Hierarchical mean-field T operator bounds on electromagnetic scattering: Upper bounds on near-field radiative Purcell enhancement
Hierarchical mean-field T operator bounds on electromagnetic scattering: Upper bounds on near-field radiative Purcell enhancement
复制标题
电磁散射的分层平均场 T 算子界限：近场辐射 Purcell 增强的上限
DOI：
10.1103/physrevresearch.2.043398
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发表时间：
2020
影响因子：
4.2
通讯作者：
Rodriguez, Alejandro W.
中科院分区：
文献类型：
--
作者：
Molesky, Sean;Chao, Pengning;Rodriguez, Alejandro W.
我们提出了一个通用的框架，基于拉格朗日对偶，计算电磁散射问题的广泛的物理边界。也就是说，我们表明，通过投影到越来越本地化的空间集群，中心的散射理论的平等theoperator的定义，可以用来生成一个层次的越来越准确的平均场近似（强制执行本地功率守恒），自然补充的标准设计问题，优化一些目标相对于结构自由度。利用该方法提供的对物理学局部违反的空间范围的系统控制，概念验证应用程序可以最大化结构化介质附近偶极电流源的辐射珀塞尔增强，这是许多传感和量子技术的核心效应，产生的边界通常比过去的结果更紧一个数量级，突出了对能够准确处理不同域和场定位长度尺度的理论的需要。类似于相关的区域分解和多重网格概念，类似的结构在波动物理学的任何分支都是可能的，为研究基本极限提供了统一的方法。
We present a general framework, based on Lagrange duality, for computing physical bounds on a wide array of electromagnetic scattering problems. Namely, we show that, via projections into increasingly localized spatial clusters, the central equality of scattering theory—the definition of theoperator—can be used to generate a hierarchy of increasingly accurate mean-field approximations (enforcing local power conservation) that naturally complement the standard design problem of optimizing some objective with respect to structural degrees of freedom. Utilizing the systematic control over the spatial extent of local violations of physics offered by the approach, proof-of-concept application to maximizing radiative Purcell enhancement for a dipolar current source in the vicinity of a structured medium, an effect central to many sensing and quantum technologies, yields bounds that are often more than an order of magnitude tighter than past results, highlighting the need for a theory capable of accurately handling differing domain and field-localization length scales. Similar to related domain decomposition and multigrid notions, analogous constructions are possible in any branch of wave physics, providing a unified approach for investigating fundamental limits.