AI 中文总结
该研究提出信息论框架，结合简化法布里-珀罗模型，用费希尔信息量化亚波长狭缝共振参数推断可靠性，扩展到多种噪声场景，为亚波长谐振器逆设计提供新途径。
AI 中文摘要
我们提出了一种信息论框架，用于分析包含对称内部脊的亚波长狭缝的异常光学透射。将全波有限元光谱与简化的法布里-珀罗模型相结合，其中脊界面引入了与模式阻抗失配和倏逝场加载相关的无功不连续相位。费希尔信息用于量化从透射测量中推断共振位置和几何参数的可靠程度。对于白高斯噪声下的孤立洛伦兹共振，当振幅、采样和噪声固定时，共振中心的费希尔信息与品质因数呈线性缩放。我们还将该公式扩展到相关高斯噪声和泊松散粒噪声，阐明了在实际实验条件下，品质因数最高的共振未必是信息最丰富的原因。该框架明确了脊诱导的有效腔修正的解释，为费希尔信息驱动的亚波长谐振器逆设计提供了降阶途径。
英文摘要
We present an information theoretic framework for extraordinary optical transmission through a subwavelength slit containing symmetric internal ridges. Full wave finite element spectra are interpreted with a reduced Fabry Perot model in which the ridge interfaces introduce a reactive discontinuity phase associated with modal impedance mismatch and evanescent field loading. Fisher information is used to quantify how reliably resonance positions and geometric parameters can be inferred from transmission measurements. For an isolated Lorentzian resonance under white Gaussian noise, the Fisher information for the resonance center scales linearly with the quality factor when amplitude, sampling, and noise are fixed. We also extend the formulation to correlated Gaussian noise and Poisson shot noise, showing why the resonance with the highest Q is not necessarily the most informative under realistic experimental conditions. The framework clarifies the interpretation of ridge induced effective cavity corrections and provides a reduced order route toward Fisher information driven inverse design of subwavelength resonators.
