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      Determination of Effective Permittivity and Permeability of Metamaterials from Reflection and Transmission Coefficients

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          Abstract

          We analyze the reflection and transmission coefficients calculated from transfer matrix simulations on finite lenghts of electromagnetic metamaterials, to determine the effective permittivity and permeability. We perform this analysis on structures composed of periodic arrangements of wires, split ring resonators (SRRs) and both wires and SRRs. We find the recovered frequency-dependent permittivity and permeability are entirely consistent with analytic expressions predicted by effective medium arguments. Of particular relevance are that a wire medium exhibits a frequency region in which the real part of permittivity is negative, and SRRs produce a frequency region in which the real part of permeability is negative. In the combination structure, at frequencies where both the recovered real part of permittivity and permeability are simultaneously negative, the real part of the index-of-refraction is found also to be unambigously negative.

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          Author and article information

          Journal
          2001-11-28
          2002-02-14
          Article
          10.1103/PhysRevB.65.195104
          physics/0111203
          c1f9c678-8fae-4237-8fd0-70f24f6d9c79
          History
          Custom metadata
          Phys. Rev. B 65 (2002) 195104
          *.pdf file, 5 figures
          physics.class-ph

          Classical mechanics
          Classical mechanics

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