Scattering of light by gratings of metal-coated circular nanocylinders on a dielectric substrate

Jandieri, Vakhtang; Meng, Peiwen; Yasumoto, Kiyotoshi; Liu, Yunfei

doi:10.1364/josaa.32.001384

Cited by 16 publications

(6 citation statements)

References 24 publications

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“…Next, we compare our code for the scattering of a TE polarized plane wave by a core-shell nanocylinder as studied in Ref. [74]. Results are displayed in Figure A1b and show good agreement with the two methods.…”

Section: Abbreviationsmentioning

confidence: 84%

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Open-Source Computational Photonics with Auto Differentiable Topology Optimization

Vial

Hao

2022

Mathematics

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In recent years, technological advances in nanofabrication have opened up new applications in the field of nanophotonics. To engineer and develop novel functionalities, rigorous and efficient numerical methods are required. In parallel, tremendous advances in algorithmic differentiation, in part pushed by the intensive development of machine learning and artificial intelligence, has made possible large-scale optimization of devices with a few extra modifications of the underlying code. We present here our development of three different software libraries for solving Maxwell’s equations in various contexts: a finite element code with a high-level interface for problems commonly encountered in photonics, an implementation of the Fourier modal method for multilayered bi-periodic metasurfaces and a plane wave expansion method for the calculation of band diagrams in two-dimensional photonic crystals. All of them are endowed with automatic differentiation capabilities and we present typical inverse design examples.

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Section: Abbreviationsmentioning

confidence: 84%

“…The inner radius is R 1 = 60 nm, outer radius R 2 = 30 nm. Wider lines are results from [74] and thin solid lines are from our FEM implementation.…”

Section: Discussionmentioning

confidence: 99%

Open-Source Computational Photonics with Auto Differentiable Topology Optimization

Vial

Hao

2022

Mathematics

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“…It is important to mention that the accuracy of the numerical analyses has been tested by the energy conservation, which could be written as (Jandieri et al , 2015): …”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Efficient analysis method of light scattering by a grating of plasmonic nanorods

Jandieri

Okropiridze

Yasumoto

et al. 2018

COMPEL

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Purpose The purpose of this paper is to develop a rigorous self-contained formulation for analyzing electromagnetic scattering by grating of plasmonic nanorods. The authors investigate this structure from the viewpoint of the practical application as a refractive index plasmonic sensor. The presented rigorous formulation is accompanied with a neat implementation providing a high computation efficiency and could be considered as an important tool for designing and optimizing compact sensors. Design/methodology/approach Scattering of an incident plane wave by grating made of a periodic arrangement of metal-coated dielectric nanocylinders on a dielectric slab is rigorously investigated using the recursive algorithm combined with the lattice sums technique. As a dielectric slab, the authors consider glass material, which is widely used in experiments, whereas silver (Ag) is used as a low loss metal suitable to excite plasmon resonances. The main advantage of the developed self-contained formulation is that first the authors extract the reflection and transmission matrices of a single planar array from a separate analysis of the grating and the slab and then obtain the scattering characteristics of the whole structure by using a recursive formula. The method is computationally fast. Findings Dependence of the surface plasmon resonance wavelength on the refractive index of the surrounding medium is carefully investigated. The resonance peaks are red-shifted with respect to an increasing refractive index of surrounding medium showing an almost linear behavior. Near field distributions are analyzed at the resonance wavelengths of the spectral responses. Special attention is paid to the formation of the dual-absorption bands because of the excitation of the localized surface plasmons. The authors give physical insight to the coupling between grating and the glass slab. The authors found that a strong enhancement of the field inside the slab occurs when the scattered wave of the grating is phase-matched to the guided modes supported by the slab. Originality/value In the authors’ formulation, they do not use any approximation and it is rigorous and accurate. The authors use their original method. The method is based on the lattice sums technique and uses the recursive algorithm to calculate the generalized reflection and transmission characteristics by grating. Such fast and accurate method is an effective tool apt for designing and optimizing tailored sensors, for e.g. advanced biomedical applications.

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“…In the numerical examples we assume silver (Ag) for the metal employing the Drude-Lorentz model [19,32]. Silver is commonly used for nanoparticle plasmonics because of the relatively easy production and small loss.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…This leads to developing metallic nanostructures that can control light at the nanoscale in direct analogy to traditional optical components such as lens, mirrors and waveguides. Many of these applications rely on a planar geometry in practice [13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Scattering of Light by the Metal-Coated Dielectric Nanocylinders With Angular Periodicity

Jandieri

Yasumoto²,

Liu³

et al. 2016

PIER M

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Abstract-Scattering of light by metal-coated dielectric nanocylinders periodically distributed along a cylindrical surface is investigated both theoretically and numerically. The structure is under the authors' interest because of its practical application in design and fabrication of plasmonic devices such as plasmonic ring resonators, Plasmonic Crystals and THz waveguides. The method is based on the T-matrix approach and the field expansion into the cylindrical Floquet modes. The method is rigorous, straightforward and can be easily applied to various cylindrical configurations with different types and locations of the excitation sources. Scattering cross section and absorption cross section of three and four silver (Ag) coated-dielectric nanocylinders periodically situated along a cylindrical surface are studied. Near field distributions are investigated at particular wavelengths corresponding to the resonance wavelengths in the spectral responses. Special attention is paid to the unique and interesting phenomena characterizing the cylindrical structure composed of the metal-coated nanocylinders such as: a ) localization of the field at the outer and inner interfaces of the metal-coated nanocylinders; b) excitement of the field in the gap region between the nanocylinders through the coupled plasmon resonance and c) strong confinement of the field inside the cylindrical structure. Detailed investigations have shown that unique phenomena characterizing the cylindrical configurations of the nanocylinders can be realized using a relatively simple structure composed of three nanocylinders and there is no need to further increase a number of the scatterers (nanocylinders).

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Scattering of light by gratings of metal-coated circular nanocylinders on a dielectric substrate

Cited by 16 publications

References 24 publications

Open-Source Computational Photonics with Auto Differentiable Topology Optimization

Open-Source Computational Photonics with Auto Differentiable Topology Optimization

Efficient analysis method of light scattering by a grating of plasmonic nanorods

Scattering of Light by the Metal-Coated Dielectric Nanocylinders With Angular Periodicity

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