We present two complementary algorithms suitable for using focal-plane measurements to control a wavefront corrector with an extremely high-spatial resolution. The algorithms use linear approximations to iteratively minimize the aberrations seen by the focal-plane camera. The first algorithm, Fast & Furious (FF), uses a weak-aberration assumption and pupil symmetries to achieve fast wavefront r...

Holographic speckle is a major impediment to computer-generated holographic (CGH) projections in applications ranging from display, optical tweezers, and machining to optogenetic neural control. We present an iterative phase retrieval algorithm that allows the projection of amplitude-controlled speckle-free one-dimensional patterns with a high degree of pattern uniformity. The algorithm, termed...

The micromanipulation of objects into 3-dimensional geometries within holographic optical tweezers is carried out using modified Gerchberg-Saxton (GS) and direct binary search (DBS) algorithms to produce the hologram designs. The algorithms calculate sequences of phase holograms, which are implemented using a spatial light modulator, to reconfigure the geometries of optical traps in many planes...

Three approaches for visualization of transparent micro-objects from holographic data using phase-only SLMs are described. The objects are silicon micro-lenses captured in the near infrared by means of digital holographic microscopy and a simulated weakly refracting 3D object with size in the micrometer range. In the first method, profilometric/tomographic data are retrieved from captured holog...

Verbal/vocal interactions of three Japanese mother-child dyads were examined when the children were 1;0, 1;2 to 1;3, 1;6 to 1;7, and 1;8 to 1;9 to determine whether mothers provide information which may facilitate the elaboration of child lexical forms during the transition from the prelinguistic to the linguistic period. Mothers were likely to reproduce only the child's word-like utterances, b...

Proper positioning of mitochondria is critical for cellular function. Mitochondria localization close to synapses regulates signalling at neuronal and immune synapses (ISs). Vice versa, synapses influence activity, motility and the fusion/fission balance of close-by mitochondria. In this issue of The EMBO Journal, Baixauli et al (2011) identify a role for the mitochondrial fission factor dynami...

Let C[M ] be a (local) Denjoy–Carleman class of Beurling or Roumieu type, where the weight sequence M = (Mk) is log-convex and has moderate growth. We prove that the groups DiffB[M ](Rn), DiffW [M ],p(Rn), DiffS [M ] [L] (Rn), and DiffD[M ](Rn) of C[M ]-diffeomorphisms on Rn which differ from the identity by a mapping in B[M ] (global Denjoy– Carleman), W [M ],p (Sobolev–Denjoy–Carleman), S [M ...

In this paper, three new algorithms for signal reconstruction from spectral magnitude are presented. The first algorithm reconstructs a signal from its discrete Fourier transform (DFT) magnitude and half of its samples using the decimation-in-time FFT algorithm, which results in a closed-form solution for the unknown data. The second is based on localized Fourier transform magnitudes and a sing...

Child, C. M. (1915). Senescence and Rejuvenescence. Chicago: University Press. Dawidoff, C, (1924). C.R. Acad. Sci., Paris, 179, 1222. Frohawk, F. W. (1935). Entomologist, 68, 184. Fukuda, M. & Sibatani, A. (1953). Biochem. J . , Tokyo, 40, 95. Gardner, T. S. (1948). J. Tennessee Acad. Sci. 23, 291. Gardner, T. S. (1948). J . Gerontol. 3, I . Gardner, T. S . (1948). J. Gerontol. 3, 9. Haydak, M...

Child, C. M. (1915). Senescence and Rejuvenescence. Chicago: University Press. Dawidoff, C, (1924). C.R. Acad. Sci., Paris, 179, 1222. Frohawk, F. W. (1935). Entomologist, 68, 184. Fukuda, M. & Sibatani, A. (1953). Biochem. J . , Tokyo, 40, 95. Gardner, T. S. (1948). J. Tennessee Acad. Sci. 23, 291. Gardner, T. S. (1948). J . Gerontol. 3, I . Gardner, T. S . (1948). J. Gerontol. 3, 9. Haydak, M...