META 2021, META'12

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Analytical and approximate treatment of the scattering problem at the interface between two periodic metamaterials
P. Lalanne, W. Śmigaj, J. Yang, T. Paul, R. Rockstuhl, F. Lederer

Last modified: 2012-01-05


We use the Bloch-mode orthogonality to derive simple closed-form expressions for the scattering coefficients at an interface between two periodic media, a computationally-challenging electromagnetic scattering problem that can be solved only with advanced numerical tools. Through comparison with fully-vectorial three-dimensional computations, the analytical expressions are shown to be highly predictive for various geometries, including dielectric waveguides and metallic metamaterials. They can thus be used with confidence for designing and engineering stacks of periodic structures.