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Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Oct;74(4 Pt 2):046618. Epub 2006 Oct 27.

Uniaxial metallo-dielectric metamaterials with scalar positive permeability.

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  • 1Department of Physics, Queen's University Belfast, Belfast, BT7 1NN, United Kingdom.


The dispersion relation for plane waves in uniaxial metamaterials with indefinite dielectric tensors and scalar positive permeability is theoretically investigated. It is found, that the isofrequency surfaces of the plane extraordinary waves have a hyperbolic shape which allows the propagation of waves with infinitely long wave vectors. As an example a metallodielectric multilayer was considered and the dispersion relations were determined using an effective medium approximation and an analytically exact Bloch wave calculation. The extraordinary waves in this structure are identified as multilayer plasmons and the validity of the effective medium approximation is examined.

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