宏观散射体极化率的基本界限
Fundamental Bounds on the Polarizability of Macroscopic Scatterers
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中文总结 AI 辅助
该研究通过积分方程与二次规划对偶形式，推导出宏观散射体极化率张量分量的基本上界，并建立直观可视化，为评估材料与设计提供绝对性能基准。
中文摘要 AI 辅助
极化率预测物体对入射电磁场的响应、小粒子之间的相互作用或施加于其上的光学力。极化率决定了人造材料或超表面的有效介质特性。尽管在这些领域都取得了显著进展，但尚不清楚此类相互作用强度的极限是什么，更具体地说，对于未知且设计好的粒子将占据的给定空间区域，其极化率的上界是什么。本工作通过积分方程将电磁场描述与二次规划的其对偶形式联系起来，推导出所有四个极化率张量的分量或其特定组合的基本界限。特别是，该工作建立了关于强极化率意味着什么以及它可能有多强的直观可视化。所发展的基本界限还回答了对于给定的极化率需求，哪些材料和域是最佳的。这些发现建立了一个多功能平台，可以容纳对极化体各种广泛的需求，提供了其性能的绝对度量，可据此比较人工或自动化设计程序的结果。
英文摘要
Polarizability predicts how an object responds to an incident electromagnetic field, the interactions between small particles, or the optical forces exerted upon them. Polarizability is responsible for the effective-medium properties of artificial materials or metasurfaces. Despite significant progress in all these areas, it is unclear what the limits of the strength of such interactions are or, more specifically, what the upper bounds on the polarizability of a given spatial region that an unknown and designed particle would occupy are. This work connects the electromagnetic field description via an integral equation with a dual formulation of quadratic programming to derive fundamental bounds on components of all four polarizability tensors or on their specific combinations. In particular, the work establishes an intuitive visualization of what strong polarizability means and how strong it can be. The developed fundamental bound also answers which materials and domains are best for the given demands on polarizability. These findings establish a versatile platform that can accommodate a wide range of demands on polarizable bodies, providing an absolute measure of their performance against which the results of human-powered or automated design procedures can be compared.
发表机构
- Czech Technical University in Prague（布拉格捷克技术大学）
机构由 AI 辅助整理，请以论文原文为准。
