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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2023 Volume 16, Issue 1, Pages 76–86 (Mi jsfu1058)

Effective dielectric permeability of a medium with periodic inclusions

Vladimir P. Kazantsev, Oleg A. Zolotov, Irina A. Baranova, Viktor E. Zalizniak

Siberian Federal University, Krasnoyarsk, Russian Federation

Abstract: A method for estimating the effective dielectric permittivity tensor is described in the paper. The method is based on variational principle for media with periodic inclusions. It allows one to obtain upper and lower bounds for possible values of the dielectric permittivity of a two-component system. Numerical results for composite structures with dielectric (metal) cubical and spherical inclusions are presented.

Keywords: effective dielectric permittivity tensor, variational principle, periodic inclusionseffective dielectric permittivity tensor, variational principle, periodic inclusions.

UDC: 51-73, 517.9, 537.2

Received: 28.09.2022
Received in revised form: 14.10.2022
Accepted: 26.11.2022

Language: English



© Steklov Math. Inst. of RAS, 2024