تقرير
Fundamental bounds on the precision of iSCAT, COBRI and dark-field microscopy for 3D localization and mass photometry
| العنوان: | Fundamental bounds on the precision of iSCAT, COBRI and dark-field microscopy for 3D localization and mass photometry |
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| المؤلفون: | Dong, Jonathan, Maestre, Dante, Conrad-Billroth, Clara, Juffmann, Thomas |
| سنة النشر: | 2021 |
| المجموعة: | Physics (Other) Statistics |
| مصطلحات موضوعية: | Physics - Optics, Statistics - Applications |
| الوصف: | Interferometric imaging is an emerging technique for particle tracking and mass photometry. Mass or position are estimated from weak signals, coherently scattered from nanoparticles or single molecules, and interfered with a co-propagating reference. In this work, we perform a statistical analysis and derive lower bounds on the measurement precision of the parameters of interest from shot-noise limited images. This is done by computing the classical Cram\'er-Rao bound for localization and mass estimation, using a precise vectorial model of interferometric imaging techniques. We then derive fundamental bounds valid for any imaging system, based on the quantum Cram\'er-Rao formalism. This approach enables a rigorous and quantitative comparison of common techniques such as interferometric scattering microscopy (iSCAT), Coherent Brightfield microscopy (COBRI), and dark-field microscopy. In particular, we demonstrate that the light collection geometry in iSCAT greatly increases the axial position sensitivity, and that the Quantum Cram\'er-Rao bound for mass estimation yields a minimum relative estimation error of $\sigma_m/m=1/(2\sqrt{N})$, where $N$ is the number of collected scattered photons. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1361-6463/ac0f22 |
| URL الوصول: | http://arxiv.org/abs/2106.10758 |
| رقم الأكسشن: | edsarx.2106.10758 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1361-6463/ac0f22 |
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