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We advance a phase-space theory of partially coherent accelerating, non-diffracting beams employing the Wigner distribution function (WDF). We derive a general expression for the WDF of any accelerating, diffraction-free beam of arbitrary…

光学 · 物理学 2026-01-19 Sergey A. Ponomarenko , Morteza Hajati

This letter presents simple analytical expressions for the spatial and temporal correlation functions in channels with von Mises-Fisher (vMF) scattering. In contrast to previous results, the expressions presented here are exact and based…

信号处理 · 电气工程与系统科学 2024-12-24 Kenan Turbic , Martin Kasparick , Slawomir Stanczak

Response functions and fluctuations measured locally in complex materials should equally well characterize mesoscopic-scale dynamics. The fluctuation-dissipation-relation (FDR), relates the two in equilibrium, a fact used regularly, for…

无序系统与神经网络 · 物理学 2015-05-19 H. Oukris , N. E. Israeloff

We formulate the Schiffer's conjecture in spectral geometry in the context of scattering theory. The problem is equivalent to finding a non-trivial solution in an interior transmission problem. We compare the back-scattering data of the…

偏微分方程分析 · 数学 2016-05-18 Lung-Hui Chen

We introduce a new parameter to investigate replica symmetry breaking transitions using finite-size scaling methods. Based on exact equalities initially derived by F. Guerra this parameter is a direct check of the self-averaging character…

统计力学 · 物理学 2009-10-31 E. Marinari , C. Naitza , F. Zuliani , G. Parisi , M. Picco , F. Ritort

We introduce a dynamic light scattering technique capable of resolving motion that changes systematically, and rapidly, with time. It is based on the visibility of a speckle pattern for a given exposure duration. Applying this to a vibrated…

软凝聚态物质 · 物理学 2007-05-23 P. K. Dixon , D. J. Durian

The next generation of galaxy surveys, aiming to observe millions of galaxies, are expensive both in time and cost. This raises questions regarding the optimal investment of this time and money for future surveys. In a previous work, it was…

宇宙学与河外天体物理 · 物理学 2015-09-23 P. Paykari , S. Pires , J. -L. Starck , A. H. Jaffe

In application areas like bioinformatics multivariate distributions on angles are encountered which show significant clustering. One approach to statistical modelling of such situations is to use mixtures of unimodal distributions. In the…

统计理论 · 数学 2013-07-08 Kanti V. Mardia , Jochen Voss

Diffuse scattering of electromagnetic waves from natural and artificial surfaces has been extensively studied in various disciplines, including radio wave propagation, and several diffuse scattering models based on different approaches have…

信号处理 · 电气工程与系统科学 2023-07-19 Enrico M. Vitucci , Nicolò Cenni , Franco Fuschini , Vittorio Degli-Esposti

The differential equations satisfied by the wavefunction coefficients of conformally coupled scalars in a power-law cosmology can be recast into an iterative differential system of basis functions. These functions can be encoded within…

高能物理 - 理论 · 物理学 2026-05-19 Ji-Yuan Ke , Ping He

Matrix inversion problems are often encountered in experimental physics, and in particular in high-energy particle physics, under the name of unfolding. The true spectrum of a physical quantity is deformed by the presence of a detector,…

机器学习 · 统计学 2020-09-08 Pietro Vischia

We present here a generalization of the scattering-matrix approach for the description of the propagation of electromagnetic waves in nanostructured magneto-optical systems. Our formalism allows us to describe all the key magneto-optical…

光学 · 物理学 2012-06-08 B. Caballero , A. Garcia-Martin , J. C. Cuevas

We consider the spectral response of moving diffraction gratings, in which the incident light extends over a broad angular range and where the diffracted light is observed from a specific angle. We show that the dispersion relation between…

光学 · 物理学 2016-08-16 Kokou B. Dossou

We demonstrate first- and second-order spatial differentiation of an optical beam transverse profile using thin suspended subwavelength gratings. Highly reflective one-dimensional gratings are patterned on suspended 200 nm-thick silicon…

We investigate Gabor frames on locally compact abelian groups with time-frequency shifts along non-separable, closed subgroups of the phase space. Density theorems in Gabor analysis state necessary conditions for a Gabor system to be a…

泛函分析 · 数学 2015-04-22 Mads Sielemann Jakobsen , Jakob Lemvig

This paper aims to shed some more light on one of the best known phenomena in the field of physics, the Doppler effect, in particular, on its classical version. Although, as mentioned, it is a phenomenon already described more than 150…

经典物理 · 物理学 2024-09-24 Óscar Alejos , José María Muñoz

We investigate inverse diffraction problems for penetrable gratings in a piecewise constant medium. In the TE polarization case, it is proved that a binary grating profile together with the refractive index beneath it can be uniquely…

偏微分方程分析 · 数学 2021-11-24 Jianli Xiang , Guanghui Hu

We revisit the method of cumulants for analysing dynamic light scattering data in particle sizing applications. Here the data, in the form of the time correlation function of scattered light, is written as a series involving the first few…

软凝聚态物质 · 物理学 2015-04-27 Alastair G. Mailer , Paul S. Clegg , Peter N. Pusey

Time-resolved analysis of periodically excited luminescence decays by the phasor method in the presence of time-gating or binning is revisited. Analytical expressions for discrete configurations of square gates are derived and the locus of…

定量方法 · 定量生物学 2024-06-12 Xavier Michalet

The present paper deals with the discrete inverse problem of reconstructing binary matrices from their row and column sums under additional constraints on the number and pattern of entries in specified minors. While the classical…

数据结构与算法 · 计算机科学 2017-02-22 Andreas Alpers , Peter Gritzmann
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