We present what we believe to be a new application of scanning holographic microscopy to superresolution. Spatial resolution exceeding the Rayleigh limit of the objective is obtained by digital coherent addition of the reconstructions of several off-axis Fresnel holograms. Superresolution by holographic superposition and synthetic aperture has a long history, which is briefly reviewed. The meth...

I propose a quantum imaging method that can beat the Rayleigh-Abbe diffraction limit and achieve de Broglie resolution without requiring a multiphoton absorber or coincidence detection. Using the same nonclassical states of light as those for quantum lithography, the proposed method requires only optical intensity measurements, followed by image postprocessing, to produce the same complex quant...

We present an upper bound on the probability of error of a signaling scheme that achieves the capacity of the multipath fading channel under an average power constraint in the limit of infinite bandwidth. The bound is derived under the assumption of Rayleigh block fading. We are therefore able to determine the performance of the scheme when a given finite bandwidth is available. We evaluate the...

As a droplet moves, due to evaporation at the surface, the droplet size is gradually reduced. Due to decreasing the size of the droplets moving in the spray core, the surface charges become closer and the repulsive force between the charges increases. When the Coulombic force overcomes the surface tension force (Rayleigh instability) the droplet breaks into smaller droplets (Coulomb fission). T...

Thus, for Weibull statistics (o = 1=2) we require N ̧ 200. For more log-normal-like statistics (e.g., o = 1=10) we require N of order of thousands. Although we have chosen ̄ = 3 the calculations are readily performed for other values of ̄. The above analysis provides a measure of how many K-distributed random phasors must be summed together before the probability density of the amplitude of the su...

The paper presents the results of investigation on the distribution of vibrational velocity on the surface of the cylindrical piezoelectric ultrasound transducers using far-field acoustical holography. In contrast to the plane and focused transducers, for which method of acoustic holography using the Rayleigh integral is applicable [1], cylindrical sources require scanning over a closed surface...

The angle and temperature dependence of the photon scattering rate for Bose-stimulated atom recoil transitions between occupied states is compared to diffraction and incoherent Rayleigh scattering near the Bose-Einstein transition for an optically thin trap in the limit of large particle number, N . Each of these three processes has a range of angles and temperatures for which it dominates over...

The onset of convection in the form of magneto-inertial waves in a rotating fluid sphere permeated by a constant axial electric current is studied through a perturbation analysis. Explicit expressions for the dependence of the Rayleigh number on the azimuthal wavenumber are derived in the limit of high thermal diffusivity. Results for the cases of thermally infinitely conducting and of nearly t...

We report an experimental demonstration of a nonclassical imaging mechanism with super-resolving power beyond the Rayleigh limit. When the classical image is completely blurred out due to the use of a small imaging lens, by taking advantage of the intensity fluctuation correlation of thermal light, the demonstrated camera recovered the image of the resolution testing gauge. This method could be...

We consider the Nusselt–Rayleigh number problem of Rayleigh–Bénard convection and make hypothesis that velocity thermal boundary layer widths, $\delta _u$ _T$ , in absence a strong mean flow are controlled by dissipation scales turbulence outside layers and, therefore, order Kolmogorov Batchelor scales, respectively. Under this assumption, we derive $Nu \sim Ra^{1/3}$ high $Ra$ limit, independe...