@article{JSFU_2023_16_1_a7,
author = {Vladimir P. Kazantsev and Oleg A. Zolotov and Irina A. Baranova and Viktor E. Zalizniak},
title = {Effective dielectric permeability of a medium with periodic inclusions},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {76--86},
year = {2023},
volume = {16},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2023_16_1_a7/}
}
TY - JOUR AU - Vladimir P. Kazantsev AU - Oleg A. Zolotov AU - Irina A. Baranova AU - Viktor E. Zalizniak TI - Effective dielectric permeability of a medium with periodic inclusions JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2023 SP - 76 EP - 86 VL - 16 IS - 1 UR - http://geodesic.mathdoc.fr/item/JSFU_2023_16_1_a7/ LA - en ID - JSFU_2023_16_1_a7 ER -
%0 Journal Article %A Vladimir P. Kazantsev %A Oleg A. Zolotov %A Irina A. Baranova %A Viktor E. Zalizniak %T Effective dielectric permeability of a medium with periodic inclusions %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2023 %P 76-86 %V 16 %N 1 %U http://geodesic.mathdoc.fr/item/JSFU_2023_16_1_a7/ %G en %F JSFU_2023_16_1_a7
Vladimir P. Kazantsev; Oleg A. Zolotov; Irina A. Baranova; Viktor E. Zalizniak. Effective dielectric permeability of a medium with periodic inclusions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 1, pp. 76-86. http://geodesic.mathdoc.fr/item/JSFU_2023_16_1_a7/
[1] J.C.Maxwell, A treatise on electricity and magnetism, Oxford, 1873
[2] L.D.Landau, E.M.Lifshitz, Electrodynamibs of Continuous Media, Pergamon Press, Oxford, 1960
[3] V.P.Kazantsev, “Variational estimates in electrostatics of dielectrics”, Journal of Technical physics, 53:3 (1983), 449–456 (in Russian)
[4] V.P.Kazantsev, “Determination of polarizability of dielectric particles following from variational principles”, Radio physics, 23 (1980), 635–637 (in Russian)
[5] V.S.Zarubin, G.N.Kuvyrkin, I.YuSavelyeva, “Estimates of Dielectric Permeability of a Composite with Inclusions in the Form of Rotation Ellipsoids”, Herald of the Bauman Moscow State Technical University. Series Natural Sciences, 4 (2016) | DOI
[6] V.S.Zarubin, G.N.Kuvyrkin, I.YuSavelyeva, “Mathematical modelling of dielectric properties of composite with metal foil inclusions”, Mathematics and mathematical modelling, 5 (2015), 64–82 (in Russian) | DOI
[7] V.S.Zarubin, G.N.Kuvyrkin, I.Yu.Savelyeva, “Evaluation of Dielectric Permittivity of Composite with Dispersed Inclusions”, Herald of the Bauman Moscow State Technical University. Series Instrument Engineering, 2015, no. 3, 50–64 (in Russian) | DOI
[8] B.Sareni, L.Krähenbühl, A.Beroual, “Effective dielectric constant of periodic composite materials”, Journal of Applied Physics, 80 (1996), 1688 | DOI
[9] X.Chen, Y.Cheng, K Wu, Y.Meng, S.Wu., “Calculation of dielectric constant of two-phase disordered composites by using FEM”, Conference Record of the 2008 IEEE International Symposium on Electrical Insulation (9–12 June 2008, Vancouver, BC, Canada)