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On negative effective mass and negative group velocity in anharmonic seismic metamaterials 非调和地震超材料的负有效质量和负群速度
IF 1.6 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2022-01-01 DOI: 10.1051/epjam/2022008
R. Zivieri
In this work, an anharmonic mass-in-mass system that can be employed as a nonlinear seismic metamaterial is represented as an equivalent anharmonic mass-spring system via an effective medium approach. The dispersion relation and the behavior of the effective mass as a function of the angular frequency obtained in the regime of weak anharmonicity deviate from those of the corresponding linear system because of the effect of the fourth-order potential anharmonicity. In the presence of anharmonic soft springs it is found a range of wave vectors close to the Brillouin border zone at which the group velocity of the acoustic and optical modes is negative, namely it is opposite to the phase velocity, and a wider band gap at the border of the first Brillouin zone with respect to that of the linear case. Both effects can be tuned by varying the anharmonicity strength. The huge band gap amplitude together with the strong reduction of the frequency of the acoustic mode could be exploited for the design of nonlinear seismic metamaterials at the basis of composite foundations operating in the stop band frequencies.
在这项工作中,可以作为非线性地震超材料的非调和质量-质量系统通过有效介质方法被表示为等效的非调和质量-弹簧系统。由于四阶势非谐性的影响,在弱非谐性条件下得到的色散关系和有效质量随角频率的变化规律偏离了相应的线性系统。在非调和软弹簧存在的情况下,发现在布里渊边界区附近有一个波矢量范围,在该范围内声光模式的群速度为负,即与相速度相反,并且在第一布里渊区边界处的带隙比线性情况下的带隙更宽。这两种效应都可以通过改变非谐波强度来调节。巨大的带隙幅值和声模态频率的强烈降低,可用于复合地基的非线性地震超材料的设计。
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引用次数: 1
The role of nonlocal response in second harmonic generation at metasurfaces with triangular metaatoms 非局域响应在具有三角元原子的超表面上二次谐波产生中的作用
IF 1.6 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2022-01-01 DOI: 10.1051/epjam/2022013
Y. B. Habibullah, T. Ishihara
Metasurface consisting of square array of obtuse isosceles triangle metaatoms is found to exhibit much more efficient second harmonic generation (SHG) compared to that of split ring resonators and its heptagonal modification, experimentally as well as numerically. All of them are designed to lack inversion symmetry in horizontal direction but to have vertical symmetry, and to meet the double resonance condition for vertically-polarized fundamental and horizontally-polarized SHG waves. SHG efficiencies were estimated numerically for each structure by evaluating an overlap integral of second order nonlinear polarization and field distribution at the SHG wavelength. The large overlap integral for the triangle metasurface is ascribed to the nonlocal response at the SHG wavelength. Current induced at the center of the triangle near the obtuse angle by horizontally polarized light at SHG wavelength flows toward two corners of acute angles. As a result, polarization charges oscillate in time at the surfaces of two acute corners, which results in strong field oscillation away from the center where the electric field is applied to majority of free electrons. Experimentally observed wavelength dependence of SHG efficiencies for the three metasurfaces are reasonably reproduced by a numerical estimation.
实验和数值结果表明,由钝角等腰三角形元原子组成的方形阵列的超表面比裂环谐振器及其七方修饰的二次谐波产生效率高得多。它们都是在水平方向上缺乏反演对称性而具有垂直对称性,并且满足垂直极化基波和水平极化SHG波的双共振条件。通过计算二阶非线性偏振和场分布的重叠积分,对每个结构的SHG效率进行了数值估计。三角形超表面的大重叠积分归因于SHG波长处的非局部响应。SHG波长水平偏振光在钝角附近的三角形中心产生的电流流向锐角的两个角。结果,极化电荷在两个锐角的表面随时间振荡,这导致了远离中心的强场振荡,在中心,电场作用于大多数自由电子。实验观察到的三种超表面SHG效率的波长依赖性通过数值估计得到了合理的再现。
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引用次数: 0
Dynamic transmission-reflection dichroism based on humidity-responsive metal-hydrogel-metal nanocavities 基于湿度响应金属-水凝胶-金属纳米腔的动态透射-反射二色性
IF 1.6 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2022-01-01 DOI: 10.1051/epjam/2022016
Dandan Wang, Qiang Li, Yunbin Ying, Runhu Li, Minglian Cheng, Yingxin Chen, Jian Zhang, Xuefeng Zhang
“Lycurgus cup” effect, referring dichroism between reflection and transmission modes of the same structures, is a peculiar phenomenon of multi-faceted display in structural color. Beyond the static dichrotic display, the realization of dynamic dichroism desires active materials and tunable structures, and owns the great demand from smart display, anti-counterfeiting and environmental sensing. We hereby propose a metal-hydrogel-metal (MHM) nanocavity for dynamic dichrotic display. This structure includes thin silver layers to induce the partial transmission with the existing reflection, and a polyvinyl alcohol (PVA) hydrogel layer owning the swelling/deswelling deformability to humidity change. The following experimental measurements and theoretical analysis prove that the reflection and transmission modes exist at distinct wavelengths, and the swelling hydrogel layer by humidity change between 10 and 90% RH can dynamically modulate the dichrotic resonance with the wavelength shift over 100 nm. Such environmental-sensitive and real-time tunable dichroism with hydrogel-based structural color is then verified for multi-color printing, resolution test, and cycling test.
