Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fundamental bounds on the precision of iSCAT, COBRI and dark-field
  microscopy for 3D localization and mass photometry   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.

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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex