scholarly journals Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions

2020 ◽  
Vol 54 (3) ◽  
pp. 957-976 ◽  
Author(s):  
Emilia Blåsten ◽  
Hongjie Li ◽  
Hongyu Liu ◽  
Yuliang Wang

This paper reports some interesting discoveries about the localization and geometrization phenomenon in plasmon resonances and the intrinsic geometric structures of Neumann-Poincaré eigenfunctions. It is known that plasmon resonance generically occurs in the quasi-static regime where the size of the plasmonic inclusion is sufficiently small compared to the wavelength. In this paper, we show that the global smallness condition on the plasmonic inclusion can be replaced by a local high-curvature condition, and the plasmon resonance occurs locally near the high-curvature point of the plasmonic inclusion. We link this phenomenon with the geometric structures of the Neumann-Poincaré (NP) eigenfunctions. The spectrum of the Neumann-Poincaré operator has received significant attentions in the literature. We show that the Neumann-Poincaré eigenfunctions possess some intrinsic geometric structures near the high-curvature points. We mainly rely on numerics to present our findings. For a particular case when the domain is an ellipse, we can provide the analytic results based on the explicit solutions.

Nanomaterials ◽  
2021 ◽  
Vol 11 (9) ◽  
pp. 2176
Author(s):  
Yi-Xin Zhao ◽  
Hao-Sen Kang ◽  
Wen-Qin Zhao ◽  
You-Long Chen ◽  
Liang Ma ◽  
...  

Flower-like metallic nanocrystals have shown great potential in the fields of nanophononics and energy conversion owing to their unique optical properties and particular structures. Herein, colloid Au nanoflowers with different numbers of petals were prepared by a steerable template process. The structure-adjustable Au nanoflowers possessed double plasmon resonances, tunable electric fields, and greatly enhanced SERS and photocatalytic activity. In the extinction spectra, Au nanoflowers had a strong electric dipole resonance located around 530 to 550 nm. Meanwhile, a longitudinal plasmon resonance (730~760 nm) was obtained when the number of petals of Au nanoflowers increased to two or more. Numerical simulations verified that the strong electric fields of Au nanoflowers were located at the interface between the Au nanosphere and Au nanopetals, caused by the strong plasmon coupling. They could be further tuned by adding more Au nanopetals. Meanwhile, much stronger electric fields of Au nanoflowers with two or more petals were identified under longitudinal plasmon excitation. With these characteristics, Au nanoflowers showed excellent SERS and photocatalytic performances, which were highly dependent on the number of petals. Four-petal Au nanoflowers possessed the highest SERS activity on detecting Rhodamine B (excited both at 532 and 785 nm) and the strongest photocatalytic activity toward photodegrading methylene blue under visible light irradiation, caused by the strong multi-interfacial plasmon coupling and longitudinal plasmon resonance.


2019 ◽  
Vol 55 (33) ◽  
pp. 4813-4816 ◽  
Author(s):  
Xia Sun ◽  
Yu Zou ◽  
Jiang Jiang

Surface plasmon resonance excitation on Au enhances a visible light-assisted click reaction through synergistic photothermal and hot electron effects.


Nanomaterials ◽  
2019 ◽  
Vol 9 (3) ◽  
pp. 334 ◽  
Author(s):  
Wenli Cui ◽  
Wei Peng ◽  
Li Yu ◽  
Xiaolin Luo ◽  
Huixuan Gao ◽  
...  

The miniaturization and integration of photonic devices are new requirements in the novel optics field due to the development of photonic information technology. In this paper, we report that a multifunctional layered structure of Au, SiO2 and hexagonal nanodisk film is advantageous for ultra-narrowband filtering, near-perfect absorption and sensing in a wide refractive index (RI) region. This hexagonal nanostructure presented two remarkable polarization independent plasmon resonances with near-zero reflectivity and near-perfect absorptivity under normal incidence in the visible and near-infrared spectral ranges. The narrowest full width at half maximum (FWHM) of these resonances was predicted to be excellent at 5 nm. More notably, the double plasmon resonances showed extremely obvious differences in RI responses. For the first plasmon resonance, an evident linear redshift was observed in a wide RI range from 1.00 to 1.40, and a high RI sensitivity of 600 nm/RIU was obtained compared to other plasmonic nanostructures, such as square and honeycomb-like nanostructures. For the second plasmon resonance with excellent FWHM at 946 nm, its wavelength position almost remained unmovable in the case of changing RI surrounding nanodisks in the same regime. Most unusually, its resonant wavelength was insensitive to nearly all structural parameters except the structural period. The underlying physical mechanism was analyzed in detail for double plasmon resonances. This work was significant in developing high-performance integrated optical devices for filtering, absorbing and biomedical sensing.