“莱库格斯杯”效应是指同一结构的反射和透射模式之间的二色性,是结构色彩中多面显示的一种奇特现象。在静态二色显示之外,动态二色的实现需要活性材料和可调结构,并且具有智能显示、防伪和环境传感的巨大需求。我们在此提出了一种用于动态二色显示的金属-水凝胶-金属(MHM)纳米腔。该结构包括薄银层和聚乙烯醇(PVA)水凝胶层,前者可以诱导现有反射的部分透射,后者对湿度变化具有溶胀/溶胀变形能力。接下来的实验测量和理论分析证明了在不同的波长处存在反射和透射模式,并且在10 ~ 90% RH的湿度变化下膨胀的水凝胶层可以动态调制波长位移超过100 nm的二向色共振。这种具有环境敏感性和实时可调的水凝胶结构色二色性,然后在多色印刷、分辨率测试和循环测试中得到验证。
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引用次数: 0
Numerical methods for design of metamaterial photonic crystals and random metamaterials 超材料光子晶体和随机超材料设计的数值方法
IF 1.6 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2022-01-01 DOI: 10.1051/epjam/2021012
T. Terao
Two-dimensional metamaterial photonic crystals (2DMPCs) composed of dispersive metamaterials in a positive-refractive-index medium were investigated by incorporating finite-difference time-domain calculations into the auxiliary differential equation method. A distinct band gap was formed and the effects of positional and size disorder when the dispersive metamaterials are aligned in air were elucidated. In addition, using the self-consistent finite-difference frequency-domain method, an eigenmode analysis of 2DMPCs with positional disorder was performed. Finally, a numerical method for the inverse design of binary random metamaterial multilayers was proposed.
将时域有限差分法与辅助微分方程法相结合,研究了在正折射率介质中由色散超材料组成的二维超材料光子晶体。研究了色散超材料在空气中排列时形成明显的带隙,并阐明了位置和尺寸无序的影响。此外,利用自洽有限差分频域方法,对具有位置无序的2DMPCs进行了特征模态分析。最后,提出了一种二元随机超材料多层反设计的数值方法。
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引用次数: 1
Morphing for faster computations with finite difference time domain algorithms 变形为更快的计算与有限差分时域算法
IF 1.6 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2022-01-01 DOI: 10.1051/epjam/2021011
Ronald Aznavourian, S. Guenneau, B. Ungureanu, J. Marot
In the framework of wave propagation, finite difference time domain (FDTD) algorithms, yield high computational time. We propose to use morphing algorithms to deduce some approximate wave pictures of their interactions with fluid-solid structures of various shapes and different sizes deduced from FDTD computations of scattering by solids of three given shapes: triangular, circular and elliptic ones. The error in the L2 norm between the FDTD solution and approximate solution deduced via morphing from the source and destination images are typically less than 1% if control points are judiciously chosen. We thus propose to use a morphing algorithm to deduce approximate wave pictures: at intermediate time steps from the FDTD computation of wave pictures at a time step before and after this event, and at the same time step, but for an average frequency signal between FDTD computation of wave pictures with two different signal frequencies. We stress that our approach might greatly accelerate FDTD computations as discretizations in space and time are inherently linked via the Courant–Friedrichs–Lewy stability condition. Our approach requires some human intervention since the accuracy of morphing highly depends upon control points, but compared to the direct computational method our approach is much faster and requires fewer resources. We also compared our approach to some neural style transfer (NST) algorithm, which is an image transformation method based on a neural network. Our approach outperforms NST in terms of the L2 norm, Mean Structural SIMilarity, expected signal to error ratio.
