4.6 Article

Effects of discreteness in the Green's function of a hyperbolic medium

Journal

PHYSICAL REVIEW A
Volume 90, Issue 2, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.90.023854

Keywords

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Funding

  1. Government of the Russian Federation [074-U01]
  2. Ministry of Education and Science of the Russian Federation [11.G34.31.0020]
  3. Russian Foundation for Basic Research [14-02-92604]
  4. Dynasty Foundation (Russia)
  5. SPIE Optics and Photonics Education Scholarship
  6. Ministry of Education and Science of the Russian Federation (Zadanie) [3.1231.2014/K, 3.561.2014/K]

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We present a theoretical study of the discrete Green's function for the two-dimensional metamaterial, realized as a transmission line array. We demonstrate that the Green's function possesses distinct ripples when the isofrequency contour is of hyperbolic shape. This effect is a characteristic nonlocal feature of the hyperbolic regime and is beyond the effective medium approximation.

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