2018 ◽  
Vol 8 ◽  
pp. 184798041877240 ◽  
Author(s):  
Salma Alrasheed ◽  
Enzo Di Fabrizio

Display technologies are evolving more toward higher resolution and miniaturization. Plasmonic color pixels can offer solutions to realize such technologies due to their sharp resonances and selective scattering and absorption at particular wavelengths. Metal nanosphere dimers are capable of supporting plasmon resonances that can be tuned to span the entire visible spectrum. In this article, we demonstrate numerically bright color pixels that are highly polarized and broadly tuned using periodic arrays of metal nanosphere dimers on a glass substrate. We show that it is possible to obtain RGB pixels in the reflection mode. The longitudinal plasmon resonance of nanosphere dimers along the axis of the dimer is the main contributor to the color of the pixel, while far-field diffractive coupling further enhances and tunes the plasmon resonance. The computational method used is the finite-difference time-domain method. The advantages of this approach include simplicity of the design, bright coloration, and highly polarized function. In addition, we show that it is possible to obtain different colors by varying the angle of incidence, the periodicity, the size of the dimer, the gap, and the substrate thickness.


2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Renlong Zhou ◽  
Guozheng Nie ◽  
Lingxi Wu ◽  
Qiong Liu ◽  
Suxia Xie ◽  
...  

We have studied analytically the reflection assisted with surface plasmon through the square lattice perforated gold film. Under the excitation of the external electromagnetic field with one or two different frequencies, the second-order nonlinearity exists in this noncentrosymmetric metal-based metamaterial. We employed the two surface plasmon resonances modes with different lattice periods. With the excitation of two different plasmon resonances modes, the strong local field induces an expected increase of the second-order nonlinearity including second harmonic generation as well as the sum (difference) frequency generation. The field distributions results also indicate that the enhancement of sum frequency signals and difference frequency signals strongly depends on surface plasmon resonance effect.


2019 ◽  
Vol 9 (1) ◽  
Author(s):  
F. Wu ◽  
P. A. Thomas ◽  
V. G. Kravets ◽  
H. O. Arola ◽  
M. Soikkeli ◽  
...  

AbstractPlasmonic biosensing has emerged as the most sensitive label-free technique to detect various molecular species in solutions and has already proved crucial in drug discovery, food safety and studies of bio-reactions. This technique relies on surface plasmon resonances in ~50 nm metallic films and the possibility to functionalize the surface of the metal in order to achieve selectivity. At the same time, most metals corrode in bio-solutions, which reduces the quality factor and darkness of plasmonic resonances and thus the sensitivity. Furthermore, functionalization itself might have a detrimental effect on the quality of the surface, also reducing sensitivity. Here we demonstrate that the use of graphene and other layered materials for passivation and functionalization broadens the range of metals which can be used for plasmonic biosensing and increases the sensitivity by 3-4 orders of magnitude, as it guarantees stability of a metal in liquid and preserves the plasmonic resonances under biofunctionalization. We use this approach to detect low molecular weight HT-2 toxins (crucial for food safety), achieving phase sensitivity~0.5 fg/mL, three orders of magnitude higher than previously reported. This proves that layered materials provide a new platform for surface plasmon resonance biosensing, paving the way for compact biosensors for point of care testing.


