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Homogenization of Electromagnetic Fields Propagation in a Composite

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Transactions on Engineering Technologies (WCE 2017)

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Abstract

In this paper we study the two-scale behavior of the electromagnetic field in 3D in a composite material. It is the continuation of the paper (Canot and Frenod Method of homogenization for the study of the propagation of electromagnetic waves in a composite 2017) [7] in which we obtain existence and uniqueness results for the problem, we performed an estimate that allows us to approach homogenization. Techniques of asymptotic expansion and two-scale convergence are used to obtain the homogenized problem. We justify the two-scale expansion numerically in the second part of the paper.

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Authors and Affiliations

  1. Helene Canot and Emmanuel Frenod are in the Department of Mathematics of University of Bretagne Sud (LMBA), Centre Yves Coppens, Bat. B, 1er et., Campus de Tohannic BP 573, 56017, Vannes, France

    Helene Canot & Emmanuel Frenod

Authors
  1. Helene Canot
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  2. Emmanuel Frenod
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Corresponding author

Correspondence to Helene Canot .

Editor information

Editors and Affiliations

  1. Unit 1, 1F, International Association of Engineers Unit 1, 1F, Hong Kong, Hong Kong

    Sio-Iong Ao

  2. School of Aerospace, Transport & Manuf., Cranfield University School of Aerospace, Transport & Manuf., Cranfield, Beds, United Kingdom

    Len Gelman

  3. Department of Computer and Communication, Engi. College, Catholic Univ. of DaeGu Department of Computer and Communication, DaeGu, Korea (Republic of)

    Haeng Kon Kim

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Canot, H., Frenod, E. (2019). Homogenization of Electromagnetic Fields Propagation in a Composite. In: Ao, SI., Gelman, L., Kim, H. (eds) Transactions on Engineering Technologies. WCE 2017. Springer, Singapore. https://doi.org/10.1007/978-981-13-0746-1_1

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