在波传播的框架下,时域有限差分(FDTD)算法计算时间长。我们建议使用变形算法来推导出它们与不同形状和不同尺寸的流固结构相互作用的一些近似波图,这些波图是从三角形、圆形和椭圆形三种给定形状的固体散射的FDTD计算中推导出来的。如果明智地选择控制点,则FDTD解与通过源图像和目标图像的变形推导出的近似解之间的L2范数误差通常小于1%。因此,我们建议使用一种变形算法来推导近似的波图:在中间时间步长,从该事件之前和之后的时间步长的波图的FDTD计算,以及在同一时间步长,但对于平均频率信号之间的FDTD计算具有两个不同信号频率的波图。我们强调,我们的方法可以大大加快时域有限差分计算,因为空间和时间的离散化是通过Courant-Friedrichs-Lewy稳定性条件固有地联系在一起的。我们的方法需要一些人为干预,因为变形的准确性高度依赖于控制点,但与直接计算方法相比,我们的方法更快,需要更少的资源。我们还将该方法与一些基于神经网络的图像变换方法——神经风格迁移(NST)算法进行了比较。我们的方法在L2范数、平均结构相似性、预期信号误差率方面优于NST。
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引用次数: 0
Graded elastic meta-waveguides for rainbow reflection, trapping and mode conversion 用于彩虹反射、捕获和模式转换的梯度弹性元波导
IF 1.6 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2022-01-01 DOI: 10.1051/epjam/2022004
J. D. De Ponti, L. Iorio, R. Ardito
Precise control of elastic waves is a challenge for many applications in the field of mechanical vibrations, ultrasonic inspection, and energy harvesting. Graded arrays of resonators on elastic substrates recently revealed superior performances for broadband wave trapping and mode conversion. In this study we present elastic waveguides able to govern waves at different scales exploiting rainbow reflection, trapping and mode conversion. We investigate whether these mechanisms, and the associated control, can be used for energy harvesting or signal conversion devices.
弹性波的精确控制是机械振动、超声波检测和能量收集领域许多应用的挑战。弹性衬底上的梯度阵列谐振器在宽带波捕获和模式转换方面表现出优异的性能。在这项研究中,我们提出了弹性波导,可以利用彩虹反射、捕获和模式转换来控制不同尺度的波。我们研究这些机制,以及相关的控制,是否可以用于能量收集或信号转换装置。
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引用次数: 3
High-sensitivity in various gyrator-based circuits with exceptional points of degeneracy 具有特殊简并点的各种陀螺电路的高灵敏度
IF 1.6 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2022-01-01 DOI: 10.1051/epjam/2022005
K. Rouhi, A. Nikzamir, A. Figotin, F. Capolino
Exceptional points of degeneracy (EPD) can enhance the sensitivity of circuits by orders of magnitude. We show various configurations of coupled LC resonators via a gyrator that support EPDs of second and third-order. Each resonator includes a capacitor and inductor with a positive or negative value, and the corresponding EPD frequency could be real or imaginary. When a perturbation occurs in the second-order EPD gyrator-based circuit, we show that there are two real-valued frequencies shifted from the EPD one, following a square root law. This is contrary to what happens in a Parity-Time (PT) symmetric circuits where the two perturbed resonances are complex valued. We show how to get a stable EPD by coupling two unstable resonators, how to get an unstable EPD with an imaginary frequency, and how to get an EPD with a real frequency using an asymmetric gyrator. The relevant Puiseux fractional power series expansion shows the EPD occurrence and the circuit's sensitivity to perturbations. Our findings pave the way for new types of high-sensitive devices that can be used to sense physical, chemical, or biological changes.
