Novel Metamaterial Surfaces from Perfectly Conducting Subwavelength Corrugations

Lipton, Robert; Polizzi, Anthony; Thakur, Lokendra Singh

doi:10.1137/16m109733x

Cited by 8 publications

(3 citation statements)

References 11 publications

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“…Interesting theoretical and experimental results concerning to the propagation of electromagnetic waves in inhomogeneous or corrugated optical fibers were obtained [6][7][8][9][10]. The problems of such type are intensively studied last decade [11][12][13][14][15]. In some cases, the inhomogeneity can be described as periodic perturbation along the optical fiber axis (analogously to internal waves in the ocean [1]).…”

Section: Introductionmentioning

confidence: 99%

Corrugated non-stationary optical fiber

Akhmadjanov¹,

Rakhimov²

2023

Nanosystems: Phys. Chem. Math.

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Section: Introductionmentioning

confidence: 99%

Corrugated non-stationary optical fiber

Akhmadjanov¹,

Rakhimov²

2023

Nanosystems: Phys. Chem. Math.

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“…A systematic study was carried out in [34,35,36,37,33] to understand the electromagnetic scattering by the perfect conducting slab patterned with the subwavelength narrow slits under varying regimes and periodic patterns. And it was shown in [39] that the scattering effect by a novel metasurface made of periodically corrugated cylindrical waveguides can be approximated by smooth cylindrical waveguides with an effective metamaterial surface impedance.…”

Section: Introductionmentioning

confidence: 99%

Mathematical analysis of electromagnetic plasmonic metasurfaces

Ammari¹,

Li²,

Zou³

2019

Preprint

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We study the anomalous electromagnetic scattering in the homogenization regime, by a subwavelength thin layer of periodically distributed plasmonic nanoparticles on a perfect conducting plane. By using layer potential techniques, we derive the asymptotic expansion of the electromagnetic field away from the thin layer and quantitatively analyze the field enhancement due to the mixed collective plasmonic resonances, which can be characterized by the spectra of periodic Neumann-Poincaré type operators. Based on the asymptotic behavior of the scattered field in the macroscopic scale, we further demonstrate that the optical effect of this thin layer can be effectively approximated by a Leontovich boundary condition, which is uniformly valid no matter whether the incident frequency is near the resonant range but varies with the magnetic property of the plasmonic nanoparticles. The quantitative approximation clearly shows the blow-up of the field energy and the conversion of polarization when resonance occurs, resulting in a significant change of the reflection property of the conducting plane. These results confirm essential physical changes of electromagnetic metasurface at resonances mathematically, whose occurrence was verified earlier for the acoustic case [6] and the transverse magnetic case [11].

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“…Refraction of Gaussian pulses by negative index slabs are theoretically investigated in [6]. Subsequent work has delivered several new designs using different configurations of metallic resonators and corrugated wave guides for double negative and effective magnetic behavior [7][8][9][10][11][12][13][14][15][16][17][18][19][20] in the microwave regime.…”

Section: Introductionmentioning

confidence: 99%

Controlling Refraction Using Sub-Wavelength Resonators

Chen

Lipton

2018

Applied Sciences

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We construct metamaterials from sub-wavelength nonmagnetic resonators and consider the refraction of incoming signals traveling from free space into the metamaterial. We show that the direction of the transmitted signal is a function of its center frequency and bandwidth. The directionality of the transmitted signal and its frequency dependence is shown to be explicitly controlled by sub-wavelength resonances that can be calculated from the geometry of the sub-wavelength scatters. We outline how to construct a medium with both positive and negative index properties across different frequency bands in the near infrared and optical regime.

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Novel Metamaterial Surfaces from Perfectly Conducting Subwavelength Corrugations

Cited by 8 publications

References 11 publications

Corrugated non-stationary optical fiber

Corrugated non-stationary optical fiber

Mathematical analysis of electromagnetic plasmonic metasurfaces

Controlling Refraction Using Sub-Wavelength Resonators

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