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. 2015 Jan 20;5:7892. doi: 10.1038/srep07892

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(a) Schematic of the sample, which is an air waveguide filled with a metamaterial slab (composed of 12 × 10 unit cells). Inside the metamaterial, there are three defects marked as “1”, “2”, and “3”, with respective sizes of 2a × 2b, 2a × b, and 3a × 2b, permeabilities μ = 1.5, 0.4, and 2.1, respectively, and permittivity 1. (b) Electric field pattern for a TE-polarized plane wave with frequency incident from the left side of the waveguide without the metamaterial. (c) Electric field pattern, (e) the x-component of the magnetic field pattern, and (g) the y-component of the magnetic field pattern under the same excitation conditions as (b), but with the metamaterial slab in the waveguide. (d), (f), and (h) The same quantities as those described in (c), (e), and (g), respectively, but the metamaterial slab is replaced with an effective homogenous slab, which possesses effective medium parameters ε_eff = 0.1175, μ_eff,x = 0.0002, and μ_eff,y = 0.5637.

Inline graphic — (a) Schematic of the sample, which is an air waveguide filled with a metamaterial slab (composed of 12 × 10 unit cells). Inside the metamaterial, there are three defects marked as “1”, “2”, and “3”, with respective sizes of 2a × 2b, 2a × b, and 3a × 2b, permeabilities μ = 1.5, 0.4, and 2.1, respectively, and permittivity 1. (b) Electric field pattern for a TE-polarized plane wave with frequency incident from the left side of the waveguide without the metamaterial. (c) Electric field pattern, (e) the x-component of the magnetic field pattern, and (g) the y-component of the magnetic field pattern under the same excitation conditions as (b), but with the metamaterial slab in the waveguide. (d), (f), and (h) The same quantities as those described in (c), (e), and (g), respectively, but the metamaterial slab is replaced with an effective homogenous slab, which possesses effective medium parameters ε_eff = 0.1175, μ_eff,x = 0.0002, and μ_eff,y = 0.5637.