2013
DOI: 10.1103/physrevlett.111.033903
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Interferometric Spectroscopy of Scattered Light Can Quantify the Statistics of Subdiffractional Refractive-Index Fluctuations

Abstract: Despite major importance in physics, biology, and other sciences, optical sensing of nanoscale structures in the far-zone remains an open problem due to the fundamental diffraction limit of resolution. We establish that the expected value of spectral variance (Σ̃2) of a far-field, diffraction-limited microscope image can quantify the refractive-index fluctuations of a label-free, weakly scattering sample at subdiffraction length scales. We report the general expression of Σ̃ for an arbitrary refractive-index d… Show more

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Cited by 71 publications
(91 citation statements)
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“…Optical interference of the backpropagating light results in wavelength-dependent fluctuations in the acquired spectrally resolved microscope image. The standard deviation of these spectra (Σ) quantifies the internal structure of the sample with nanometer sensitivity (22,23). In cells, there are numerous variations in macromolecular density due to the spatial organization of macromolecules.…”
Section: Resultsmentioning
confidence: 99%
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“…Optical interference of the backpropagating light results in wavelength-dependent fluctuations in the acquired spectrally resolved microscope image. The standard deviation of these spectra (Σ) quantifies the internal structure of the sample with nanometer sensitivity (22,23). In cells, there are numerous variations in macromolecular density due to the spatial organization of macromolecules.…”
Section: Resultsmentioning
confidence: 99%
“…Σ, and the disorder strength (L d , which is Σ normalized by sample thickness), are proportional to two crucial characteristics of molecular organization at deeply subdiffractional length scales: the characteristic length scale of macromolecular organization (L c ), and the standard deviation (δn) of the density (22,23). In a fractal media, such as chromatin, the characteristic length scale of macromolecules can be alternatively evaluated through the fractal dimension, D, which is proportional to Σ.…”
Section: Resultsmentioning
confidence: 99%
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