Homogenization of ultrathin metallo-dielectric structures leading to transmission conditions at an equivalent interface

Abstract : We present a method of homogenization of thin metallo-dielectric structures as used in the design of artificial surfaces , or metasurfaces. The approach is based on a so-called matched asymptotic expansion technique, leading to parameters being characteristic of an equivalent interface associated to jump conditions. It is applied to an array of metal strips on top of a metal-backed dielectric slab, with the strips having a small but possibly finite thickness. Solving the equivalent problem provides explicit expressions (i) of the reflection coefficient for a wave at oblique incidence and (ii) of the dispersion relation of the surface waves. The results are shown to be in agreement with results coming from the transmission line theory in the limit of vanishing thickness of the metallization and for normal incidence of the wave. The influence of the finite thickness of the metallization is exemplified and validated by comparison with full wave simulations.
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Journal of the Optical Society of America B, Optical Society of America, 2016, 33 (5), 〈10.1364/JOSAB.33.000947〉
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Agnes Maurel, Jean-Jacques Marigo, Abdelwaheb Ourir. Homogenization of ultrathin metallo-dielectric structures leading to transmission conditions at an equivalent interface. Journal of the Optical Society of America B, Optical Society of America, 2016, 33 (5), 〈10.1364/JOSAB.33.000947〉. 〈hal-01657078〉

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