Fundamental bounds on the precision of iSCAT, COBRI and dark-field microscopy for 3D localization and mass photometry

Autor(en)

Jonathan Dong, Dante Maestre, Clara Conrad-Billroth, Thomas Juffmann

Abstrakt

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.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation, Department für Strukturbiologie und Computational Biology

Externe Organisation(en)

École polytechnique fédérale de Lausanne, Vienna BioCenter, Vienna Center for Quantum Science and Technology (VCQ)

Journal

Journal of Physics D: Applied Physics

Band

54

Anzahl der Seiten

12

ISSN

0022-3727

DOI

https://doi.org/10.1088/1361-6463/ac0f22

Publikationsdatum

07-2021

Peer-reviewed

Ja

ÖFOS 2012

103021 Optik

Schlagwörter

ASJC Scopus Sachgebiete

Electronic, Optical and Magnetic Materials, Condensed Matter Physics, Surfaces, Coatings and Films, Acoustics and Ultrasonics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/4e6274f2-280b-40d3-a0ab-74c2855b8fca