Imaging Multiple Colloidal Particles by Fitting Digital Holograms to Electromagnetic Scattering Solutions

Physics – Optics

Scientific paper

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19 pages, 6 figures, 1 table

Scientific paper

Digital holographic microscopy is a fast three-dimensional (3D) imaging tool with many applications in soft matter physics. Recent studies have shown that digital holograms can be fit to electromagnetic scattering solutions to obtain the 3D positions of isolated colloidal spheres with nanometer precision and millisecond temporal resolution. Here we describe the results of new techniques that extend the range of systems that can be imaged through fitting. We show that an exact multisphere superposition scattering solution can be used to fit holograms of colloidal clusters containing up to six spheres. We also introduce an approximate and computationally simpler solution, Mie superposition, that is valid for multiple spheres spaced several wavelengths or more from one another. We show that this method can be used to fit holograms of several spheres on an emulsion droplet, and we give a quantitative criterion for assessing its validity.

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