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

Alena V. Shchelokova; Alexander N. Poddubny; Pavel A. Belov

doi:https://doi.org/10.1103/PhysRevA.90.023854

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

Alena V. Shchelokova, Alexander N. Poddubny, Pavel A. Belov

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	023854
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	90
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevA.90.023854
State	Published - 26 Aug 2014
Externally published	Yes

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

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https://doi.org/10.1103/PhysRevA.90.023854

Cite this

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title = "Effects of discreteness in the Green's function of a hyperbolic medium",

abstract = "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.",

author = "Shchelokova, {Alena V.} and Poddubny, {Alexander N.} and Belov, {Pavel A.}",

year = "2014",

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AU - Shchelokova, Alena V.

AU - Poddubny, Alexander N.

AU - Belov, Pavel A.

PY - 2014/8/26

Y1 - 2014/8/26

N2 - 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.

AB - 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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U2 - https://doi.org/10.1103/PhysRevA.90.023854

DO - https://doi.org/10.1103/PhysRevA.90.023854

M3 - مقالة

SN - 1050-2947

VL - 90

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 2

M1 - 023854

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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