Wave scattering by metamaterial wedges and interfaces

Andrey A. Sukhorukov; Ilya V. Shadrivov; Yuri S. Kivshar

doi:10.1002/jnm.602

Wave scattering by metamaterial wedges and interfaces

Andrey A. Sukhorukov^*, Ilya V. Shadrivov, Yuri S. Kivshar

^*Corresponding author for this work

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

25 Citations (Scopus)

Abstract

We outline specific features of numerical simulations of metamaterial wedges and interfaces. We study the effect of different positioning of a grid in the Yee method, which is necessary to obtain consistent convergence in modelling of interfaces with metamaterials characterized by negative dielectric permittivity and negative magnetic permeability. We demonstrate however that, in the framework of the continuous-medium approximation, wave scattering on the wedge may result in a resonant excitation of waves with infinitely large spatial frequencies, leading to non-convergence of the simulation results that depend on the discretization step.

Original language	English
Pages (from-to)	105-117
Number of pages	13
Journal	International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Volume	19
Issue number	2
DOIs	https://doi.org/10.1002/jnm.602
Publication status	Published - Mar 2006

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10.1002/jnm.602

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abstract = "We outline specific features of numerical simulations of metamaterial wedges and interfaces. We study the effect of different positioning of a grid in the Yee method, which is necessary to obtain consistent convergence in modelling of interfaces with metamaterials characterized by negative dielectric permittivity and negative magnetic permeability. We demonstrate however that, in the framework of the continuous-medium approximation, wave scattering on the wedge may result in a resonant excitation of waves with infinitely large spatial frequencies, leading to non-convergence of the simulation results that depend on the discretization step.",

keywords = "Left-handed media, Metamaterial, Singularities, Wave scattering, Yee scheme",

author = "Sukhorukov, {Andrey A.} and Shadrivov, {Ilya V.} and Kivshar, {Yuri S.}",

year = "2006",

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AU - Kivshar, Yuri S.

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AB - We outline specific features of numerical simulations of metamaterial wedges and interfaces. We study the effect of different positioning of a grid in the Yee method, which is necessary to obtain consistent convergence in modelling of interfaces with metamaterials characterized by negative dielectric permittivity and negative magnetic permeability. We demonstrate however that, in the framework of the continuous-medium approximation, wave scattering on the wedge may result in a resonant excitation of waves with infinitely large spatial frequencies, leading to non-convergence of the simulation results that depend on the discretization step.

KW - Left-handed media

KW - Metamaterial

KW - Singularities

KW - Wave scattering

KW - Yee scheme

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DO - 10.1002/jnm.602

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ER -

Wave scattering by metamaterial wedges and interfaces

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