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arXiv 2011.04799physics.optics
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经典相位显微镜精度的基本界限

Fundamental bounds on the precision of classical phase microscopes

Dorian Bouchet, Jonathan Dong, Dante Maestre, Thomas Juffmann

摘要:

已经设计了各种各样的成像系统来测量相位变化,其应用范围从物理学到生物学和医学。在这项工作中,我们从理论上比较与经典的相位显微镜技术,在散粒噪声限制操作的相位估计的精度。我们展示了如何计算的Cramér-Rao界的任何线性光学系统,包括相衬显微镜,相移全息,空间光干涉显微镜,和相位成像波前的局部优化。通过这些例子,我们展示了如何将这个一般的框架可以应用于经典的相位显微镜的设计和优化。我们的研究结果表明,波前整形需要设计具有最佳相位精度的相位显微镜。

英文摘要:

A wide variety of imaging systems have been designed to measure phase variations, with applications from physics to biology and medicine. In this work, we theoretically compare the precision of phase estimations achievable with classical phase microscopy techniques, operated at the shot-noise limit. We show how the Cramér-Rao bound is calculated for any linear optical system, including phase-contrast microscopy, phase-shifting holography, spatial light interference microscopy, and local optimization of wavefronts for phase imaging. Through these examples, we demonstrate how this general framework can be applied for the design and optimization of classical phase microscopes. Our results show that wavefront shaping is required to design phase microscopes with optimal phase precision.

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