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A scaling analysis of the extraordinary transmission by subwavelength holes is provided. The structure under study is a lamellar grating. The grating can be described by homogeneous permittivity and permeability tensors. The permeability is dispersive and the peaks of transmission result from a Bragg condition.
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Guy Bouchitté, Christophe Bourel, Didier Felbacq, Emmanuel Kling, "Homogenization of a highly contrasted array of holes," Proc. SPIE 9929, Nanostructured Thin Films IX, 99290N (26 September 2016); https://doi.org/10.1117/12.2237337