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79952940970
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A = 0.46 a.
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79952946066
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note
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In a 2D square lattice of dielectric rods, modes having their E field along the rods are substantially more concentrated inside the rods and therefore experience the high E of the rods. On the other hand, modes having their E field in the periodicity plane experience average E smaller than that along the rods; hence the anisotropy in effective ε. Our frequency domain simulations (not discussed here) show that in the low-frequency limit, the metamaterial indeed has effective ε = (1.23,1.23,2.43).
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7
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79952906711
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1 would work equally well. However, the structure that we analyze in Fig. 3 offers somewhat more flexibility in the material choice, in the sense that equal anisotropic ε and μ do not have to occur in the same material.
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Pochi Yeh, Optical Waves in Layered Media, Chap. 5 (Ref. [3]), pp. 102-110; Chap. 6, pp. 118-128. In the TMM, we model each layer as being uniform; e.g., in the case of layer A of Fig. 2, uniform ε = (1.23,1.23,2.43).
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