论文标题

通过本地保护法与光 - 互动的计算界限

Computational bounds to light-matter interactions via local conservation laws

论文作者

Kuang, Zeyu, Miller, Owen D.

论文摘要

我们开发了一个计算框架,以识别与光结合相互作用的界限,源自嵌入在麦克斯韦方程中的局部保护定律的基于极化 - 电流的公式。我们提出了一种仅施加最大违反约束的迭代方法,从而可以快速收敛到全球界限。我们的框架可以将界限与编码特定线性操作员的任何散点器的最小尺寸(仅鉴于其材料属性)的最小尺寸,因为我们为离散傅立叶变换的光学计算所证明。它进一步解决了远场散射特性上的界限,而先前的边界差异。

We develop a computational framework for identifying bounds to light-matter interactions, originating from polarization-current-based formulations of local conservation laws embedded in Maxwell's equations. We propose an iterative method for imposing only the maximally violated constraints, enabling rapid convergence to global bounds. Our framework can identify bounds to the minimum size of any scatterer that encodes a specific linear operator, given only its material properties, as we demonstrate for the optical computation of a discrete Fourier transform. It further resolves bounds on far-field scattering properties over any arbitrary bandwidth, where previous bounds diverge.

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