Localised structures of light in dissipative nonlinear lattice models
耗散非线性晶格模型中光的局域结构
基本信息
- 批准号:EP/D079357/1
- 负责人:
- 金额:$ 17.87万
- 依托单位:
- 依托单位国家:英国
- 项目类别:Research Grant
- 财政年份:2007
- 资助国家:英国
- 起止时间:2007 至 无数据
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
Recently there has been a lot of scientific interest in the possibility of using optical devices for communication and computation. While optical fibre technology enables rapid transmission of email across continents (e.g.~ from the UK to the USA under the Atlantic) the bottle neck is the electrical components required to turn the key strokes of your email into digital signals, into optical pulses, and back again. Although computers process information quickly --the GHz clock speed of your computer implies billions of operations persecond -- optical pulses travel at the speed of light which allowsin principle for millions of billions or even billions of billions ofoperations per second. In principle then, we could overcome the currentbottleneck if we could use optics rather than electronics toperform computation and data processing. This all optical computing,or `light controlling light' has remained a dream of technologists forsome time.Currently the most promissing materials which are able to host the 'optical computer chips' are so-called photonic crystals, where information can be processed and transmitted with localized blobs of light,also called optical solitons. Techniques exist to make tiny lines and defects inside such crystals to form a network type structure for transmission, storage and processing of information carried by light. This research aims tounderstand using mathematics how the precise nature of photonic chipsaffects dynamics of solitons in them. One of the issues tobe addressed is how the solitons are affected bysmall amounts of gain added to overcome the natural loss in suchsystems. Also, what conditions are required to move the optical bitsfrom one site in the crystal to another. We shall also seek toaddress whether, when trying to simulate these processes on acomputer, one needs to capture the precise details of the lattice orwhether one can get away with a much broader scale description of thecrystal's properties. These are fundamental questions which we shallfirst address using simplified situations of a one dimensional crystal, followed by the two-dimensional case, which is the most practical configuration. Ultimately the research is aimed at providing fundamental information on the feasibility of using photonic crystals as an optical computing medium.
最近,人们对使用光学器件进行通信和计算的可能性产生了很大的科学兴趣。光纤技术使电子邮件能够快速跨洲传输(例如~从英国到大西洋下的美国)瓶颈是电子元件,这些元件需要将电子邮件的击键转换为数字信号,转换为光脉冲,然后再转换回来。虽然计算机处理信息的速度很快--你的计算机的GHz时钟速度意味着每秒数十亿次运算--但光脉冲以光速传播,原则上每秒可以进行数百亿甚至数十亿次运算。原则上,如果我们能用光学而不是电子学来进行计算和数据处理,我们就能克服目前的瓶颈。这种全光计算,或者说“光控制光”,一直是技术专家们的梦想。目前,能够承载“光计算机芯片”的最有前途的材料是所谓的光子晶体,在这种晶体中,信息可以被处理,并通过局域化的光团传输,也称为光孤子。现有技术可以在这种晶体内部制造微小的线条和缺陷,以形成网络型结构,用于传输,存储和处理光携带的信息。本研究的目的是用数学的方法来理解光子晶体的精确性质是如何影响其孤子动力学的。其中一个需要解决的问题是,在这种系统中,为了克服自然损耗而增加的少量增益是如何影响孤子的。此外,需要什么条件才能将光比特从晶体中的一个位置移动到另一个位置。我们还将设法解决,当试图在计算机上模拟这些过程时,是否需要捕捉晶格的精确细节,或者是否可以用更广泛的尺度来描述晶体的性质。这些都是基本的问题,我们将首先使用一维晶体的简化情况来解决,然后是二维情况,这是最实际的配置。最终,该研究旨在提供使用光子晶体作为光学计算介质的可行性的基本信息。
项目成果
期刊论文数量(4)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Discrete Snaking: Multiple Cavity Solitons in Saturable Media
离散蛇行:饱和介质中的多腔孤子
- DOI:10.1137/080734297
- 发表时间:2010
- 期刊:
- 影响因子:2.1
- 作者:Yulin A
- 通讯作者:Yulin A
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Alan Champneys其他文献
An Asymptotic Analysis of Spike Self-Replication and Spike Nucleation of Reaction-Diffusion Patterns on Growing 1-D Domains
- DOI:
10.1007/s11538-025-01418-0 - 发表时间:
2025-02-24 - 期刊:
- 影响因子:2.200
- 作者:
Chunyi Gai;Edgardo Villar-Sepúlveda;Alan Champneys;Michael J. Ward - 通讯作者:
Michael J. Ward
Computation of Turing Bifurcation Normal Form for n-Component Reaction-Diffusion Systems
n元反应扩散系统图灵分岔范式的计算
- DOI:
- 发表时间:
2023 - 期刊:
- 影响因子:2.7
- 作者:
Edgardo Villar;Alan Champneys - 通讯作者:
Alan Champneys
Alan Champneys的其他文献
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{{ truncateString('Alan Champneys', 18)}}的其他基金
Resilience and Robustness of Dynamic Manufacturing Supply Networks
动态制造供应网络的弹性和稳健性
- 批准号:
EP/K031686/1 - 财政年份:2013
- 资助金额:
$ 17.87万 - 项目类别:
Research Grant
University of Bristol Bridging the Gaps Cross-Disciplinary Feasibility Account
布里斯托大学弥合跨学科可行性账户
- 批准号:
EP/H024786/1 - 财政年份:2009
- 资助金额:
$ 17.87万 - 项目类别:
Research Grant
Virtual Interface Centre between Mathematics, Engineering and Computer Science
数学、工程和计算机科学之间的虚拟接口中心
- 批准号:
EP/E022685/1 - 财政年份:2007
- 资助金额:
$ 17.87万 - 项目类别:
Research Grant
Localised modes in discrete lattices
离散晶格中的局域模式
- 批准号:
EP/D065623/1 - 财政年份:2006
- 资助金额:
$ 17.87万 - 项目类别:
Research Grant
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