Retrieving the effective parameters of metamaterials from the single interface scattering problem

Yang, J.; Sauvan, C.; Paul, T.; Rockstuhl, C.; Lederer, F.; Lalanne, P.
August 2010
Applied Physics Letters;8/9/2010, Vol. 97 Issue 6, p061102
Academic Journal
In order to better understand when man-made structures may be considered as metamaterials with effective properties at optical frequencies, we study the scattering (reflection, transmission) of light at a single interface between a uniform half-space and a bulk metamaterial, i.e., a semi-infinite three-dimensional periodic structure. We accurately compute the scattering coefficients between plane waves and Bloch modes and test the validity of the single-Bloch-mode approximation within the metamaterial. The knowledge of the single-interface scattering coefficients allows us to propose an innovative method for deriving effective optical parameters.


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