Conclusion
In a first part of this paper, it has been shown from numerical results based on a theory of scattering from thin metallic wires that the formulae coming from mathematical studies of homogenization provides a precise estimate of the properties of metallic photonic crystals, even when the wavelength has the same order of magnitude as the period of the crystal. This property which could simplify considerably the numerical calculations is all the more interesting since it extends to doped crystals.
In a second part we have confirmed from numerical calculations the phenomenon of ultrarefraction generated by photonic crystals at the edges of a gap.
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Maystre, D., Tayeb, G., Vincent, P., Enoch, S., Guida, G. (2001). Electromagnetic Modelling of Dielectric and Metallic Photonic Crystals. In: IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media. Solid Mechanics and Its Applications, vol 91. Springer, Dordrecht. https://doi.org/10.1007/0-306-46955-3_19
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DOI: https://doi.org/10.1007/0-306-46955-3_19
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