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This review revolves around the question which general distribution of scatterers (in a Euclidean space) results in a pure point diffraction spectrum. Firstly, we treat mathematical diffration theory and state conditions under which such a…

Mathematical Physics · Physics 2008-03-11 M. Baake , R. V. Moody , C. Richard , B. Sing

The diffraction spectrum of coherent waves scattered from fractal supports is calculated exactly. The fractals considered are of the class generated iteratively by successive dilations and translations, and include generalizations of the…

Condensed Matter · Physics 2009-10-28 Daniel A. Hamburger-Lidar

Inhomogeneous phases may appear when a stress is applied to a system and the system can minimize the free energy breaking the rotational invariance. Various examples are known in Nature of this sort, as the paramagnetic to ferromagnetic…

High Energy Physics - Phenomenology · Physics 2015-05-20 Massimo Mannarelli

We present light transmission measurements and frequency-delay reflectometry maps for GaAs photonic crystal membranes, which show the transition from propagation with a well defined group velocity to a regime completely dominated by…

This paper considers some open questions related to the inverse problem of pure point diffraction, in particular, what types of objects may diffract, and which of these may exhibit the same diffraction. Some diverse objects with the same…

Mathematical Physics · Physics 2013-08-14 Venta Terauds

Bragg coherent diffraction imaging (BCDI), the well-established technique for imaging internal strain of nanoparticles, was used to image the internal compositional distribution of binary alloys in thermal equilibrium. The images…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 Tomoya Kawaguchi , Wonsuk Cha , Vitalii Latyshev , Serhii Vorobiov , Vladimir Komanicky , Hoydoo You

Disorder is an intrinsic feature of all solids, from crystals of atoms to superlattices of colloidal nanoparticles. Unlike atomic crystals, in nanocrystal superlattices a single misplaced particle can affect the positions of neighbors over…

Disordered hyperuniform systems are exotic states of matter that completely suppress large-scale density fluctuations like crystals, and yet possess no Bragg peaks similar to liquids or glasses. Such systems have been discovered in a…

Soft Condensed Matter · Physics 2021-11-10 Duyu Chen , Yu Zheng , Yang Jiao

The classical method of determining the atomic structure of complex molecules by analyzing diffraction patterns is currently undergoing drastic developments. Modern techniques for producing extremely bright and coherent X-ray lasers allow a…

Biomolecules · Quantitative Biology 2015-10-12 Tomas Ekeberg , Stefan Engblom , Jing Liu

When subjected to monochromatic incident light a nanoparticle will emit light which then interferes with the incident beam. With sufficient contrast and sufficiently close to the particle this interference pattern may be recorded with a…

Optics · Physics 2019-02-26 T. G. Myers , H. Ribera , W. S. Bacsa

Scattering methods are widely used in many research areas to analyze and resolve material structures. Given the importance, a large number of full textbooks are devoted to this topic. However, technical details in experiments and…

Soft Condensed Matter · Physics 2021-04-02 Dingning Li , Kai Zhang

Particle models with finitely many types of particles are considered, both on $\mathbb{Z}^d$ and on discrete point sets of finite local complexity. Such sets include many standard examples of aperiodic order such as model sets or certain…

Mathematical Physics · Physics 2008-03-31 Michael Baake , Natali Zint

We numerically investigate the properties of speckle patterns formed by nonlinear point scatterers. We show that, in the weak localization regime, dynamical instability appears, eventually leading to chaotic behavior of the system.…

Mesoscale and Nanoscale Physics · Physics 2008-09-29 Benoit Gremaud , Thomas Wellens

From the spread of pollutants in the atmosphere to the transmission of nutrients across cell membranes, anomalous diffusion processes are ubiquitous in natural systems. The ability to understand and control the mechanisms guiding such…

Statistical Mechanics · Physics 2021-01-04 E G Kostadinova , J L Padgett , C D Liaw , L S Matthews , T W Hyde

We show that discotics, lying deep in the columnar phase, can exhibit an x-ray scattering pattern which mimics that of a somewhat unusual smectic liquid crystal. This exotic, new glassy phase of columnar liquid crystals, which we call a…

Soft Condensed Matter · Physics 2009-10-31 Karl Saunders , Leo Radzihovsky , John Toner

We examine here various aspects of the statics and dynamics of disordered elastic systems such as manifolds and periodic systems. Although these objects look very similar and indeed share some underlying physics, periodic systems constitute…

Disordered Systems and Neural Networks · Physics 2008-02-03 Thierry Giamarchi , Pierre Le Doussal

The circular Bragg phenomenon is the circular-polarization-state-selective reflection of light in a spectral regime called the circular Bragg regime. In continuation of an expository review on this phenomenon published in 2014, an album of…

Optics · Physics 2025-04-11 Akhlesh Lakhtakia

Spin squeezing in atomic ensembles enables atom interferometry with sensitivities below the shot-noise limit, but the associated entanglement is highly susceptible to loss, making imperfections in atom optics a central limitation. Bragg…

Quantum Physics · Physics 2026-05-22 Christian Miguel Karres , Daniel Derr , Enno Giese

We investigate the ordering properties of vertically-vibrated monolayers of granular cylinders in a circular container at high packing fraction. In line with previous works by other groups, we identify liquid-crystalline ordering behaviour…

Soft Condensed Matter · Physics 2017-05-16 Miguel Gonzalez-Pinto , Florentino Borondo , Yuri Martinez-Raton , Enrique Velasco

We report on ultrafast electron diffraction on high quality single crystal silicon. The ultrafast dynamics of the Bragg peaks exhibits a giant photo-induced response which can only be explained in the framework of dynamical diffraction…

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