异常简并点(EPD)可以使电路的灵敏度提高几个数量级。我们通过一个支持二阶和三阶epd的旋转器展示了耦合LC谐振器的各种配置。每个谐振器包括一个电容和一个正负值的电感,相应的EPD频率可以是实的也可以是虚的。当二阶EPD旋转电路中出现扰动时,我们证明了有两个实值频率从EPD偏移,遵循平方根定律。这与奇偶时间(PT)对称电路中发生的情况相反,其中两个摄动共振是复值的。我们展示了如何通过耦合两个不稳定谐振器获得稳定的EPD,如何获得虚频率的不稳定EPD,以及如何使用非对称旋转器获得实频率的EPD。相关的普塞分数阶幂级数展开式显示了EPD的发生和电路对微扰的敏感性。我们的发现为新型高灵敏度设备铺平了道路,这些设备可用于感知物理、化学或生物变化。
{"title":"High-sensitivity in various gyrator-based circuits with exceptional points of degeneracy","authors":"K. Rouhi, A. Nikzamir, A. Figotin, F. Capolino","doi":"10.1051/epjam/2022005","DOIUrl":"https://doi.org/10.1051/epjam/2022005","url":null,"abstract":"Exceptional points of degeneracy (EPD) can enhance the sensitivity of circuits by orders of magnitude. We show various configurations of coupled LC resonators via a gyrator that support EPDs of second and third-order. Each resonator includes a capacitor and inductor with a positive or negative value, and the corresponding EPD frequency could be real or imaginary. When a perturbation occurs in the second-order EPD gyrator-based circuit, we show that there are two real-valued frequencies shifted from the EPD one, following a square root law. This is contrary to what happens in a Parity-Time (PT) symmetric circuits where the two perturbed resonances are complex valued. We show how to get a stable EPD by coupling two unstable resonators, how to get an unstable EPD with an imaginary frequency, and how to get an EPD with a real frequency using an asymmetric gyrator. The relevant Puiseux fractional power series expansion shows the EPD occurrence and the circuit's sensitivity to perturbations. Our findings pave the way for new types of high-sensitive devices that can be used to sense physical, chemical, or biological changes.","PeriodicalId":43689,"journal":{"name":"EPJ Applied Metamaterials","volume":"1 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"57823537","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Morphology dependence of nanoparticle-on-mirror geometries: A quasinormal mode analysis 纳米粒子对镜面几何形状的形态学依赖性:准正态模态分析
IF 1.6 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2022-01-01 DOI: 10.1051/epjam/2022002
K. Bedingfield, E. Elliott, N. Kongsuwan, J. Baumberg, A. Demetriadou
Plasmonic nanoantennas are able to produce extreme enhancements by concentrating electromagnetic fields into sub-wavelength volumes. Recently, one of the most commonly used nanoantennas is the nanoparticle-on-mirror geometry, which allowed for the room temperature strong coupling of a single molecule. Very few studies offer analysis of near-field mode decompositions, and they mainly focus on spherical and/or cylindrically-faceted nanoparticle-on-mirror geometries. Perfectly spherical nanoparticles are not easy to fabricate, with recent publications revealing that a rhombicuboctahedron is a commonly occurring nanoparticle shape – due to the crystalline nature of metallic nanoparticles. In this paper, we perform a quasi-normal mode analysis for the rhombicuboctahedron-on-mirror nanoantenna and map the field distributions of each mode. We examine how the geometry of the cavity defines the near-field distribution and energies of the modes, and we show that in some cases the mode degeneracies break. This has a significant impact on the radiative emission and far-field profile of each mode, which are measured experimentally. Understanding how realistic nanoantenna geometries behave in the near-field and far-field helps us design antennas with specific properties for controlling and sensing quantum emitters in plasmonic systems.
等离子体纳米天线能够通过将电磁场集中到亚波长体积中产生极大的增强。最近,最常用的纳米天线之一是镜面纳米粒子几何结构,它允许单分子在室温下强耦合。很少有研究提供近场模式分解的分析,它们主要集中在球面和/或圆柱面纳米颗粒在镜子上的几何形状上。完美的球形纳米颗粒并不容易制造,最近的出版物表明,由于金属纳米颗粒的结晶性质,菱形六面体是一种常见的纳米颗粒形状。本文对镜上菱形面纳米天线进行了准正态模态分析,并绘制了各模态的场分布。我们研究了腔的几何形状如何定义模态的近场分布和能量,并表明在某些情况下模态简并破坏。这对实验测量的各模式的辐射发射和远场分布有重要影响。了解实际的纳米天线几何形状在近场和远场中的表现有助于我们设计具有特定特性的天线,用于控制和传感等离子体系统中的量子发射器。
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引用次数: 4
How to achieve exceptional points in coupled resonators using a gyrator or PT-symmetry, and in a time-modulated single resonator: high sensitivity to perturbations 如何在使用旋转器或pt对称的耦合谐振器中实现特殊点,以及在时间调制的单谐振器中:对扰动的高灵敏度
IF 1.6 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2022-01-01 DOI: 10.1051/epjam/2022006
A. Nikzamir, K. Rouhi, A. Figotin, F. Capolino
We study the rise of exceptional points of degeneracy (EPD) in various distinct circuit configurations such as gyrator-based coupled resonators, coupled resonators with PT-symmetry, and in a single resonator with a time-varying component. In particular, we analyze their high sensitivity to changes in resistance, capacitance, and inductance and show the high sensitivity of the resonance frequency to perturbations. We also investigate stability and instability conditions for these configurations; for example, the effect of losses in the gyrator-based circuit leads to instability, and it may break the symmetry in the PT-symmetry-based circuit, also resulting in instabilities. Instability in the PT-symmetry circuit is also generated by breaking PT-symmetry when one element (e.g., a capacitor) is perturbed due to sensing. We have turned this instability “inconvenience” to an advantage, and we investigate the effect of nonlinear gain in the PT-symmetry coupled-resonator circuit and how this leads to an oscillator with oscillation frequency very sensitive to perturbation. The circuits studied in this paper have the potential to lead the way for a more efficient generation of high-sensitivity sensors that can detect very small changes in chemical, biological, or physical quantities.
