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场角动量变换作为微球辅助显微镜的分辨率判据

Field Angular Momentum Transformation as a Resolution Criterion for Microsphere-assisted microscopy

Bekirov Arlen

arXiv 2609.17214首次发表:更新:

发表机构

Faculty of Physics, Lomonosov Moscow State University(莫斯科国立大学物理系)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文提出以源场与总粒子场角动量平方比作为微球辅助显微镜的分辨率判据,证明分辨率由激发米氏模式数决定,并与数值模拟和经典极限吻合。

AI 中文摘要

本文对微粒的分辨能力随其折射率和尺寸参数的变化进行了序列分析。我们证明,对于非相干点源,微粒的分辨率从根本上由激发的米氏模式数量决定。基于这一机制,我们提出了一种新颖的定量评估框架,该框架通过源场的平方角动量与总粒子场(由源场和散射场的叠加组成)的平方角动量之比来定义空间分辨率极限。分析结果与数值模拟及经典极限均表现出良好的一致性。

英文摘要

This paper presents a sequential analysis of the resolving power of a microparticle as a function of its refractive index and size parameter. We demonstrate that the resolution of a microparticle for incoherent point sources is fundamentally determined by the number of excited Mie modes. Based on this mechanism, we propose a novel quantitative assessment framework that defines the spatial resolution limit via the ratio of the squared field angular momentum of the source to that of the total particle field (comprising the superposition of the source and scattered fields). The analytical results demonstrate good agreement with both numerical modeling and classical limits.

论文原文

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