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A finite element approach to solve numerically the Takagi-Taupin equations expressed in a weak form is presented and applied to simulate X-ray reflectivity curves, spatial intensity distributions and focusing properties of bent perfect…

光学 · 物理学 2017-12-22 Ari-Pekka Honkanen , Claudio Ferrero , Jean-Pierre Guigay , Vito Mocella

We present a new approach for simulating x-ray nanobeam Bragg coherent diffraction patterns based on the Takagi-Taupin equations. Compared to conventional methods, the current approach can be universally applied to any weakly strained…

介观与纳米尺度物理 · 物理学 2024-07-12 T. Zhou , M. J. Cherukara , S. Kandel , M. Allain , N. Hua , O. Shpyrko , Y. Takamura , Z. Cai , S. O. Hruszkewycz , M. V. Holt

We present a treatise on solving the Takagi-Taupin equations in the case of a strain field with an additional, spatially slowly varying component (owing to \emph{e.g.}~heat expansion or angular compression). We show that the presence of…

光学 · 物理学 2016-06-03 Ari-Pekka Honkanen , Giulio Monaco , Simo Huotari

We demonstrate the use of the Fast Fourier Transform Beam Propagation Method (FFT BPM) to simulate dynamic diffraction effects, including scattering from deformed crystals with arbitrary shapes in Bragg, Laue, and asymmetric geometries. The…

光学 · 物理学 2026-01-13 Jacek Krzywinski , Aliaksei Halavanau

We present a formalism of x-ray dynamical diffraction from volume diffractive optics with large numerical aperture and high aspect ratio, in an analogy to the Takagi-Taupin equations for strained single crystals. We derive a set of basic…

We present simulations of Bragg Coherent X-ray Diffractive Imaging (CXDI) data from finite crystals in the frame of the dynamical theory of x-ray diffraction. The developed approach is based on numerical solution of modified Takagi-Taupin…

材料科学 · 物理学 2017-08-30 A. G. Shabalin , O. M. Yefanov , V. L. Nosik , V. A. Bushuev , I. A. Vartanyants

The model of nonlinear interaction of proper waves of photonic crystal with plane acoustic wave was developed. The formulation of the model is reduced to the eigenvalue problem, which can be solved by computer simulations. By means of the…

光学 · 物理学 2010-01-12 Z. A. Pyatakova

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…

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

Review of a matrix method used in optics of thin films for the calculation of reflectance, transmittance, absorptance, the electric field distribution inside the stack and the photonic dispersion considering the stack as perfect…

光学 · 物理学 2018-09-21 Leandro N. Acquaroli

We study the diffraction produced by a $PT$-symmetric volume Bragg grating that combines modulation of refractive index and gain/loss of the same periodicity with a quarter-period shift between them. Such a complex grating has a directional…

光学 · 物理学 2014-12-02 Mykola Kulishov , H. F. Jones , Bernard Kress

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…

计算物理 · 物理学 2007-05-23 Svetlana Sytova

Calculating dynamical diffraction patterns for X-ray topography and similar x-ray scattering-imaging techniques require the numerical integration of the Takagi-Taupin equations. This is usually performed with a simple second order finite…

计算物理 · 物理学 2022-02-24 Mads Carlsen , Hugh Simons

We study the diffraction produced by a slab of purely reflective PT-symmetric volume Bragg grating that combines modulations of refractive index and gain/loss of the same periodicity with a quarter-period shift between them. Such a complex…

光学 · 物理学 2023-07-19 Mykola Kulishov , H. F. Jones , Bernard Kress

A Python program for calculating the metrics necessary to perform information-theory based symmetry classifications and quantifications of transmission electron diffraction spot patterns is introduced. It is the first of its kind, in that…

材料科学 · 物理学 2022-05-10 Lukas von Koch , Peter Moeck

The NCrystal library provides a range of models for simulation of both elastic and inelastic scattering of thermal neutrons in a range of material structures. This article presents the available models for elastic scattering, and includes…

计算物理 · 物理学 2021-07-28 Thomas Kittelmann , Xiao-Xiao Cai

The paper shows that silicon-based 2D photonic crystal can be a promising material for acoustooptical devices. Isotropic and anisotropic Bragg diffraction of light in photonic crystal is considered. The computational method for calculation…

其他凝聚态物理 · 物理学 2008-09-01 Z. A. Pyatakova

The time-dependent Bragg diffraction by multilayer gratings working by reflection or by transmission is investigated. The study is performed by generalizing the time-dependent coupled-wave theory previously developed for one-dimensional…

其他凝聚态物理 · 物理学 2015-11-26 Jean-Michel André , Philippe Jonnard

The use of strongly bent crystals in spectrometers for pulses of a hard x-ray free-electron laser is explored theoretically. Diffraction is calculated in both dynamical and kinematical theories. It is shown that diffraction can be treated…

仪器与探测器 · 物理学 2019-05-28 Vladimir Kaganer , Ilia Petrov , Liubov Samoylova

We present a general analytic approach to spatially resolve the nano-scale lattice distortion field of strained and defected compact crystals with Bragg coherent x-ray diffraction imaging (BCDI). Our approach relies on fitting a…

The problem of diffraction of an electromagnetic plane wave by a perfectly conducting circular disk and its complementary problem, diffraction by a circular hole in an infinite conducting plate, are rigorously solved using the method of the…

经典物理 · 物理学 2010-04-30 Muhammad Adnan Shahzad
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