2009 ◽  
Vol 8 (2 and 3) ◽  
Author(s):  
Ali Faghih ◽  
Edo Waks

The objective of the project was to fabricate gold nano-rods and study the optical properties of gold nano-particles when coupled to Indium Arsenide quantum dots. The gold nano-rods were synthesized by a seed-mediated growth method using CTAB and BDAC as the surfactants, and the feasibility of changing the aspect ratio of the rods and their Plasmon resonance frequency was studied by varying the concentrations of these two surfactants. Finally, gold nano-rods with longitudinal Plasmon resonance of 940 nm were synthesized. Next, we studied the feasibility of coupling gold nano-wires to indium arsenide quantum dots for investigating their optical properties and studying the spontaneous emission enhancement of InAs QDs in the presence of the plasmon resonances of gold nano-wires. The sample containing nano-wires coupled to quantum dots was excited by red laser, and the emission was passed through a spectrometer and the spectrum was obtained.


Nano Express ◽  
2021 ◽  
Author(s):  
Nilesh Kumar Pathak ◽  
Partha Sarathi

Abstract In the present study, the heat generation in gold nanodimers when irradiated at their localized surface plasmon resonances is investigated numerically. The theoretical calculations are performed employing the first principal approach to obtain the absorption cross-section of gold nanodimer for different parameter ranges. The heating mechanism is enumerated in terms of its temperature by solving the steady-state heat transfer equation which depends on the absorption cross-section and surface plasmon resonance wavelength. These surface plasmon resonances are quite sensitive to the distance between the dimer and have been tuned from visible to IR range by managing the distance between spheres from 0 to 6nm. The computation of normalized electric field distribution of gold nanodimer under the plasmon resonance has been mapped using boundary element method(BEM) which enables visualization of the local hot spot that plays a significant role in optical heating applications. The work furnishes the basic understanding of the heating mechanism of gold nanodimer which can find application as plasmonic nanoheaters in several branches of science in visible and near-infrared regions of the electromagnetic spectrum.


Nanoscale ◽  
2021 ◽  
Author(s):  
Tao Zhou ◽  
Si-Jing Ding ◽  
Zhi-Yong Wu ◽  
Da-Jie Yang ◽  
Li-Na Zhou ◽  
...  

The cooperation of magnetic and electric plasmon resonances in cup-shaped metallic nanostructures exhibits significant capability for second-harmonic generation (SHG) enhancement. Herein, we report an approach to synthesize Au open nanoshells...


2008 ◽  
Vol 18 (01) ◽  
pp. 71-78
Author(s):  
NORMAN J. MORGENSTERN HORING ◽  
H. L. CUI

Over the past twenty years, surface plasmon resonance has been developed as an effective technique for use in real-time biotechnological measurements of the kinetics of label-free biomolecular interactions with high sensitivity.1-16 On a fundamental level, it is the dielectric-imaging involvement of the adsorbed biomolecular layer (DNA for example) in shifting the surface plasmon resonance (SPR) frequency by means of electrostatic coupling at the interface with the metal film substrate that facilitates SPR-based optical sensing. Of course, there are various factors that can influence surface plasmon resonance, including plasma nonlocality, phonons, multiplicity of layers, all of which should be carefully examined. Moreover, tunable SPR phenomenology based on the role of a magnetic field (both classically and quantum mechanically) merits consideration in regard to the field's effects on both the substrate17 and the adsorbed layer(s).18 This paper is focused on the establishment of the basic equations governing surface plasmon resonance, incorporating all the features cited above. In it, we present the formulation and closed-form analytical solution for the dynamic, nonlocal screening function of a thick substrate material with a thin external adsorbed layer, which can be extended to multiple layers. The result involves solution of the random phase approximation (RPA) integral equation for the spatially inhomogeneous system of the substrate and adsorbed layer,19-25 given the individual polarizabilities of the thick substrate and the layer. (This is tantamount to the space-time matrix inversion of the inhomogeneous joint dielectric function of the system.) The frequency poles of the resulting screening function determine the shifted surface (and bulk) plasmon resonances and the associated residues at the resonance frequencies provide their relative excitation amplitudes. The latter represent the response strengths of the surface plasmon resonances (oscillator strengths), and will be of interest in optimizing the materials to be employed.


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