Effective Maxwell equations in a geometry with flat rings of arbitrary shape
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Date
2012-04-23
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Abstract
We analyze the time harmonic Maxwell’s equations in a complex
geometry. The homogenization process is performed in the case that many
small, thin conductors are distributed in a subdomain of R^3. Each single
conductor is, topologically, a split ring resonator, but we allow arbitrary
flat shapes. In the limit of large conductivities in the rings and small
ring diameters we obtain an effective Maxwell system. Depending on the
frequency, the effective system can exhibit a negative effective permeability.
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Keywords
homogenization, Maxwell equations, negative index materials