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The well-known diffusion theory describes propagation of light and electromagnetic waves in complex media. While diffusion theory is known to fail both for predominant forward scattering or strong absorption, its precise range of validity…

Optics · Physics 2019-04-08 Maryna L. Meretska , Ravitej Uppu , Ad Lagendijk , Willem L. Vos

Solving crystal structures from kinematical X-ray or electron diffraction patterns of single crystals requires many more diffracted beams to be recorded than there are atoms in the structure, since the phases of the structure factors can…

Materials Science · Physics 2023-02-13 Christoph T. Koch

In this article we provide a comparison of classical dynamical x-ray diffraction theory with the dynamical theory for the wide-angle case. It is shown that it is possible for the true value of the angular variable to be introduced without…

Optics · Physics 2009-11-25 S. G. Podorov , A. Nazarkin

The difficulty of description of the radiative transfer in disordered photonic crystals arises from the necessity to consider on the equal footing the wave scattering by periodic modulations of the dielectric function and by its random…

Disordered Systems and Neural Networks · Physics 2009-10-16 M. V. Erementchouk , L. I. Deych , H. Noh , H. Cao , A. A. Lisyansky

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

Rapid modulation of the electromagnetic response in both time and space creates temporal boundaries in the medium and leads to time-reflection and time-refraction of light and to the eventual formation of the photonic time crystal within…

Optics · Physics 2024-10-01 Evgenii E. Narimanov

The report deals with classical and quantum descriptions of particles that interact with smooth random potentials, for example ultracold atoms in the dipole potential of an optical speckle pattern. In addition, a discussion of the link…

Optics · Physics 2007-05-23 Carsten Henkel

We study the coherence properties of optical vortices stored in atomic ensembles. In the presence of thermal diffusion, the topological nature of stored optical vortices is found not to guarantee slow decoherence. Instead the stored vortex…

Quantum Physics · Physics 2009-11-13 T. Wang , L. Zhao , L. Jiang , S. F. Yelin

We show that the nonlinear interactions between x rays and longer wavelengths in crystals depend strongly on the band structure and related properties. Consequently, these types of interactions can be used as a powerful probe for…

Optics · Physics 2019-12-04 Ron Cohen , Sharon Shwartz

An ab initio theory is devised for the x-ray photoabsorption cross section of atoms in the field of a moderately intense optical laser (800nm, 10^13 W/cm^2). The laser dresses the core-excited atomic states, which introduces a dependence of…

Atomic Physics · Physics 2013-03-25 Christian Buth , Robin Santra

The spectral-angular and angular distributions of parametric X-radiation for case of backward diffraction (particular case of Bragg geometry scheme) is discussed. It is shown that in case of Bragg geometry it is necessary to use dynamical…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vladimir G. Baryshevsky , Olga M. Lugovskaya

X-ray diffraction studies of nanoporous gold face the poorly understood diffraction scenario where large coherent crystals are riddled with nanoscale holes. Theoretical considerations derived in this study show that the ligament size of the…

Materials Science · Physics 2017-12-27 Matthias Graf , Bao-Nam Dinh Ngô , Jörg Weissmüller , Jürgen Markmann

The nonlinear quantum interaction of a linearly polarized x-ray probe beam with a focused intense standing laser wave is studied theoretically. Because of the tight focusing of the standing laser pulse, diffraction effects arise for the…

High Energy Physics - Phenomenology · Physics 2018-08-01 A. Di Piazza , K. Z. Hatsagortsyan , C. H. Keitel

In several areas of optics and photonics like wave propagation, digital holography, holographic microscopy, diffraction imaging, biomedical imaging and diffractive optics, the behavior of the electromagnetic waves has to be calculated with…

Optics · Physics 2018-02-14 Soheil Mehrabkhani , Thomas Schneider

We present a unified elucidation for the role temporal coherence properties of x-rays in surface x-ray standing wave analysis, under total external reflection condition. Analytical formulas have been derived that provide a direct relation…

Mesoscale and Nanoscale Physics · Physics 2014-06-16 M K Tiwari , Gangadhar Das

Diffraction from a lattice of periodically spaced crystals is a topic of current interest because of the great development of self-organised superlattices (SL) of nanocrystals (NC). The self-organisation of NC into SL has theoretical…

Materials Science · Physics 2022-04-28 Antonio Cervellino , Ruggero Frison

Free-electron lasers (FELs) can now generate temporally short, high power x-ray pulses of unprecedented brightness, even though their longitudinal coherence is relatively poor. The longitudinal coherence can be potentially improved by…

Accelerator Physics · Physics 2013-05-30 Ryan R. Lindberg , Yuri V. Shvyd'ko

A theory of light reflection and transmission by an optically thin nanocomposite slab which contains randomly distributed metal nanoparticles (NPs) is developed. The underlying model takes into account the reflection of light scattered by…

Optics · Physics 2021-04-13 V. G. Bordo

We predict theoretically the nondiffractive propagation of sonic waves in periodic acoustic media (sonic crystals), by expansion into a set of plane waves (Bloch mode expansion), and by finite difference time domain calculations of finite…

We discuss how the diffraction theory of a single translation bounded measure or a family of such measures can be understood within the framework of unitary group representations. This allows us to prove an orthogonality feature of measures…

Functional Analysis · Mathematics 2024-02-05 Daniel Lenz , Nicolae Strungaru
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