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Spatiotemporal dispersion and waveguide properties of 2D-periodic metallic rod photonic crystals

  • Atoms, Molecules, Optics
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Abstract

The method of integral equations based on the Green function of periodically arranged sources with a given phase shift (a periodic Green function) is used to investigate periodic metamaterials in the form of the simplest metallic and dielectric inclusions into a rectangular and cubic lattice in a dielectric medium (matrix) with permittivity ɛ. Metallic rods with a radius of the order of tens of nanometers are described by a complex macroscopic permittivity \(\operatorname{Re} \tilde \varepsilon < 0\). Waves in the terahertz and infrared ranges propagate along the rods virtually with the speed of light and with small losses weakly dependent on the transverse wave number, while those in the optical range, especially in its short-wavelength part, transform into slow waves of a dielectric waveguide.

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Authors and Affiliations

  1. Chernyshevsky Saratov State University, Astrakhanskaya ul. 83, Saratov, 410012, Russia

    M. V. Davidovich

  2. Department of Radio Science and Engineering, School of Electrical Engineering, Aalto University F1-00076, P.O. Box 12000, 00076, Aalto, Finland

    I. S. Nefedov

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  1. M. V. Davidovich
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  2. I. S. Nefedov
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Correspondence to M. V. Davidovich.

Additional information

Original Russian Text © M.V. Davidovich, I.S. Nefedov, 2014, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2014, Vol. 145, No. 5, pp. 771–786.

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Davidovich, M.V., Nefedov, I.S. Spatiotemporal dispersion and waveguide properties of 2D-periodic metallic rod photonic crystals. J. Exp. Theor. Phys. 118, 673–686 (2014). https://doi.org/10.1134/S1063776114040104

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  • DOI: https://doi.org/10.1134/S1063776114040104

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