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arXiv · 1310.4064

Homogenization of the spectral equation in one-dimension

Thi Trang Nguyen·Michel Lenczner·Matthieu Brassart
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Abstract

The asymptotic behavior of a one-dimensional spectral problem with periodic coefficient is addressed for high frequency modes by a method of Bloch wave homogenization. The analysis leads to a spectral problem including both microscopic and macroscopic eigenmodes. Numerical simulation results are provided to corroborate the theory.

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Thi Trang Nguyen, Michel Lenczner, Matthieu Brassart. 2013-10-15. Homogenization of the spectral equation in one-dimension. https://arxiv.org/abs/1310.4064

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