Microscopic theory of a transition layer on the ideal surface of semiinfinite dielectric media and the near-field effect

Gadomskiǐ, O. N.; Sukhov, Sergey

doi:10.1134/1.1307445

Cited by 20 publications

(8 citation statements)

References 8 publications

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“…However, beyond a very narrow interval of angles around θ = θ B the formula (22) derived by Sivukhin is, most likely, wrong and is not suitable to describe the angular dependence of the reflection coefficient. This result is in agreement with observations in [18,19,21].…”

Section: A Grid Of Electric Dipoles On the Substrate: Comparison Withsupporting

confidence: 96%

“…The problem similar to that analyzed in works [16,17,21] arises for dielectric surfaces adsorbing clusters of metal atoms or ions modifying their reflectance and transmittance. This study was done in 1970s by Bedeaux and Vlieger in work [22] (for regular square grids, see also in [23]).…”

Section: History Of the Problemmentioning

confidence: 85%

“…Further, Gadomski and Sukhov in work [21] and in a number of further works has indicated that formulas by Sivukhin do not stand numerical validation.…”

Section: History Of the Problemmentioning

confidence: 94%

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Electromagnetic characterization of substrated metasurfaces

2011

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Section: A Grid Of Electric Dipoles On the Substrate: Comparison Withsupporting

confidence: 96%

Section: History Of the Problemmentioning

confidence: 85%

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Electromagnetic characterization of substrated metasurfaces

2011

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“…This is consistent with the behavior of the extraordinary mode's wavenumber as determined using Eqs. (66) and agrees with the findings of Gadomskii and Sukhov [31]. Layer number (n) For case (c) in Fig.…”

Section: Dipole Moment Distribution Near the Boundary Of Free-space Asupporting

confidence: 81%

Boundary Effects in the Electromagnetic Response of a Metamaterial in the Case of Normal Incidence

Scher¹,

Kuester²

2009

PIER B

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Abstract-In this paper we investigate boundary effects and other consequences of spatial dispersion by analyzing in detail the response of a metamaterial half-space to a monochromatic plane wave normally incident from free-space. The metamaterial is composed of an orthorhombic lattice of identical particles, each of which exhibits both an electric and magnetic response. Rather than relying on the conventional boundary conditions and the Clausius-Mossotti equations, we use instead the point-dipole interaction model and an expansion of polarization in eigenmodes to determine the structure's dispersion relation and electromagnetic response. Using the nearestneighbor approximation, we show how truncating the crystal lattice excites an "ordinary" mode and two "extraordinary" modes that are necessary to satisfy the boundary conditions at the interface. For most cases, the extraordinary modes are evanescent, and thus form a thin transition layer at the surface. However, under certain conditions, typically near particle resonances, either one or both of these modes can be propagating.

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“…In more recent years, the eigenmode approach has been expanded and adapted to the analysis of artificial crystals and metamaterials (e.g., see Refs. [16,25,[33][34][35][36][37][38][39][40][41][42]). …”

Section: Introductionmentioning

confidence: 99%

The Electromagnetic Response of a Metamaterial Slab in the Case of Normal Incidence

Scher¹,

Kuester²

2011

PIER B

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Abstract-In this paper, we analyze the electromagnetic response of a metamaterial slab in the case of normal incidence using the point-dipole interaction model and an expansion of polarization by eigenmodes. The problem is simplified by assuming that the lattice dimensions are smaller than a half wavelength and invoking the nearest neighbor approximation. In this manner, we find the structure supports three modes: an ordinary mode and two extraordinary modes. A systematic method is presented to find the scattering from the slab, and the results are confirmed by full wave simulation using Ansoft HFSS.

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Microscopic theory of a transition layer on the ideal surface of semiinfinite dielectric media and the near-field effect

Cited by 20 publications

References 8 publications

Electromagnetic characterization of substrated metasurfaces

Electromagnetic characterization of substrated metasurfaces

Boundary Effects in the Electromagnetic Response of a Metamaterial in the Case of Normal Incidence

The Electromagnetic Response of a Metamaterial Slab in the Case of Normal Incidence

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