OP: High Accuracy Modeling of Graphene Plasmonics in Three Dimensional Grating Structures

OP:三维光栅结构中石墨烯等离子体的高精度建模

基本信息

  • 批准号:
    1813033
  • 负责人:
  • 金额:
    $ 27万
  • 依托单位:
  • 依托单位国家:
    美国
  • 项目类别:
    Standard Grant
  • 财政年份:
    2018
  • 资助国家:
    美国
  • 起止时间:
    2018-07-15 至 2023-06-30
  • 项目状态:
    已结题

项目摘要

Since it was first isolated experimentally in 2004, graphene (a single layer of carbon atoms in a honeycomb lattice) has transformed the fields of plasmonics and photonics. Graphene has remarkable mechanical, chemical, and electronic properties, and is finding its way into devices of engineering interest from communications and military capabilities to medical sciences and biological sensing. Of particular note is graphene's semi-metallic character which permits one to tune its electrical properties. It is not surprising that extensive investigation of graphene has been conducted in the engineering community, however, there is very little to report in the applied mathematics literature. There is an opportunity to make valuable contributions. The goal of this project is to provide a rigorous mathematical framework for the study of graphene in grating structures and to describe a computational framework for highly accurate simulation of these models. With these, the project aims to guide the design of engineers to deliver devices of interest in a greatly expedited fashion.The family of High-Order Perturbation of Surfaces (HOPS) methods, which the Principal Investigator has developed over the past decade, are an ideal choice for the model at hand. However, further algorithmic enhancements and extensions are required to produce tools which will continue to be useful to practitioners. In particular, the project will advance the state of the art in the modeling, numerical simulation, and design of grating structures featuring two-dimensional materials with the following objectives: (1) While materials such as graphene have been incorporated into the existing models in two-dimensional, scalar configurations, these efforts must be extended to the case of three-dimensional vector electromagnetic simulations; (2) The Method of Transformed Field Expansions (TFE) is a stabilized HOPS algorithm with which one can not only derive rigorous existence, uniqueness, and analyticity results, but also provide highly accurate numerical approximations, and these recursions must be extended to the three-dimensional vector electromagnetic case; (3) The surface formulations advocated by the PI are affected by the choice of surface integral operator relating Dirichlet and Neumann traces, and the project will investigate the performance of Impedance-Impedance Operators which are free of the "Dirichlet Eigenvalues" which plague the straightforward Dirichlet-Neumann Operators used in previous implementations; (4) the PI and collaborators recently studied the statistical properties of scattering by random rough gratings and will include two-dimensional materials in three-dimensional structures into this framework as part of the project; and (5) In addition to using these HOPS methods to identify grating structures featuring graphene, the project also aims to design them for optimal performance.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.
自2004年首次通过实验分离出来以来,石墨烯(蜂窝晶格中的单层碳原子)已经改变了等离子体和光子学领域。石墨烯具有卓越的机械,化学和电子特性,并且正在寻找从通信和军事能力到医学科学和生物传感的工程感兴趣的设备。特别值得注意的是石墨烯的半金属特性,这使得人们可以调整其电学特性。工程界对石墨烯进行了广泛的研究并不奇怪,然而,在应用数学文献中几乎没有报道。有机会做出宝贵的贡献。该项目的目标是为光栅结构中石墨烯的研究提供严格的数学框架,并描述用于高度精确模拟这些模型的计算框架。有了这些,该项目的目的是指导工程师的设计,提供感兴趣的设备在一个大大加快fashion.The家庭的高阶扰动表面(HOPS)的方法,其中首席研究员在过去十年中开发的,是一个理想的选择,为手头的模型。然而,需要进一步的算法增强和扩展,以产生对从业人员仍然有用的工具。特别是,该项目将推进以二维材料为特征的光栅结构的建模、数值模拟和设计的最新技术水平,其目标如下:(1)虽然石墨烯等材料已经被纳入二维标量配置的现有模型中,但这些努力必须扩展到三维矢量电磁模拟的情况;(2)变换场展开法(TFE)是一种稳定的HOPS算法,它不仅能得到严格的存在性、唯一性和解析性结果,而且能提供高精度的数值逼近,这些递推式必须推广到三维矢量电磁场的情形;(3)PI所提倡的曲面公式受到与Dirichlet和Neumann迹相关的曲面积分算子的选择的影响,该项目将研究阻抗阻抗算子的性能,这些算子没有困扰直接Dirichlet的"Dirichlet特征值",(4)PI和合作者最近研究了随机粗糙光栅散射的统计特性,并将三维结构中的二维材料作为项目的一部分纳入该框架;和(5)除了使用这些HOPS方法来识别以石墨烯为特征的光栅结构外,这个奖项反映了NSF的法定使命,并通过使用基金会的知识价值和更广泛的影响审查标准进行评估,被认为是值得支持的。

