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This paper concerns the propagation of high frequency wave-beams in highly turbulent atmospheres. Using a paraxial model of wave propagation, we show in the long-distance weak-coupling regime that the wavefields are approximately described…

偏微分方程分析 · 数学 2025-08-19 Guillaume Bal , Anjali Nair

The Fraunhofer diffraction of quantum particles from materials with sharp electron-density edges or symmetric bond structures is ubiquitous. In contrast, diffraction from atoms with characteristic asymptotically-diffused electron…

Diffraction gratings are famous for their ability to exhibit, near a Wood anomaly, an arbitrarily large angular dispersion, e.g., with respect to the incidence angle or wavelength. For a diffraction grating under incidence by a plane wave…

光学 · 物理学 2017-03-24 Kokou B. Dossou

For quantum systems with two dimensional configuration space we construct a physical radial momentum observable. Rescaling the radius we find the dilatonic degrees of freedom form a Weyl algebra. With this we construct the radial Wigner…

量子物理 · 物理学 2008-11-26 J. Twamley

We study the propagation of high-frequency electromagnetic waves in randomly heterogeneous bianisotropic media with dissipative properties. For that purpose we consider randomly fluctuating optical responses of such media with correlation…

数学物理 · 物理学 2024-03-12 Jean-Luc Akian , Éric Savin

The Weyl-Wigner representation of quantum mechanics allows one to map the density operator in a function in phase space - the Wigner function - which acts like a probability distribution. In the context of statistical mechanics, this…

量子物理 · 物理学 2023-08-31 Marcos Gil de Oliveira , Alfredo Miguel Ozorio de Almeida

We have generated and propagated both diffracting and non-diffracting speckles using the scattering of perfect optical vortices. The diffracting speckles have been realized in the near field and non-diffracting speckles have been realized…

Interactions between charged particles and light occur in real space and time, yet quantum field theory usually describes them in momentum space. Whereas this approach is well suited for calculating emission probabilities and cross…

Analytic expressions of the spatial coherence of partially coherent fields propagating in the Fresnel regime in all but the simplest of scenarios are largely lacking and calculation of the Fresnel transform typically entails tedious…

We present a geometrical way of understanding the dynamics of wavefunctions in a free space, using the phase-space formulation of quantum mechanics. By visualizing the Wigner function, the spreading, shearing, the so-called "negative…

量子物理 · 物理学 2024-09-06 Yuxi Liu

We develop a versatile theoretical approach to the study of cold-atom diffractive scattering from light-field gratings by combining calculations of the optical near-field, generated by evanescent waves close to the surface of periodic…

原子物理 · 物理学 2009-11-07 G. Leveque , C. Meier , R. Mathevet , C. Robiliiard , J. Weiner , C. Girard , J. C. Weeber

The phasor field has been shown to be a valuable tool for non-line-of-sight imaging. We present a formal analysis of phasor-field imaging using paraxial wave optics. Then, we derive a set of propagation primitives---using the two-frequency,…

光学 · 物理学 2019-07-24 Justin Dove , Jeffrey H. Shapiro

The Helmholtz equation in one dimension, which describes the propagation of electromagnetic waves in effectively one-dimensional systems, is equivalent to the time-independent Schr\"odinger equation. The fact that the potential term…

经典物理 · 物理学 2021-09-15 Farhang Loran , Ali Mostafazadeh

A new principle of subwavelength imaging based on frequency scanning is considered. It is shown that it is possible to reconstruct the spatial profile of an external field exciting an array (or coupled arrays) of subwavelength-sized…

光学 · 物理学 2008-06-27 Stanislav Maslovski , Pekka Alitalo , Sergei Tretyakov

We consider an optical diffraction grating in which the spatial distribution of open slits forms a fractal set. The Fraunhofer diffraction patterns through the fractal grating are obtained analytically for the simplest triad Cantor type and…

光学 · 物理学 2007-05-23 Dongsu Bak , Sang Pyo Kim , Sung Ku Kim , Kwang-Sup Soh , Jae Hyung Yee

This article considers the problem of diffraction by a wedge consisting of two semi-infinite periodic arrays of point scatterers. The solution is obtained in terms of two coupled systems, each of which is solved using the discrete…

数值分析 · 数学 2022-02-24 M. A. Nethercote , A. V. Kisil , R. C. Assier

Introducing angular dispersion into a pulsed field associates each frequency with a particular angle with respect to the propagation axis. A perennial yet implicit assumption is that the propagation angle is differentiable with respect to…

光学 · 物理学 2022-10-26 Layton A. Hall , Ayman F. Abouraddy

The miscible displacement of a shear-thinning fluid by another of same rheological properties is studied experimentally in a transparent fracture by an optical technique imaging relative concentration distributions. The fracture walls have…

流体动力学 · 物理学 2007-05-23 Alexandro Boschan , Harold Auradou , Irene Ippolito , Ricardo Chertcoff , Jean-Pierre Hulin

The "near-field" propagation modeling of wireless channels is necessary to support sixth-generation (6G) technologies, such as intelligent reflecting surface (IRS), that are enabled by large aperture antennas and higher frequency carriers.…

信息论 · 计算机科学 2024-03-12 Navneet Agrawal , Ehsan Tohidi , Renato L. G. Cavalcante , Sławomir Stańczak

Expressing the Wigner distribution function in Dirac notation reveals its resemblance to a classical trajectory in phase space.

综合物理 · 物理学 2016-09-08 Frank Rioux