On the Homogenization of the Periodic Maxwell System
Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 3, pp. 90-94
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We study the homogenization problem for the stationary periodic Maxwell system in $\mathbb{R}^3$ in the small period limit. Each field is represented as a sum of two terms. For some terms, we obtain convenient approximations in the $L_2(\mathbb{R}^3)$-norm.
Keywords:
periodic Maxwell operator, homogenization, effective medium.
@article{FAA_2004_38_3_a7,
author = {T. A. Suslina},
title = {On the {Homogenization} of the {Periodic} {Maxwell} {System}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {90--94},
year = {2004},
volume = {38},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2004_38_3_a7/}
}
T. A. Suslina. On the Homogenization of the Periodic Maxwell System. Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 3, pp. 90-94. http://geodesic.mathdoc.fr/item/FAA_2004_38_3_a7/
[1] Bakhvalov N. S., Panasenko G. P., Osrednenie protsessov v periodicheskikh sredakh, Nauka, M., 1984 | MR | Zbl
[2] Bensoussan A., Lions J.-L., Papanicolaou G., Asymptotic analysis for periodic structures, Stud. Math. Appl., 5, North-Holland Publishing Co., Amsterdam-New York, 1978 | MR
[3] Zhikov V. V., Kozlov S. M., Oleinik O. A., Usrednenie differentsialnykh operatorov, Nauka, M., 1993 | MR | Zbl
[4] Birman M. Sh., Suslina T. A., Systems, Approximations, Singular Integral Operators and Related Topics (Bordeaux, 2000), Oper. Theory Adv. Appl., 129, Birkhäuser, Basel, 2001, 71–107 | MR | Zbl
[5] Birman M. Sh., Suslina T. A., Algebra i analiz, 15:5 (2003), 1–108 | MR | Zbl