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Y.H. Kim, G. Voulgaris, and M.A. Goni, 2005, Estimation of
Y.H. Kim, G. Voulgaris, and M.A. Goni, 2005, Estimation of

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... We want to recover g from a small number of measurements F |Γ = Φf in the detector plane, where F |Γ ⊂ F . Φ is a (M ×N ) sensing matrix encoding the Fresnel transform (eq. 2) and the sampling of a subset Γ of M pixels, randomly distributed among the N pixels of the detection array. We want M to be ...
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... crystal space”, while the same portion of the electromagnetic spectrum (limited by the kmax value) is available to an experimentalist. Because of the photonic crystal periodicity, the points in Fourier space separated by integer multiples of the inverse lattice vectors are equivalent to each other. ...
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Super-resolution microscopy

Super-resolution microscopy is a form of light microscopy. Due to the diffraction of light, the resolution of conventional light microscopy is limited as stated by Ernst Abbe in 1873. A good approximation of the resolution attainable is the full width at half maximum (FWHM) of the point spread function, and a precise widefield microscope with high numerical aperture and visible light usually reaches a resolution of ~250 nm.Super-resolution techniques allow the capture of images with a higher resolution than the diffraction limit. They fall into two broad categories, ""true"" super-resolution techniques, which capture information contained in evanescent waves, and ""functional"" super-resolution techniques, which use clever experimental techniques and known limitations on the matter being imaged to reconstruct a super-resolution image.True subwavelength imaging techniques include those that utilize the Pendry Superlens and near field scanning optical microscopy, the 4Pi Microscope and structured illumination microscopy technologies like SIM and SMI. However, the majority of techniques of importance in biological imaging fall into the functional category.There are two major groups of methods for functional super-resolution microscopy: Deterministic super-resolution: The most commonly used emitters in biological microscopy, fluorophores, show a nonlinear response to excitation, and this nonlinear response can be exploited to enhance resolution. These methods include STED, GSD, RESOLFT and SSIM. Stochastic super-resolution: The chemical complexity of many molecular light sources gives them a complex temporal behaviour, which can be used to make several close-by fluorophores emit light at separate times and thereby become resolvable in time. These methods include SOFI and all single-molecule localization methods (SMLM) such as SPDM, SPDMphymod, PALM, FPALM, STORM and dSTORM.On October 8th, 2014, the Nobel Prize in Chemistry was awarded to Eric Betzig, W.E. Moerner and Stefan Hell for ""the development of super-resolved fluorescence microscopy,"" which brings ""optical microscopy into the nanodimension"".
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