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Surface topography dictates the deterministic functionality of diffraction by a surface. In order to maximize the efficiency with which a diffractive optical component, such as a grating or a diffractive lens, directs light into a chosen…

Friedel's law guarantees an inversion-symmetric diffraction pattern for thin, light materials where a kinematic approximation or a single-scattering model holds. Typically, breaking Friedel symmetry is ascribed to multiple scattering events…

Mathematical diffraction theory is concerned with the diffraction image of a given structure and the corresponding inverse problem of structure determination. In recent years, the understanding of systems with continuous and mixed spectra…

Mathematical Physics · Physics 2010-05-24 Michael Baake , Uwe Grimm

We discuss recent work on the static and dynamical properties of the asymmetric exclusion process, generalized to include the effect of disorder. We study in turn: random disorder in the properties of particles; disorder in the spatial…

Statistical Mechanics · Physics 2009-11-11 Mustansir Barma

The advantages of convergent beam electron diffraction for symmetry determination at the scale of a few nm are well known. In practice, the approach is often limited due to the restriction on the angular range of the electron beam imposed…

Materials Science · Physics 2013-07-09 Richard Beanland , Paul J. Thomas , David I. Woodward , Pamela A. Thomas , Rudolf A. Roemer

The understanding of how the arrangement of defects in photonic crystals impacts its photonic properties is cru-cial for the design of functional materials based thereon. By preparing photonic crystals with random missing scatterers we…

It is shown that the diffraction on a polycrystal can be used for investigation and diagnostics of X-ray radiation emitted in a forward direction by relativistic charged particles moving in crystalline or other targets or fields. Methods…

Instrumentation and Detectors · Physics 2025-03-07 Alexander V. Shchagin

We study Bragg scattering at 1D optical lattices. Cold atoms are confined by the optical dipole force at the antinodes of a standing wave generated inside a laser-driven high-finesse cavity. The atoms arrange themselves into a chain of…

Quantum Physics · Physics 2009-11-11 S. Slama , C. von Cube , A. Ludewig , M. Kohler , C. Zimmermann , Ph. W. Courteille

The robust and automated determination of crystal symmetry is of utmost importance in material characterization and analysis. Recent studies have shown that deep learning (DL) methods can effectively reveal the correlations between X-ray or…

Computational Physics · Physics 2020-05-27 Leslie Ching Ow Tiong , Jeongrae Kim , Sang Soo Han , Donghun Kim

Driven or active suspensions can display fascinating collective behavior, where coherent motions or structures arise on a scale much larger than that of the constituent particles. Here, we report experiments and numerical simulations…

We present a simplified model for dynamical diffraction of particles through a periodic thick perfect crystal based on repeated application of a coherent beam splitting unitary at coarse-grained lattice sites. By demanding translational…

Quantum Physics · Physics 2016-12-14 J. Nsofini , K. Ghofrani , D. Sarenac , D. G. Cory , D. A. Pushin

The ability to measure small deformations or strains is useful for understanding many aspects of materials. Here, a new analysis of speckle diffraction peaks is presented in which the systematic shifts of the speckles are analyzed allowing…

Materials Science · Physics 2021-02-17 Mark Sutton , J. R. M. Lhermitte , F. Livet , F. Ehrburger-Dolle

Crystals and quasicrystals can be characterized by an order that is a purely geometric property of an instantaneous configuration, independent of particle dynamics or interactions. Glasses, on the other hand, are ostensibly amorphous…

Disordered Systems and Neural Networks · Physics 2009-05-01 Jorge Kurchan , Dov Levine

Problem solutions in area of diffraction and of scattering theory are considered from one point of view. The method common for them is based on approximate orthogonality of solution constituents, which oscillate on a body long frontier.…

Mathematical Physics · Physics 2013-08-05 Valery B. Morozov

A macroscopic characterization of fractals showing up a structural transition from dense to multibranched growth is made using optical diffraction theory. Such fractals are generated via the numerical solution of the 2D Poisson and…

Condensed Matter · Physics 2009-10-22 F. Perez-Rodriguez , Wei Wang , E. Canessa

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…

A brief review of the manifestations of classical chaos observed in atomic systems is presented. Particular attention is paid to the analysis of atomic spectra by periodic orbit-type theories. For diamagnetic non-hydrogenic Rydberg atoms,…

Atomic Physics · Physics 2007-05-23 P. A. Dando , T. S. Monteiro

Visualization of internal deformation fields in crystalline materials helps bridge the gap between theoretical models and practical applications. Applying Bragg coherent diffraction imaging under X-ray dynamical diffraction conditions…

Applied Physics · Physics 2025-12-29 Longlong Wu , David Yang , Wei Wang , Shinjae Yoo , Ross J. Harder , Wonsuk Cha , Aiguo Li , Ian K. Robinson

Order and disorder constitute two fundamental and opposite themes in condensed matter physics and materials science. Crystals are considered the epitome of order, characterised by long-range translational order. The discovery of…

Soft Condensed Matter · Physics 2026-02-18 Xinyu Fan , Ding Xu , Jianhua Zhang , Hao Hu , Peng Tan , Ning Xu , Hajime Tanaka , Hua Tong

For the oblique helicoidal structure of the chiral twist-bend nematic-forming mixture of CB7CB/CB6OCB/5CB doped by light-sensitive chiral compound based on azo-fragment, two consequent states of Bragg reflection of the light in the visible…

Soft Condensed Matter · Physics 2024-04-08 H. Bogatyryova , V. Chornous , L. Lisetski , I. Gvozdovskyy