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This paper considers the 3D spatial fading correlation (SFC) resulting from an angle-of-arrival (AoA) distribution that can be modelled by a mixture of Fisher-Bingham distributions on the sphere. By deriving a closed-form expression for the…

Information Theory · Computer Science 2015-01-20 Yibeltal F. Alem , Zubair Khalid , Rodney A. Kennedy

The static pair correlation (distribution) function and the structure factor of particle distributions in three-dimensional homogeneous isotropic systems are explicitly restored from two-dimensional data observed in a thin slab sliced out…

Data Analysis, Statistics and Probability · Physics 2009-12-31 Hiroo Totsuji

Intrinsically Disordered Proteins (IDPs) perform a broad range of biological functions. Their relevance has motivated intense research activity seeking to characterize their sequence/structure/function relationships. However, the…

We present revised point-spread functions (PSFs) for the Atmospheric Imaging Assembly (AIA) onboard the Solar Dynamics Observatory (SDO). These PSFs provide a robust estimate of the light diffracted by the meshes holding the entrance and…

Solar and Stellar Astrophysics · Physics 2025-02-26 Stefan Hofmeister , Daniel Wolf Savin , Michael Hahn

A procedure is presented to map from the spatial correlation parameters of a turbulent density field (the radial and binormal correlation lengths and wavenumbers, and the fluctuation amplitude) to correlation parameters that would be…

Plasma Physics · Physics 2017-04-05 M. F. J. Fox , A. R. Field , F. van Wyk , Y. -c. Ghim , A. A. Schekochihin , the MAST Team

Diffusion of electrons in two-dimensional disordered systems with spin-orbit interactions is investigated numerically. Asymptotic behaviors of the second moment of the wave packet and of the temporal auto-correlation function are examined.…

Condensed Matter · Physics 2009-10-28 Tohru Kawarabayashi , Tomi Ohtsuki

In the last two decades, Fresnel diffraction (FD) of a plane wave from phase steps has been systematically studied and applied for precise measurements of light wavelength, and height and refractive index of the step. In this study we…

Optics · Physics 2019-06-13 Masoud Ghoorchi-Beygi , Masoomeh Dashtdar

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

We derive the likelihood of a raw signal in a single photon avalanche diode (SPAD), given a fixed photon flux. The raw signal comprises timing of detection events, which are nonlinearly related to the flux. Moreover, they are naturally…

Computer Vision and Pattern Recognition · Computer Science 2026-01-29 Lior Dvir , Nadav Torem , Yoav Y. Schechner

We study how the two-point density correlation properties of a point particle distribution are modified when each particle is divided, by a stochastic process, into an equal number of identical "daughter" particles. We consider generically…

Statistical Mechanics · Physics 2009-11-13 Andrea Gabrielli , Michael Joyce

Determination of crystal structures of nanocrystalline or amorphous compounds is a great challenge in solid states chemistry and physics. Pair distribution function (PDF) analysis of X-Ray or neutron total scattering data has proven to be a…

Materials Science · Physics 2025-07-14 Magnus Kløve , Sanna Sommer , Bo B. Iversen , Bjørk Hammer , Wilke Dononelli

We present a generalization of the notoriously unwieldy second-order scattering fading model, which is helpful to alleviate its mathematical complexity while providing an additional degree of freedom. This is accomplished by allowing its…

Information Theory · Computer Science 2024-10-28 Jesus Lopez-Fernandez , Gonzalo J. Anaya-Lopez , F. Javier Lopez-Martinez

We introduce the fdRLoS fading model as a natural generalization of the double-Rayleigh with line-of-sight fading model, on which the constant-amplitude line-of-sight component is now allowed to randomly fluctuate. We discuss the key…

Information Theory · Computer Science 2021-07-19 Jesus Lopez-Fernandez , Pablo Ramirez Espinosa , Juan M. Romero-Jerez , F. Javier Lopez-Martinez

We present a self-consistent framework to perform the wavelet analysis of two-dimensional statistical distributions. The analysis targets the 2D probability density function (p.d.f.) of an input sample, in which each object is characterized…

Instrumentation and Methods for Astrophysics · Physics 2019-03-26 R. V. Baluev , E. I. Rodionov , V. Sh. Shaidulin

A new method for separating intensity variations of a source's radio emission having various physical natures is proposed. The method is based on a joint analysis of the structure function of the intensity variations and the asymmetry…

Astrophysics · Physics 2009-11-11 V. I. Shishov , T. V. Smirnova

Fractional calculus allows one to generalize the linear, one-dimensional, diffusion equation by replacing either the first time derivative or the second space derivative by a derivative of fractional order. The fundamental solutions of…

Statistical Mechanics · Physics 2007-05-23 Francesco Mainardi , Paolo Paradisi , Rudolf Gorenflo

Scattering measurements with incident linearly polarized $\gamma$ rays provide information on spins, parities, and $\gamma$-ray multipolarity mixing coefficients, and, therefore, on the nuclear matrix elements involved in the transitions.…

Nuclear Experiment · Physics 2021-06-18 Christian Iliadis , Udo Friman-Gayer

We introduce bidirectional edge diffraction response function (BEDRF), a new approach to model wave diffraction around edges with path tracing. The diffraction part of the wave is expressed as an integration on path space, and the wave-edge…

Sound · Computer Science 2023-06-06 Chunxiao Cao , Zili An , Zhong Ren , Dinesh Manocha , Kun Zhou

We introduce a novel framework for upsampled Point Spread Function (PSF) modeling using pixel-level Bayesian inference. Accurate PSF characterization is critical for precision measurements in many fields including: weak lensing, astrometry,…

Instrumentation and Methods for Astrophysics · Physics 2025-11-26 Connor Stone , Ronan Legin , Alexandre Adam , Nikolay Malkin , Gabriel Missael Barco , Laurence Perreaul-Levasseur , Yashar Hezaveh

The parametric fluorescence from a nonlinear crystal forms a conical radiation pattern. We measure the angular and spectral distributions of parametric fluorescence in a beta-barium borate crystal pumped by a 405-nm diode laser employing…

Optics · Physics 2013-10-04 Feng-kuo Hsu , Chih-Wei Lai