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Effect of Periodicity in the Resonant Scattering of Light by Finite Sparse Configurations of Many Silver Nanowires

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Abstract

We consider the two-dimensional (2-D) scattering of the H- and E-polarized plane waves by several discrete configurations made of M> > 1 periodically arranged circular cylindrical silver wires. To find the scattered field, we use the field Fourier expansions in local coordinates and addition theorems for cylindrical functions. Resulting M × M block-type matrix equation is cast to the Fredholm second-kind form that guarantees convergence of numerical solution when each block is truncated to finite dimensions and truncation order is taken larger. The scattering and absorption cross-sections and the near-field patterns are computed. The interplay of plasmon and grating-type resonances is studied for finite in-line and stacked arrays, corners, and crosses made of nano-size silver wires in the visible range of wavelengths, with the refractive index of silver taken from the experimental data.

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Acknowledgment

This work has been partially supported by the National Academy of Sciences of Ukraine via the Target Program “Nanotechnologies and Nanomaterials,” the European Science Foundation via the travel grants of the Networking Programme “Newfocus,” and the International Visegrad Fund and the Rennes-Metropole Association via the Mobility Grants to the first author.

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Authors and Affiliations

  1. Institute of Radio-Physics and Electronics, National Academy of Sciences of Ukraine, Kharkiv, 61085, Ukraine

    Denys M. Natarov & Alexander I. Nosich

  2. Institute of Electronics and Telecommunications, Université de Rennes 1, Rennes, France

    Ronan Sauleau

  3. National Institute of Telecommunications, Szachowa 1, Warsaw, 04-894, Poland

    Marian Marciniak

  4. Kielce University of Technology, Al. Tysiaclecia Panstwa Polskiego 7, Kielce, 25-314, Poland

    Marian Marciniak

Authors
  1. Denys M. Natarov
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  2. Ronan Sauleau
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  3. Marian Marciniak
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  4. Alexander I. Nosich
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Correspondence to Denys M. Natarov.

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Natarov, D.M., Sauleau, R., Marciniak, M. et al. Effect of Periodicity in the Resonant Scattering of Light by Finite Sparse Configurations of Many Silver Nanowires. Plasmonics 9, 389–407 (2014). https://doi.org/10.1007/s11468-013-9636-5

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  • DOI: https://doi.org/10.1007/s11468-013-9636-5

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