Geodesic
Effective dielectric permeability of a medium with periodic inclusions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 1, pp. 76-86

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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. 
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     title = {Effective dielectric permeability of a medium with periodic inclusions},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2023_16_1_a7/}
}
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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/