Operator and spectral theory of plasmon resonances for structures with corners and edges

有角和边缘结构的等离激元共振算子和谱理论

• 批准号: 2272111
• 金额: --
• 依托单位: University of Reading
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2019
• 资助国家: 英国
• 起止时间: 2019 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2272111
• 关键词: Operator; spectral; theory; plasmon; resonances

This project aims to investigate the plasmonic eigenvalue problem for objects with corners and edges. Such eigenvalues correspond to surface plasmon resonances, oscillations of electrons, on the interface between different media. The problem will be treated by the use of boundary integral operators.Objectives:(A) To develop the spectral theory for objects with touching corners and edges (for example, bowtie structures).(B) To develop a framework for studying the time-harmonic formulation of the problem for domains with singularities such as corners and edges (as opposed to studying a scale-independent approximation of the problem).

本计画旨在探讨具有角与边之物体之电浆子本征值问题。这样的本征值对应于不同介质之间的界面上的表面等离子体共振、电子振荡。目标：（A）发展具有接触角和边缘的物体（例如蝴蝶结结构）的谱理论。(B)开发一个框架，用于研究具有奇异性（如角和边）的域的问题的时谐公式（而不是研究问题的尺度无关近似）。