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We demonstrate how the mixed dynamic form factor (MDFF) can be interpreted as a quadratic form. This makes it possible to use matrix diagonalization methods to reduce the number of terms that need to be taken into account when calculating…

Materials Science · Physics 2017-02-16 Stefan Löffler , Viktoria Motsch , Peter Schattschneider

In this paper, based on the analysis of the formula (2.2) for calculating the elastic scattering diagrams of microparticles on a multilayer crystal surface, derived by the author in the article [3], it is shown that the stochastic approach…

General Physics · Physics 2021-10-04 Mikhail Batanov-Gaukhman

X-ray magnetic circular dichroism spectroscopy using an X-ray free electron laser is demonstrated with spectra over the Fe L$_{3,2}$-edges. This new ultrafast time-resolved capability is then applied to a fluence-dependent study of…

We present a pattern-recognition based approach to the problem of removal of polarized fringes from spectro-polarimetric data. We demonstrate that 2D Principal Component Analysis can be trained on a given spectro-polarimetric map in order…

Instrumentation and Methods for Astrophysics · Physics 2015-06-11 R. Casini , P. G. Judge , T. A. Schad

The recently developed technique of Cyclotron Radiation Emission Spectroscopy (CRES) uses frequency information from the cyclotron motion of an electron in a magnetic bottle to infer its kinetic energy. Here we derive the expected radio…

We present detailed elaboration and first generally applicable linearization routines of the \textit{Parameter Space Concept} (PSC) for determining 1-dimensionally projected structures of $m$ independent scatterers. This crystal…

Computational Physics · Physics 2024-11-14 Muthu Vallinayagam , Melanie Nentwich , Dirk C. Meyer , Matthias Zschornak

In this paper, a systematic approach is employed to design a photonic crystal with a boundary between positive and negative refraction to boost the refractive properties of the crystal. Mathematical techniques are employed to turn the…

Optics · Physics 2023-06-28 Saeed Pahlavan

Chiral crystals show promise for spintronic technologies on account of their high spin selectivity, which has led to significant recent interest in quantitative characterization and first-principles prediction of their spin-optoelectronics…

Materials Science · Physics 2023-12-05 Christian Multunas , Andrew Grieder , Junqing Xu , Yuan Ping , Ravishankar Sundararaman

This paper is concerned with uniqueness, phase retrieval and shape reconstruction methods for solving inverse electromagnetic source scattering problems with multi-frequency sparse phased or phaseless far field data. With the phased data,…

Analysis of PDEs · Mathematics 2019-06-07 Xia Ji , Xiaodong Liu

Compact direct electron detectors are becoming increasingly popular in electron microscopy applications including electron backscatter diffraction, as they offer an opportunity for low cost and accessible microstructural analysis. In this…

Materials Science · Physics 2025-10-17 Tianbi Zhang , Ruth Birch , Graeme Francolini , Ebru Karakurt Uluscu , Ben Britton

We propose a new model-free feature screening method based on energy distances for ultrahigh-dimensional binary classification problems. With a high probability, the proposed method retains only relevant features after discarding all the…

Methodology · Statistics 2023-05-19 Sarbojit Roy , Soham Sarkar , Subhajit Dutta , Anil K. Ghosh

Experimental investigations of ultrafast magnetization dynamics increasingly employ resonant magnetic spectroscopy in the ultraviolet spectral range. Besides allowing to disentangle the element-specific transient response of functional…

Recent advancements in abilities to create and manipulate the electron's transverse wave function within the transmission electron microscope (TEM) and scanning TEM (STEM) have enabled vectorially-resolved electron energy loss (EEL) and…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Austin G. Nixon , Matthieu Chalifour , Marc R. Bourgeois , Michael Sanchez , David J. Masiello

Circular Dichroism (CD) spectroscopy has evolved from a purely solution based method towards a powerful tool in the analysis of chiral thin films. Although a straightforward technique, the genuine CD signal is often accompanied by artifacts…

Numerous vector angular spectrum methods have been presented to model the vectorial nature of diffractive electromagnetic field, facilitating optical field engineering in polarization-related and high numerical aperture systems. However,…

Optics · Physics 2025-09-29 Chengda Song , Jing He , Guanghui Yuan

We report a method for acquiring Foucault images and small-angle electron diffraction patterns in external magnetic fields using a conventional transmission electron microscope without any modification. In the electron optical system that…

Materials Science · Physics 2019-11-06 Hiroshi Nakajima , Atsuhiro Kotani , Ken Harada , Yui Ishii , Shigeo Mori

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…

Classical Physics · Physics 2010-04-30 Muhammad Adnan Shahzad

In this paper we present the results of a systematic numerical analysis of the channeling properties of electrons and positrons in oriented straight and periodically bent diamond(110) crystals. We analyse dependence of the intensity of the…

Accelerator Physics · Physics 2020-03-31 Alexander V. Pavlov , Andrei V. Korol , Vadim K. Ivanov , Andrey V. Solov'yov

In materials science and particularly electron microscopy, Electron Back-scatter Diffraction (EBSD) is a common and powerful mapping technique for collecting local crystallographic data at the sub-micron scale. The quality of the…

Computer Vision and Pattern Recognition · Computer Science 2019-03-08 Florian Strub , Marie-Agathe Charpagne , Tresa M. Pollock

Analyzing large X-ray diffraction (XRD) datasets is a key step in high-throughput mapping of the compositional phase diagrams of combinatorial materials libraries. Optimizing and automating this task can help accelerate the process of…