项目成果

期刊论文数量(19)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Modal explicit filtering for large eddy simulation in discontinuous spectral element method
间断谱元法中大涡模拟的模态显式滤波
  • DOI:
    10.1016/j.jcpx.2019.100024
  • 发表时间:
    2019
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Ghiasi, Zia;Komperda, Jonathan;Li, Dongru;Peyvan, Ahmad;Nicholls, David;Mashayek, Farzad
  • 通讯作者:
    Mashayek, Farzad
Simulation of Localized Surface Plasmon Resonances in Two Dimensions via Impedance-Impedance Operators
  • DOI:
    10.1137/20m133066x
  • 发表时间:
    2021-01
  • 期刊:
  • 影响因子:
    0
  • 作者:
    D. Nicholls;Xin Tong
  • 通讯作者:
    D. Nicholls;Xin Tong
On the consistent choice of effective permittivity and conductivity for modeling graphene
关于石墨烯建模中有效介电常数和电导率的一致选择
A Rigorous Numerical Analysis of the Transformed Field Expansion Method for Diffraction by Periodic, Layered Structures
  • DOI:
    10.1137/20m131374x
  • 发表时间:
    2021-01
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Youngjoon Hong;D. Nicholls
  • 通讯作者:
    Youngjoon Hong;D. Nicholls
Sweeping Preconditioners for the Iterative Solution of Quasiperiodic Helmholtz Transmission Problems in Layered Media
  • DOI:
    10.1007/s10915-020-01133-z
  • 发表时间:
    2018-09
  • 期刊:
  • 影响因子:
    2.5
  • 作者:
    D. Nicholls;Carlos P'erez-Arancibia;C. Turc
  • 通讯作者:
    D. Nicholls;Carlos P'erez-Arancibia;C. Turc
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David Nicholls其他文献

An Optical Analysis of Radiation-Induced Damage in Nuclear Reactor Optical Fibres
核反应堆光纤辐射损伤的光学分析
The complex cyanides of chromium(II) and chromium(0)
  • DOI:
    10.1007/bf00618223
  • 发表时间:
    1981-08-01
  • 期刊:
  • 影响因子:
    1.700
  • 作者:
    Janice P. Eaton;David Nicholls
  • 通讯作者:
    David Nicholls
Co-ordination compounds of diacetyldihydrazone and diacetylbis(monomethylhydrazone)
  • DOI:
    10.1007/bf00935930
  • 发表时间:
    1984-04-01
  • 期刊:
  • 影响因子:
    1.700
  • 作者:
    Mark R. Harrison;David Nicholls
  • 通讯作者:
    David Nicholls
Bioenergetic actions of beta-bungarotoxin, dendrotoxin and bee-venom phospholipase A2 on guinea-pig synaptosomes.
β-银环蛇毒素、树蛇毒素和蜂毒磷脂酶 A2 对豚鼠突触体的生物能作用。
  • DOI:
    10.1042/bj2290653
  • 发表时间:
    1985
  • 期刊:
  • 影响因子:
    0
  • 作者:
    David Nicholls;R. Snelling;Oliver;DOLLYt
  • 通讯作者:
    DOLLYt
Evaluating life cycle greenhouse gas emissions from alternative forest residue utilization: Energy and product pathways
评估替代性森林残留物利用的生命周期温室气体排放:能源与产品路径
  • DOI:
    10.1016/j.biombioe.2025.108059
  • 发表时间:
    2025-10-01
  • 期刊:
  • 影响因子:
    5.800
  • 作者:
    Poonam Khatri;Richard Bergman;Prakash Nepal;David Nicholls;Andrew Gray
  • 通讯作者:
    Andrew Gray

