanskiy, V.B.; Podlozny, V.V.; Khardikov, V.V. Electromagnetic properties multielement periodic system with metal-dielectric scatterrers. Radiophysica I Radioastronomiya, 1999, Vol. 4, No. 2, p. 135-144.

Kazanskiy, V.B.; Podlozny, V.V.; Khardikov, V.V. Investigation scattering characteristics of the sequence of the identical elements using Kely- Gamilton theorem. Electromagnetic waves and electron system, 1999, Vol. 4, No. 3, p. 19-27.

Shestopalov, V.P.; Litvinenko, L.N.; Masalov, S.A.; Sologubn. V.G. Wave diffraction on the gratings. Kharkov: Izd-vo KNU, 1973, 278 p. (in Russian).

Nefedov, E.I.; Sivov, A.N. Electrodynamics of periodic structures. M.: Nauka, 1977, 209 p.

Veselov, G.I.; Raevskiy, S.B. Layered metal-dielectric waveguides. M.: Radio I Svyaz', 1988, 248 p. (in Russian).

Kazanskiy, V.B.; Tuz, V.R.; Khaidikov, V.V. Quasiperiodic metaldielectric structure as a multifunctional control system. Izvestiya VUZov. Radioelektronika, 2002, Vol. 45, No. 7, p. 56-67.





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