我们研究了在各种不同的电路结构中异常简并点(EPD)的上升,例如基于旋转器的耦合谐振器,具有pt对称的耦合谐振器,以及具有时变元件的单个谐振器。特别地,我们分析了它们对电阻、电容和电感变化的高灵敏度,并显示了谐振频率对微扰的高灵敏度。我们还研究了这些构型的稳定性和不稳定性条件;例如,在基于旋转器的电路中,损耗的影响会导致不稳定,在基于pt对称的电路中,损耗可能会破坏对称性,也会导致不稳定。当一个元件(例如电容器)由于感应而受到扰动时,也会破坏pt对称性,从而产生pt对称性电路的不稳定性。我们已经将这种不稳定性“不便”转化为优势,我们研究了非线性增益在pt对称耦合谐振器电路中的影响,以及这如何导致振荡频率对扰动非常敏感的振荡器。本文研究的电路有可能引领更高效的高灵敏度传感器的产生,这种传感器可以检测化学、生物或物理量的微小变化。
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引用次数: 5
Metamaterials simulation for thermal diffusers 热扩散器的超材料模拟
IF 1.6 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2022-01-01 DOI: 10.1051/epjam/2022017
Luis Alfonso Nuñez-Betancourt, J. Matutes-Aquino
The heat extraction efficiency of a cylindrical diffuser can be optimized by applying differential geometry [J.-P. Huang, Theoretical Thermotics: Transformation Thermotics and Extended Theories for Thermal Metamaterials (Springer, 2020)], in order to find a metamaterial design. That can be done by coupling a thermally insulating material (polytetrafluoroethylene) with a high thermal conductivity material (copper) where the heat flow is directed. By controlling the distance between the isothermal contours, to extract the heat while maintaining a constant temperature gradient along the diffuser avoiding heat accumulation.
应用微分几何方法可以优化圆柱扩散器的抽热效率[j]。黄,理论热学:热超材料的转换热学和扩展理论(b施普林格,2020)],以找到一种超材料设计。这可以通过将隔热材料(聚四氟乙烯)与高导热材料(铜)耦合来实现,其中热流是定向的。通过控制等温等温线之间的距离,以提取热量,同时保持沿扩散器恒定的温度梯度,避免热量积聚。
{"title":"Metamaterials simulation for thermal diffusers","authors":"Luis Alfonso Nuñez-Betancourt, J. Matutes-Aquino","doi":"10.1051/epjam/2022017","DOIUrl":"https://doi.org/10.1051/epjam/2022017","url":null,"abstract":"The heat extraction efficiency of a cylindrical diffuser can be optimized by applying differential geometry [J.-P. Huang, Theoretical Thermotics: Transformation Thermotics and Extended Theories for Thermal Metamaterials (Springer, 2020)], in order to find a metamaterial design. That can be done by coupling a thermally insulating material (polytetrafluoroethylene) with a high thermal conductivity material (copper) where the heat flow is directed. By controlling the distance between the isothermal contours, to extract the heat while maintaining a constant temperature gradient along the diffuser avoiding heat accumulation.","PeriodicalId":43689,"journal":{"name":"EPJ Applied Metamaterials","volume":"1 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"57823834","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
EPJ Applied Metamaterials
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