Local thickness-dependent permittivity model for nonlocal bounded wire-medium structures

Yakovlev, Alexander B.; Hedayati, Maziar; Silveirinha, Mário G.; Hanson, George W.

doi:10.1103/physrevb.94.155442

Cited by 11 publications

(5 citation statements)

References 58 publications

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“…6). It can be seen that the agreement between the ABCD results and non-local results (with the analytical details for a non-local model given in [64]) even better than for a WM slab (previous example) for a smaller ratio / La due to a stronger confinement of the evanescent TM WM mode at the interface because of the presence of the patch array. In the final example (with the geometry shown in Fig.…”

Section: Numerical Results and Discussionmentioning

confidence: 77%

“…The analysis proposed here concerns the development of an equivalent transmission (ABCD) matrix approach for non-local WM interfaces. This work was triggered by recent advancements in modeling of non-local material interfaces, wherein the smearing of surface charges due to non-local effects was approximated by a local, finite-thickness layer [63], [64]. In [63] it was shown that the spatial non-locality in metals can be represented by a composite material comprising a thin local dielectric layer on top of a local metal.…”

Section: Introductionmentioning

confidence: 99%

“…In [63] it was shown that the spatial non-locality in metals can be represented by a composite material comprising a thin local dielectric layer on top of a local metal. Moreover, in [64] a local thickness-dependent permittivity was derived in closed form for bounded non-local WM structures, which takes into account the SD effects as an average per length of the wires and the effect of the boundary. In this regard we should point out Ref.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An Equivalent ABCD-Matrix Formalism for Non-Local Wire Media With Arbitrary Terminations

Yakovlev

Silveirinha

Hanson

et al. 2020

IEEE Trans. Antennas Propagat.

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A simple analytical model based on the transmission-matrix approach is proposed for equivalent wire-medium (WM) interfaces. The obtained ABCD matrices for equivalent interfaces capture the non-local effects due to the evanescent transverse magnetic (TM) WM mode and in part due to the propagating transverse electromagnetic (TEM) WM mode. This enables one to characterize the overall response of bounded WM structures by cascading the ABCD matrices of equivalent WM interfaces and WM slabs as transmission lines supporting only the propagating TEM WM mode, resulting in a simple circuit-model formalism for bounded WM structures with arbitrary terminations, including the open-end, patch/slot arrays, and thin metal/2D material, among others. The individual ABCD matrices for equivalent WM interfaces apparently violate the conservation of energy and reciprocity, and therefore, the equivalent interfaces apparently behave as nonreciprocal lossy or active systems. However, the overall response of a bounded WM structure is consistent with the lossless property maintaining the conservation of energy and reciprocity. These unusual features are explained by the fact that in the non-local WM the Poynting vector has an additional correction term which takes into account a "hidden power" due to non-local effects. Results are obtained for various numerical examples demonstrating a rapid and efficient solution for bounded WM structures, including the case of geometrically complex multilayer configurations with arbitrary terminations, subject to the condition that WM interfaces are decoupled by the evanescent TM WM mode below the plasma frequency. Index Terms-Wire medium, homogenization theory, spatial dispersion (SD), additional boundary condition (ABC), metamaterials, ABCD matrix.

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Section: Numerical Results and Discussionmentioning

confidence: 77%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An Equivalent ABCD-Matrix Formalism for Non-Local Wire Media With Arbitrary Terminations

Yakovlev

Silveirinha

Hanson

et al. 2020

IEEE Trans. Antennas Propagat.

Self Cite

View full text Add to dashboard Cite

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“…Multipole resonance is produced by a nonuniform electric field in the short-wavelength region, and it has been identified as hybrid quadrupole resonance. The main reason for the nonuniform polarization and electric fields is the nonlocal homogenized medium of the overlaid TiO 2 film or the nanoparticle distribution [42].…”

Section: Resultsmentioning

confidence: 99%

The Response of UV/Blue Light and Ozone Sensing Using Ag-TiO2 Planar Nanocomposite Thin Film

Shih

2019

Sensors

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We successfully fabricated a planar nanocomposite film that uses a composite of silver nanoparticles and titanium dioxide film (Ag-TiO2) for ultraviolet (UV) and blue light detection and application in ozone gas sensor. Ultraviolet-visible spectra revealed that silver nanoparticles have a strong surface plasmon resonance (SPR) effect. A strong redshift of the plasmonic peak when the silver nanoparticles covered the TiO2 thin film was observed. The value of conductivity change for the Ag-TiO2 composite is 4–8 times greater than that of TiO2 film under UV and blue light irradiation. The Ag-TiO2 nanocomposite film successfully sensed 100 ppb ozone. The gas response of the composite film increased by roughly six and four times under UV and blue light irradiation, respectively. We demonstrated that a Ag-TiO2 composite gas sensor can be used with visible light (blue). The planar composite significantly enhances photo catalysis. The composite films have practical application potential for wearable devices.

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“…An alternative approach proposed by Rytov and Levin [20][21][22][23][24][25][26] for layered systems was generalized to two-dimensional and three-dimensional cases [27][28][29][30][31][32][33] . The basic idea is the averaging of the fields over the unit cell (or over its surface 13 ) of the periodic medium.…”

Section: Homogenization Of Maxwell's Equations In a Layered System Bementioning

confidence: 99%

Homogenization of Maxwell’s equations in a layered system beyond the static approximation

Merzlikin

Puzko

2020

Sci Rep

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The propagation of electromagnetic waves through a disordered layered system is considered in the paradigm of the homogenization of Maxwell’s equations. Although the accuracy of the effective dielectric permittivity and/or magnetic permeability is still unclear outside the static approximation, we show that the effective wave vector can be correctly introduced even in high-frequency cases. It is demonstrated that both the real and imaginary parts of the effective wave vector are self-averaging quantities connected by the Kramers–Kronig relations. We provide a unified approach to describe the propagation and localization of electromagnetic waves in terms of the effective wave vector. We show that the effective wave vector plays the same role in describing composite materials in electrodynamics as the effective dielectric permittivity does in statics.

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Local thickness-dependent permittivity model for nonlocal bounded wire-medium structures

Cited by 11 publications

References 58 publications

An Equivalent ABCD-Matrix Formalism for Non-Local Wire Media With Arbitrary Terminations

An Equivalent ABCD-Matrix Formalism for Non-Local Wire Media With Arbitrary Terminations

The Response of UV/Blue Light and Ozone Sensing Using Ag-TiO2 Planar Nanocomposite Thin Film

Homogenization of Maxwell’s equations in a layered system beyond the static approximation

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