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We propose an application of the Angular X-ray Cross-Correlation Analysis (AXCCA) to the scattered intensity distribution measured in three-dimensional (3D) reciprocal space from a single crystalline sample. Contrary to the conventional…

Mesoscale and Nanoscale Physics · Physics 2022-02-18 Dmitry Lapkin , Anatoly Shabalin , Janne-Mieke Meijer , Ruslan Kurta , Michael Sprung , Andrei V. Petukhov , Ivan A. Vartanyants

Established x-ray diffraction methods allow for high-resolution structure determination of crystals, crystallized protein structures or even single molecules. While these techniques rely on coherent scattering, incoherent processes like…

We study theoretically the spatial correlations between the intensities measured at the input and output planes of a disordered scattering medium. We show that at large optical thicknesses, a long-range spatial correlation persists and…

Optics · Physics 2015-09-23 N. Fayard , A. Cazé , R. Pierrat , R. Carminati

We present a theoretical study of frequency correlations of light backscattered from a random scattering medium. This statistical quantity provides insight into the dynamics of multiple scattering processes accessible both, in theoretical…

Optics · Physics 2015-06-23 Angelika Knothe , Thomas Wellens

We study the angular correlation function of speckle patterns that result from multiple scattering of photons by cold atomic clouds. We show that this correlation function becomes larger than the value given by Rayleigh law for classical…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 O. Assaf , E. Akkermans

We obtain explicit expressions for the correlation functions of transmission and reflection coefficients of coherent electronic waves propagating through a disordered quasi-one-dimensional medium with purely elastic diffusive scattering in…

Condensed Matter · Physics 2009-10-22 A. M. S. Macedo

Motivated by recent experiments on intensity correlations of the waves transmitted through disordered media, we demonstrate that the speckle pattern from disordered photonic crystal with incomplete band-gap represents a sensitive tool for…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. M. Apalkov , M. E. Raikh , B. Shapiro

We consider a realistic model for calculating the cross-spectral density of partially coherent beams from an x-ray undulator in a modern storage ring. This two-point coherence function is seen to have a speckled structure associated with…

Optics · Physics 2019-10-16 David M. Paganin , Manuel Sanchez del Rio

We introduce a theoretical formalism to describe disorder-induced extrinsic scattering in slow-light photonic crystal waveguides. This work details and extends the optical scattering theory used in a recent \emph{Physical Review Letter} [M.…

Mesoscale and Nanoscale Physics · Physics 2013-05-31 M. Patterson , S. Hughes

A new, different kind of intensity correlation, denoted as polarization based intensity correlation, is proposed and investigated to study the correlation between different polarization components of polarization speckle, which has…

Optics · Physics 2019-11-20 Abhijit Roy , Maruthi M. Brundavanam

The passive estimation of impulse responses from ambient noise correlations arouses increasing interest in seismology, acoustics, optics and electromagnetism. Assuming the equipartition of the noise field, the cross-correlation function…

Photon correlations and cross-correlations of light scattered by a regular structure of strongly driven atoms are investigated. At strong driving, the scattered light separates into distinct spectral bands, such that each band can be…

Quantum Physics · Physics 2007-05-23 M. Macovei , J. Evers , C. H. Keitel

Exact analytical expressions for the cross-section correlation functions of chaotic scattering sys- tems have hitherto been derived only under special conditions. The objective of the present article is to provide expressions that are…

Chaotic Dynamics · Physics 2016-10-19 Torleif Ericson , Barbara Dietz , Achim Richter

We applied the analysis of x-ray intensity angular correlation function to dilute ensembles of identical spinel crystals. Firstly, we show that the angular correlation from measured diffraction patterns with many crystals per shot converges…

Materials Science · Physics 2017-01-27 Yun Zhao

We investigate the mechanism of the resonant X-ray scattering on the Ti $K$ edge region of YTiO$_3$ using the band structure calculation combined with the local density approximation. A large intensity is obtained for the orbital…

Strongly Correlated Electrons · Physics 2007-05-23 Manabu Takahashi , Jun-ichi Igarashi

We review recent progress in analysing wave scattering in systems with both intrinsic chaos and/or disorder and internal losses, when the scattering matrix is no longer unitary. By mapping the problem onto a nonlinear supersymmetric…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. V. Fyodorov , D. V. Savin , H. -J. Sommers

The role of inhomegeneity in determining the properties of correlated electron systems is poorly understood because of the dearth of structural probes of disorder at the nanoscale. Advances in both neutron and x-ray scattering…

Strongly Correlated Electrons · Physics 2025-03-19 Raymond Osborn , Damjan Pelc , Matthew Krogstad , Stephan Rosenkranz , Martin Greven

We express the cross section for indirect resonant inelastic X-ray scattering in terms of an intrinsic dynamic correlation function of the system that is studied with this technique. The cross section is a linear combination of the charge…

Strongly Correlated Electrons · Physics 2015-06-24 Jeroen van den Brink , Michel van Veenendaal

The topological nature of the disorder of glasses and supercooled liquids strongly affects their high-frequency dynamics. In order to understand its main features, we analytically studied a simple topologically disordered model, where the…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio

Disordered dielectrics with structural correlations on length scales comparable to visible light wavelengths exhibit complex optical properties. Such materials exist in nature, leading to beautiful structural non-iridescent color, and they…

Optics · Physics 2022-02-02 Pavel Yazhgur , Geoffroy J. Aubry , Luis S. Froufe , Frank Scheffold
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