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We have observed Bragg scattering of photons from quantum degenerate $^{87}$Rb atoms in a three-dimensional optical lattice. Bragg scattered light directly probes the microscopic crystal structure and atomic wavefunction whose position and…

The traditional Bragg crystal diffraction experiments use X-rays, harming the participants bodies. Therefore, many universities have not offered this basic experiment. Although microwave simulation Bragg experiments can reduce harm, there…

Physics Education · Physics 2024-05-21 Qiusong Chen , Wei Hou , Song Lin , GaoFu Liu , Weiyao Jia

We investigate the diffraction conditions and associated formation of stopgaps for waves in crystals with different Bravais lattices. We identify a prominent stopgap in high-symmetry directions that occurs at a frequency below the…

We report on a detailed investigation of the dynamics and the saturation of a light grating stored in a sample of cold cesium atoms. We employ Bragg diffraction to retrieve the stored optical information impressed into the atomic coherence…

Quantum Physics · Physics 2009-11-13 D. Moretti , N. Gonzalez , D. Felinto , J. W. R. Tabosa

Bragg diffraction of an atomic wave packet in a retroreflective geometry with two counterpropagating optical lattices exhibits a light shift induced phase. We show that the temporal shape of the light pulse determines the behavior of this…

Quantum Physics · Physics 2016-12-21 Enno Giese , Alexander Friedrich , Sven Abend , Ernst M. Rasel , Wolfgang P. Schleich

This paper studies the theory and applications of the diffraction of electromagnetic waves by space-time periodic (STP) diffraction gratings. We show that, in contrast with conventional spatially periodic grating, a STP diffraction grating…

Applied Physics · Physics 2019-08-21 Sajjad Taravati , George V. Eleftheriades

X-ray Bragg coherent diffraction imaging has been demonstrated as a powerful three-dimensional (3D) microscopy approach for the investigation of sub-micrometer-scale crystalline particles. It is based on the measurement of a series of…

The objective of this article is to study the behavior of electromagnetic field under X-ray diffraction by time-dependent deformed crystals. Derived system of differential equations looks like the Takagi equations in the case of…

Computational Physics · Physics 2007-05-23 Svetlana Sytova

We study X-ray diffraction in smectic liquid crystal multilayers. Such systems are fabricated as freely suspended films and have a unique layered structure. As such, they can be described as organic Bragg mirrors with sub-nanometer…

Soft Condensed Matter · Physics 2025-10-15 V. V. Samsonov , K. V. Nikolaev , B. I. Ostrovskii , S. N. Yakunin

An x-ray free-electron laser oscillator (XFELO) is a promising candidate for producing fully coherent x-rays beyond the fourth-generation light sources. An R&D XFELO experiment (ANL-SLAC-Spring-8 collaboration) to demonstrate the basic…

Accelerator Physics · Physics 2024-10-17 Peifan Liu , Kwang-Je Kim , Ryan Lindberg , Yuri Shvyd'ko

The band gap, a key concept in solid-state physics, is traditionally explained by the Bragg diffraction of electron waves in the periodic potential of a crystal. Although widely accepted, this framework raises fundamental issues in…

Materials Science · Physics 2025-08-28 Koichi Kajiyama

Time-distributed optical feedback in semiconductor lasers has gained attention for its ability to produce high-quality chaos and effectively suppress the time-delay signature. However, the fundamental impact of the distribution of feedback…

Optics · Physics 2023-07-31 Martin Skenderas , Spencer W. Jolly , Martin Virte

In this article, we present scattering and localization phenomena in a thin elastic plate comprising an aperiodic arrangement of scatterers. By analysing the form factor of the scattering cluster, we sample the reciprocal space which shows…

Classical Physics · Physics 2023-05-17 Domenico Tallarico , Andrea Bergamini , Bart Van Damme

Free-electron laser hard X-ray light sources can provide high fluence, femtosecond pulses, enabling the time-resolved probing of structural dynamics and elementary relaxation processes in molecules. Traditional X-ray elastic scattering from…

Chemical Physics · Physics 2016-11-23 Kochise Bennett , Markus Kowalewski , Shaul Mukamel

We consider a system governed by the wave equation with index of refraction $n(x)$, taken to be variable within a bounded region $\Omega\subset \mathbb R^d$, and constant in $\mathbb R^d \setminus \Omega$. The solution of the time-dependent…

Optimization and Control · Mathematics 2014-05-21 Braxton Osting , Michael I. Weinstein

The time evolution of the electron density and the resulting time dependence of X-ray diffraction peak intensity in a crystal irradiated by highly intense femtosecond pulses of an XFEL is investigated theoretically on the basis of rate…

Atomic Physics · Physics 2013-11-26 A. Leonov , D. Ksenzov , A. Benediktovitch , I. Feranchuk , U. Pietsch

Time-varying metamaterials are artificial materials whose electromagnetic properties change over time. Similar to a spatial medium discontinuity, a sudden change in time of the metamaterial refractive index induces the generation of a…

Classical Physics · Physics 2025-02-06 Davide Ramaccia , Alessandro Toscano , Filiberto Bilotti

The location of the beam focus when monochromatic x-ray radiation is diffracted by a thin bent crystal is predicted by "crystal lens equation". We derive this equation in a general form valid for Bragg and Laue geometries. This equation has…

Optics · Physics 2022-01-07 Jean-Pierre Guigay , Manuel Sanchez del Rio

Future ultrafast x-ray light sources might image ultrafast coherent electron motion in real-space and in real-time. For a rigorous understanding of such an imaging experiment, we extend the theory of non-resonant x-ray scattering to the…

Atomic Physics · Physics 2015-06-19 Gopal Dixit , Jan Malte Slowik , Robin Santra

The multiple scattering effect on the line width of the backward Parametric X-ray Radiation (PXR) in the extremely Bragg geometry, produced by low energy relativistic electrons traversing a single crystal, is discussed. It is shown that…

Accelerator Physics · Physics 2015-02-09 Mehdi Tabrizi