24 June 2002 Transmission properties of material with relative permittivity and permeability close to -1
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J.B. Pendry has shown that a layer of material with relative permittivity and relative permeability both equal to -1 behaves as a perfect two-dimensional lens for an object closer than the thickness of the layer. We examine results for transmission through a material with relative constants close to -1. For a passive material, the imaginary parts of relative permittivity and permeability are negative (the engineer's convention). We treat the transmission of a delta-function line source through a layer. This source includes all spatial wave numbers. The longitudinal component kz of the propagation vector normal to the surface assumes values that are negative real and imaginary for the evanescent modes. Transmission in a medium that has both relative permittivity and permeability equal to -1 amplifies the imaginary kz terms and, thus, restores the evanescent waves and bypasses the usual diffraction limit of an ordinary lens. We show that small deviations from the perfect lens material cause a change from amplification to attenuation of these evanescent waves and thus limit the degree of improvement of an image.
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John Rhodes Thomas, John Rhodes Thomas, Akira Ishimaru, Akira Ishimaru, } "Transmission properties of material with relative permittivity and permeability close to -1", Proc. SPIE 4806, Complex Mediums III: Beyond Linear Isotropic Dielectrics, (24 June 2002); doi: 10.1117/12.472981; https://doi.org/10.1117/12.472981

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