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arXiv 2309.04701physics.opticsquant-ph

四维扫描透射电子显微镜中的量子与经典Fisher信息

Quantum and classical Fisher information in four-dimensional scanning transmission electron microscopy

Christian Dwyer, David M. Paganin

AI总结:

该研究分析4D-STEM的灵敏度量子极限,发现其测量静电势的量子Fisher信息可匹配实空间相衬成像,用离域散斑探针可接近最优值,但受衍射平面检测限制仅达约一半量子极限,不过能获取更高空间频率信息,结论可推广至同类相干光成像模式。

摘要:

我们分析了四维扫描透射电子显微镜(4D-STEM)的灵敏度量子极限,该技术已成为对包括生物材料及其他辐射敏感材料在内的各类材料进行结构成像的主流方法。4D-STEM是一种间接(计算式)成像技术,它使用扫描电子束,并记录每个束斑位置处动量(衍射)空间中的散射分布。我们发现,在测量样品的静电势时,4D-STEM的量子Fisher信息可与实空间相衬成像的量子Fisher信息相当。使用离域散斑探针可实现接近最优的量子Fisher信息。但由于是在衍射平面进行检测,4D-STEM最终仅能达到约一半的量子极限,而Zernike相衬成像可在光学系统允许的所有空间频率下达到量子极限。另一方面,4D-STEM能获取远超相衬透射电子显微镜(TEM)可及范围的空间频率信息。我们的结论可推广至使用相干标量可见光和X射线的同类成像模式。

英文摘要:

We analyze the quantum limit of sensitivity in four-dimensional scanning transmission electron microscopy (4D-STEM), which has emerged as a favored technique for imaging the structure of a wide variety of materials, including biological and other radiation-sensitive materials. 4D-STEM is an indirect (computational) imaging technique, which uses a scanning beam, and records the scattering distribution in momentum (diffraction) space for each beam position. We find that, in measuring a sample's electrostatic potential, the quantum Fisher information from 4D-STEM can match that from real-space phase-contrast imaging. Near-optimum quantum Fisher information is achieved using a delocalized speckled probe. However, owing to the detection in the diffraction plane, 4D-STEM ultimately enables only about half of the quantum limit, whereas Zernike phase-contrast imaging enables the quantum limit for all spatial frequencies admitted by the optical system. On the other hand, 4D-STEM can yield information on spatial frequencies well beyond those accessible by phase-contrast TEM. Our conclusions extend to analogous imaging modalities using coherent scalar visible light and x-rays.

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