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Holographic particle characterization uses quantitative analysis of holographic microscopy data to precisely and rapidly measure the diameter and refractive index of individual colloidal spheres in their native media. When this technique is…

Soft Condensed Matter · Physics 2022-10-19 Rafe Abdulali , Lauren E. Altman , David G. Grier

An in-line hologram of a colloidal sphere can be analyzed with the Lorenz-Mie theory of light scattering to measure the sphere's three-dimensional position with nanometer-scale precision while also measuring its diameter and refractive…

Soft Condensed Matter · Physics 2020-12-29 Lauren E. Altman , Rushna Quddus , Fook Chiong Cheong , David G. Grier

Holographic molecular binding assays use holographic video microscopy to directly detect molecules binding to the surfaces of micrometer-scale colloidal beads by monitoring associated changes in the beads' light-scattering properties.…

Soft Condensed Matter · Physics 2020-06-24 Lauren E. Altman , David G. Grier

Digital holographic microscopy is a fast three-dimensional (3D) imaging tool with many applications in soft matter physics. Recent studies have shown that electromagnetic scattering solutions can be fit to digital holograms to obtain the 3D…

We perform light-scattering numerical simulations for two dust populations: (i) consolidated porous particles computed with the discrete dipole approximation (ADDA) and (ii) highly porous aggregate models, including fractal and hierarchical…

The relationship between geometric and dynamic properties of fractal-like aggregates is studied in the continuum mass and momentum-transfer regimes. The synthetic aggregates were generated by a cluster-cluster aggregation algorithm. The…

Soft Condensed Matter · Physics 2013-11-13 Anastasios D. Melas , Lorenzo Isella , Athanasios G. Konstandopoulos , Yannis Drossinos

The Fraunhofer diffraction of quantum particles from materials with sharp electron-density edges or symmetric bond structures is ubiquitous. In contrast, diffraction from atoms with characteristic asymptotically-diffused electron…

We study the electromagnetic behaviour of dense, spherical clusters made of hundreds of plasmonic nanoparticules under illumination by a plane wave. Using high-precision T-matrix numerical calculations, we compute the multipolar response of…

We study the extinction efficiencies as well as scattering properties of particles of different porosity. Calculations are performed for porous pseudospheres with small size (Rayleigh) inclusions using the discrete dipole approximation.…

Astrophysics · Physics 2009-11-13 N. V. Voshchinnikov , G. Videen , Th. Henning

The fractal dimension of large-scale galaxy clustering has been demonstrated to be roughly $D_F \sim 2$ from a wide range of redshift surveys. If correct, this statistic is of interest for two main reasons: fractal scaling is an implicit…

General Relativity and Quantum Cosmology · Physics 2010-10-27 J. R. Mureika

We derive exact strong-contrast expansions for the effective dielectric tensor $\epeff$ of electromagnetic waves propagating in a two-phase composite random medium with isotropic components explicitly in terms of certain integrals over the…

Materials Science · Physics 2009-11-13 Mikael C. Rechtsman , Salvatore Torquato

The method of iterated conformal maps allows to study the harmonic measure of Diffusion Limited Aggregates with unprecedented accuracy. We employ this method to explore the multifractal properties of the measure, including the scaling of…

Statistical Mechanics · Physics 2009-11-07 Mogens H. Jensen , Anders Levermann , Joachim Mathiesen , Itamar Procaccia

We introduce new functionality to treat fractal aggregate aerosol particles within the Virga cloud modeling framework. Previously, the open source cloud modeling code Virga (Batalha et al. 2025), the Python version of EddySed (Ackerman &…

The optical properties of particulate-matter aerosols, within the context of exoplanet and brown dwarf atmospheres, are compared using three different models: Mie theory, Modified Mean Field (MMF) Theory, and Discrete Dipole Approximation…

Earth and Planetary Astrophysics · Physics 2023-12-06 Matt G. Lodge , Hannah R. Wakeford , Zoe M. Leinhardt

In-line holographic microscopy provides an unparalleled wealth of information about the properties of colloidal dispersions. Analyzing one colloidal particle's hologram with the Lorenz-Mie theory of light scattering yields the particle's…

Soft Condensed Matter · Physics 2020-02-25 Lauren E. Altman , David G. Grier

We demonstrate precise measurements of the size and refractive index of individual dimpled colloidal spheres using holographic characterization techniques developed for ideal spheres.

Soft Condensed Matter · Physics 2015-10-28 Mark Hannel , Christine Middleton , David G. Grier

The fractal properties of models of randomly placed $n$-dimensional spheres ($n$=1,2,3) are studied using standard techniques for calculating fractal dimensions in empirical data (the box counting and Minkowski-sausage techniques). Using…

Condensed Matter · Physics 2009-10-28 Daniel A. Hamburger , Ofer Biham , David Avnir

This paper introduces a scalable algorithmic framework (HyperEF) for spectral coarsening (decomposition) of large-scale hypergraphs by exploiting hyperedge effective resistances. Motivated by the latest theoretical framework for…

Machine Learning · Computer Science 2022-12-06 Ali Aghdaei , Zhuo Feng

We demonstrate that a common-line method can assemble a 3D oversampled diffracted intensity distribution suitable for high-resolution structure solution from a set of measured 2D diffraction patterns, as proposed in experiments with an…

Biomolecules · Quantitative Biology 2007-10-16 V. L. Shneerson , A. Ourmazd , D. K. Saldin

In this paper, a novel method for edge detection of microcalcification clusters in mammogram images is presented using the concept of Fractal Dimension and Hurst co-efficient that enables to locate the microcalcifications in the mammograms.…

Computer Vision and Pattern Recognition · Computer Science 2013-05-01 P. Shanmugavadivu , V. Sivakumar
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