An additional boundary condition (ABC) for mushroom or bed-of-nails metamaterials is generalized for thin 3-D or 2-D material patches or ground planes. It is shown that the usual ABC necessary for the homogenization of these wire-medium metamaterials fails for thin imperfect conductors, and a generalization is presented based on charge conservation. The new ABC leads to results that are in good agreement with full-wave simulations.
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Yakovlev et al. (2010) studied this question.
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