Scattering information obtained by optical microscopy: Differential dynamic microscopy and beyond

Fabio Giavazzi, Doriano Brogioli, Veronique Trappe, Tommaso Bellini, and Roberto Cerbino
Phys. Rev. E 80, 031403 – Published 21 September 2009

Abstract

We describe the use of a bright-field microscope for dynamic light scattering experiments on weakly scattering samples. The method is based on collecting a time sequence of microscope images and analyzing them in the Fourier space to extract the characteristic time constants as a function of the scattering wave vector. We derive a theoretical model for microscope imaging that accounts for (a) the three-dimensional nature of the sample, (b) the arbitrary coherence properties of the light source, and (c) the effect of the finite numerical aperture of the microscope objective. The model is tested successfully against experiments performed on a colloidal dispersion of small spheres in water, by means of the recently introduced differential dynamic microscopy technique [R. Cerbino and V. Trappe, Phys. Rev. Lett. 100, 188102 (2008)]. Finally, we extend our model to the class of microscopy techniques that can be described by a linear space-invariant imaging of the density of the scattering centers, which includes, for example, dynamic fluorescence microscopy.

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  • Received 22 May 2009

DOI:https://doi.org/10.1103/PhysRevE.80.031403

©2009 American Physical Society

Authors & Affiliations

Fabio Giavazzi1,*, Doriano Brogioli2, Veronique Trappe3, Tommaso Bellini1, and Roberto Cerbino1,†

  • 1Dipartimento di Chimica, Biochimica a Biotecnologie per la Medicina, Università degli Studi di Milano, via Fratelli Cervi 93, Segrate, Milano I-20090, Italy
  • 2Dipartimento di Medicina Sperimentale, Università degli Studi di Milano–Bicocca, via Cadore 48, Monza, Milano I-20052, Italy
  • 3Department of Physics, University of Fribourg, Chemin du Musée 3, CH-1700 Fribourg, Switzerland

  • *fabio.giavazzi@unimi.it
  • roberto.cerbino@unimi.it

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Vol. 80, Iss. 3 — September 2009

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