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- Helsing, Johan, et al.
(author)
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Spectral super-resolution in metamaterial composites
- 2011
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In: New Journal of Physics. - : IOP Publishing. - 1367-2630. ; 13:11
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Journal article (peer-reviewed)abstract
- We investigate the optical properties of periodic composites containing metamaterial inclusions in a normal material matrix. We consider the case when these inclusions have sharp corners and, following Hetherington and Thorpe, use analytic results to argue that it is then possible to deduce the shape of the corner (its included angle) by measurements of the absorptance of such composites when the scale size of the inclusions and period cell is much finer than the wavelength. These analytic arguments are supported by highly accurate numerical results for the effective permittivity function of such composites as a function of the permittivity ratio of inclusions to the matrix. The results show that this function has a continuous spectral component with limits independent of the area fraction of inclusions, and with the same limits for both square and staggered square arrays. For staggered arrays where the squares are almost touching, the absorption spectrum is an extremely sensitive probe of the inclusion separation distance and acts like a Vernier scale.
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- McPhedran, Ross, et al.
(author)
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Resonances and Fields near Metamaterial Inclusions
- 2012
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In: Antennas and Propagation Society International Symposium (APSURSI), 2012 IEEE. - 1522-3965 .- 1947-1491. - 9781467304627
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Conference paper (peer-reviewed)abstract
- We consider systems of particles in two dimensions with negative dielectric permittivity and sharp corners. The field divergences near the corners of the inclusions are non-square-integrable for negative permittivities in a range depending on the corner angle, and the leading term for small distances is provided by the static term. We have developed a highly accurate numerical method which uses adaptive techniques to resolve field behaviour near the corners. We use this to elucidate the resonant spectrum associated with the effective permittivity of arrays of such particles, and in particular its behaviour as the particles approach touching.
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