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Abstract
Effective properties of one-dimensional photonic crystals in the resonance domain are investigated. The obtained analytic expressions of effective permittivity and permeability lead to several results. Firstly, in the case of lossless materials, effective permittivity and permeability take, in general, complex values. It is shown that these values are governed by the truncation of the boundary layer. Considering the particular case of a symmetric unit cell, the effective permittivity and permeability become purely real and, by the way, coherent with physics. Finally, in this case with a symmetric unit cell, we show that effective permittivity and permeability can stay nearly constant in a wide range of wavevectors including propagating and evanescent waves.
Acknowledgements
Thanks are due to Brian Stout and Anne Sentenac for carefully reading the manuscript. This work was partly supported by the research program METAPHORE (AC nanosciences et nanotechnologies of the French Ministère de la Recherche et des Nouvelles Technologies), the EC-funded projects PHOREMOST (FP6/2003/IST/2-511616) and the project FANI of the ANR-funded program PNANO (Agence Nationale de la Recherche).