David Nicholls的其他文献

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{{ truncateString('David Nicholls', 18)}}的其他基金

Rapid and Robust High Order Spectral Solvers for Learning Photonic Structures
用于学习光子结构的快速、鲁棒的高阶谱求解器
  • 批准号:
    2111283
  • 财政年份:
    2021
  • 资助金额:
    $ 27万
  • 项目类别:
    Standard Grant
OP: High Order Perturbation of Surfaces Methods for Crossed Surface Plasmon Resonance Sensors: Simulation, Validation, and Design
OP:交叉表面等离子共振传感器的表面高阶扰动方法:仿真、验证和设计
  • 批准号:
    1522548
  • 财政年份:
    2015
  • 资助金额:
    $ 27万
  • 项目类别:
    Standard Grant
Collaborative Research: AFfield Expansion Method for Acoustic Scattering from Topography: Extensions to Elasticity and the Inverse Problem
合作研究:地形声学散射的 AF 场展开方法:弹性和反问题的扩展
  • 批准号:
    1115333
  • 财政年份:
    2011
  • 资助金额:
    $ 27万
  • 项目类别:
    Continuing Grant
Numerical Algorithms for the Detection and Simulation of Surface Water Waves
地表水波检测和模拟的数值算法
  • 批准号:
    0810958
  • 财政年份:
    2008
  • 资助金额:
    $ 27万
  • 项目类别:
    Standard Grant
Reading Charles Ives
读查尔斯·艾夫斯
  • 批准号:
    AH/E003958/1
  • 财政年份:
    2007
  • 资助金额:
    $ 27万
  • 项目类别:
    Research Grant
Free Surface Fluid Mechanics and Electromagnetic Scattering: Stable, High-Order Perturbation Techniques
自由表面流体力学和电磁散射:稳定的高阶扰动技术
  • 批准号:
    0537511
  • 财政年份:
    2005
  • 资助金额:
    $ 27万
  • 项目类别:
    Standard Grant
Free Surface Fluid Mechanics and Electromagnetic Scattering: Stable, High-Order Perturbation Techniques
自由表面流体力学和电磁散射:稳定的高阶扰动技术
  • 批准号:
    0406007
  • 财政年份:
    2004
  • 资助金额:
    $ 27万
  • 项目类别:
    Standard Grant
FRG: Collaborative Research: Fully Nonlinear, Three-Dimensional, Surface Water Waves in Arbitrary Depth
FRG:合作研究:任意深度的完全非线性、三维、表面水波
  • 批准号:
    0139822
  • 财政年份:
    2002
  • 资助金额:
    $ 27万
  • 项目类别:
    Standard Grant
High Order Boundary Perturbation Methods for Boundary Value and Free Boundary Problems
边界值和自由边界问题的高阶边界摄动方法
  • 批准号:
    0196452
  • 财政年份:
    2001
  • 资助金额:
    $ 27万
  • 项目类别:
    Standard Grant
High Order Boundary Perturbation Methods for Boundary Value and Free Boundary Problems
边界值和自由边界问题的高阶边界摄动方法
  • 批准号:
    0072462
  • 财政年份:
    2000
  • 资助金额:
    $ 27万
  • 项目类别:
    Standard Grant

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协作研究:SaTC:核心:中:具有灵活隐私建模、机器检查系统设计和准确性优化的差异化私有 SQL
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Modeling the dynamics of belief formation: Towards a computational understanding of the timing and accuracy of probability judgments
对信念形成的动态进行建模:对概率判断的时间和准确性进行计算理解
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