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arXiv 2501.09673physics.opticsphysics.chem-ph
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圆柱形波导和孔洞中的相对论电子能量损失谱

Relativistic electron energy-loss spectroscopy in cylindrical waveguides and holes

Álvaro Rodríguez Echarri, Wenhua Zhao, Kurt Busch, F. Javier García de Abajo

AI总结:

本研究提出圆柱对称无限系统电子能量损失谱的通用分析框架,推导垂直电子轨迹的闭式解析解并经数值方法验证,还研究了有限圆柱的端部效应,可用于EELS谱分析与自由电子-光子混合系统设计。

摘要:

快速电子从金属结构附近经过或穿过金属结构,已被证实是研究等离激元以及其他类型受限光学模式的极佳工具,这类模式涉及材料中与电磁场耦合的集体电荷振荡。本研究提出了一个通用分析框架,用于模拟具有圆柱对称性的无限大系统(如纳米线、孔洞和光纤)中的电子能量损失谱(electron energy-loss spectroscopy, EELS)。目前针对平行于平移对称方向运动的电子,EELS理论已较为成熟,而我们推导了垂直电子轨迹下的闭式解析解。通过与基于频域边界元法和间断伽辽金时域有限元法的数值模拟结果对比,这些解析结果得到了验证。借助数值方法,我们还进一步研究了纳米棒等有限尺寸圆柱形物体的端部效应。本次关于自由电子与圆柱对称光子系统相互作用的研究,可应用于EELS谱分析以及自由电子-光子混合系统的设计。

英文摘要:

Swift electrons passing near or through metallic structures have proven to be an excellent tool for studying plasmons and other types of confined optical modes involving collective charge oscillations in the materials hybridized with electromagnetic fields. In this work, we provide a general analytical framework for the simulation of electron energy-loss spectroscopy (EELS) in infinite systems with cylindrical symmetry, such as wires, holes, and optical fibers. While EELS theory is well developed for electrons moving parallel to the direction of translational symmetry, we introduce closed-form analytical solutions for perpendicular electron trajectories. These analytical results are corroborated by comparison to numerical simulations based on a frequency-domain boundary-element method and a discontinuous-Galerkin time-domain finite-element method. Numerical methods further allow us to study termination effects in finite-sized cylindrical objects such as nanorods. The present study of the interaction between free electrons and cylindrically symmetric photonics systems can find application in the analysis of EELS spectra and the design of free-electron--photonic hybrid systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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