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On two numerical methods for homogenization of Maxwell's equations

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Author

Summary, in English

When the wavelength is much larger than the typical scale of the microstructure in a material, it is possible to define effective or homogenized material coefficients. The classical way of determination of the homogenized coefficients consists of solving an elliptic problem in a unit cell. This method and the Floquet-Bloch method, where an eigenvalue problem is solved, are numerically compared with respect to accuracy and contrast sensitivity. Moreover, we provide numerical bounds on the effective permittivity. The Floquet-Bloch method is shown to be a good alternative to the classical homogenization method, when the contrast is modest.

Publishing year

2007

Language

English

Pages

1845-1856

Publication/Series

Journal Electromagnetic Waves and Applications

Volume

21

Issue

13

Document type

Journal article

Publisher

VSP BV

Topic

  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

Research group

  • Electromagnetic theory

ISBN/ISSN/Other

  • ISSN: 1569-3937