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• W3098120364 startingPage "20160765" @default.
• W3098120364 abstract "All metamaterial applications are based upon the idea that extreme material properties can be achieved through appropriate dynamic homogenization of composites. This homogenization is almost always done for infinite domains and the results are then applied to finite samples. This process ignores the evanescent waves which appear at the boundaries of such finite samples. In this paper, we first clarify the emergence and purpose of these evanescent waves in a model problem consisting of an interface between a layered composite and a homogeneous medium. We show that these evanescent waves form boundary layers on either side of the interface beyond which the composite can be represented by appropriate infinite domain homogenized relations. We show that if one ignores the boundary layers, then the displacement and stress fields are discontinuous across the interface. Therefore, the scattering coefficients at such an interface cannot be determined through the conventional continuity conditions involving only propagating modes. Here, we propose an approximate variational approach for sidestepping these boundary layers. The aim is to determine the scattering coefficients without the knowledge of evanescent modes. Through various numerical examples we show that our technique gives very good estimates of the actual scattering coefficients beyond the long wavelength limit." @default.
• W3098120364 created "2020-11-23" @default.
• W3098120364 creator A5031815709 @default.
• W3098120364 creator A5049187891 @default.
• W3098120364 date "2017-04-01" @default.
• W3098120364 modified "2023-09-24" @default.
• W3098120364 title "Evanescent wave boundary layers in metamaterials and sidestepping them through a variational approach" @default.
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• W3098120364 doi "https://doi.org/10.1098/rspa.2016.0765" @default.
• W3098120364 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/28484323" @default.
• W3098120364 hasPublicationYear "2017" @default.
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