Enhanced-resolution imaging in complex scattering media is revisited from a parameter estimation perspective. A suitably defined Fisher information is shown to offer useful insights into the limiting precision of parameter estimation in a scattering environment and, hence, into the limiting spatial resolution that can be achieved in imaging-through-scattering settings. The Fisher information that defines this resolution limit via the Cramér–Rao lower bound is shown to scale with the number of adaptively controlled space–time modes of the probe field, suggesting a physically intuitive generalization of the Abbe limit to the spatial resolution attainable for complex scattering systems. In a conventional, direct-imaging microscopy setting, this bound is shown to converge to the canonical Abbe limit.

中文翻译：

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通过散射介质成像：Fisher 信息和广义阿贝极限

从参数估计的角度重新审视复杂散射介质中的增强分辨率成像。适当定义的 Fisher 信息显示出对散射环境中参数估计的限制精度的有用见解，因此，可以在通过散射成像设置中实现的有限空间分辨率中提供有用的见解。通过 Cramér-Rao 下界定义此分辨率极限的 Fisher 信息显示为随探测场的自适应控制时空模式的数量而缩放，这表明阿贝极限对复杂空间分辨率可达到的空间分辨率的物理直观概括散射系统。在传统的直接成像显微镜设置中，此界限显示为收敛到规范阿贝极限。