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Modern X-ray spectroscopy has proven itself as a robust tool for probing the electronic structure of atoms in complex environments. Despite working on energy scales that are much larger than those corresponding to nuclear motions, taking…

Chemical Physics · Physics 2017-06-28 Sven Karsten , Sergey I. Bokarev , Saadullah G. Aziz , Sergei D. Ivanov , Oliver Kühn

In this paper we present a methodology for increasing the accuracy and accelerating the convergence of numerical methods for solution of Maxwell's equations in the frequency domain by taking into account the be-havior of the electromagnetic…

Computational Physics · Physics 2021-06-30 Igor Semenikhin

We study, for times of order 1/h, solutions of Maxwell's equations in an O(h^2) modulation of an h-periodic medium. The solutions are of slowly varying amplitude type built on Bloch plane waves with wavelength of order h. We construct…

Analysis of PDEs · Mathematics 2014-01-29 Grégoire Allaire , Mariapia Palombaro , Jeffrey Rauch

Based on the results of exact consideration of electron-ion Coulomb interaction, by numerical simulations for ultimate absorption coefficient, we study the practically more interesting case of absorption of hard x-ray quanta of frequency…

Plasma Physics · Physics 2019-05-22 A. G. Ghazaryan

The solution to Maxwell-Bloch systems using an integral-equation-based framework has proven effective at capturing collective features of laser-driven and radiation-coupled quantum dots, such as light localization and modifications of Rabi…

Computational Physics · Physics 2019-10-22 C. Glosser , E. Lu , T. J. Bertus , C. Piermarocchi , B. Shanker

Vibrationally resolved near-edge x-ray absorption spectra at the K-edge for a number of small molecules have been computed from anharmonic vibrational configuration interaction calculations of the Franck-Condon factors. The potential energy…

Chemical Physics · Physics 2021-02-03 Torsha Moitra , Diana Madsen , Ove Christiansen , Sonia Coriani

Phase retrieval is at the heart of adaptive optics and modern high-resolution imaging. Without phase information, optical systems are limited to intensity-only measurements, hindering full reconstruction of object structures and wavefront…

We derive relativistic Maxwell-Bloch equations for potential applications in astronomical environments, where various radiative processes are known to occur, including the maser action and Dicke's superradiance. We show that for both…

Quantum Physics · Physics 2026-04-15 Ningyan Fang , Victor Botez , Fereshteh Rajabi , Martin Houde

We present three schemes to go beyond the electric-dipole approximation in X-ray absorption spectroscopy calculations within a four-component relativistic framework. The first is based on the full semi-classical light-matter interaction…

Chemical Physics · Physics 2021-07-02 Nanna Holmgaard List , Timothé Romain Léo Melin , Martin van Horn , Trond Saue

Thermal X-ray spectra of clusters of galaxies and other sources are commonly calculated assuming Maxwellian electron distributions. There are situations where this approximation is not valid, for instance near interfaces of hot and cold gas…

High Energy Astrophysical Phenomena · Physics 2015-05-13 J. S. Kaastra , A. M. Bykov , N. Werner

Improving our understanding of electron dynamics is essential for advancing energy transfer, optoelectronics, light harvesting systems and quantum computing. Recent developments in attosecond x-ray sources provide the fundamental…

Computational Physics · Physics 2025-11-26 Maksim Radionov , Daria Popova-Gorelova

X-ray polarimetry has great scientific potential and new experiments, such as X-Calibur, PoGOLite, XIPE, and GEMS, will not only be orders of magnitude more sensitive than previous missions, but also provide the capability to measure…

Instrumentation and Methods for Astrophysics · Physics 2015-03-03 Fabian Kislat , Matthias Beilicke , Qingzhen Guo , Anna Zajczyk , Henric Krawczynski

In recent years, ultrafast pump-probe spectroscopy has provided insightful information about nonequilibrium dynamics of excitations in materials. In a typical experiment of time-resolved x-ray absorption spectroscopy, the systems are…

Strongly Correlated Electrons · Physics 2019-05-29 Chen-Yen Lai , Jian-Xin Zhu

X-ray absorption spectroscopy and X-ray magnetic circular dichroism have long served as indispensable tools for probing the electronic and magnetic properties of transition-metal compounds with elemental selectivity. In recent years, the…

Materials Science · Physics 2026-05-11 Hiroki Wadati , Kohei Yamamoto , Kohei Yamagami

Studies of ultrafast dynamics along with femtosecond-pulse metrology rely on non-linear processes, induced solely by the exciting/probing pulses or the pulses to be characterized. Extension of these approaches to the extreme-ultraviolet…

Atomic Physics · Physics 2015-05-27 P. Tzallas , E. Skantzakis , L. A. A. Nikolopoulos , G. D. Tsakiris , D. Charalambidis

In this paper, we present an accurate numerical method for the time-harmonic Maxwell's equations for bi-periodic multilayered media with quasi-periodic incident waves using the Method of Fundamental Solutions in conjunction with a…

Numerical Analysis · Mathematics 2026-05-18 Jared Weed , Bowei Wu , Jingfang Huang , Min Hyung Cho

This paper presents a fast and robust numerical method for reconstructing point-like sources in the time-harmonic Maxwell's equations given Cauchy data at a fixed frequency. This is an electromagnetic inverse source problem with broad…

Numerical Analysis · Mathematics 2024-12-17 Isaac Harris , Thu Le , Dinh-Liem Nguyen

This chapter introduces the use of X-ray absorption spectroscopy (XAS) in studying the local electronic and atomic structure of high-entropy materials. The element selectivity of XAS makes it particularly suitable to address the challenges…

Materials Science · Physics 2024-11-12 Alexei Kuzmin

X-ray spectral fitting of astronomical sources requires convolving the intrinsic spectrum or model with the instrumental response. Standard forward modeling techniques have proven success in recovering the underlying physical parameters in…

Instrumentation and Methods for Astrophysics · Physics 2021-05-21 Carter Lee Rhea , Julie Hlavacek-Larrondo , Ralph Kraft , Akos Bogdan , Rudy Geelen

We discuss the issue of radiation extraction in asymptotically flat space-times within the framework of conformal methods for numerical relativity. Our aim is to show that there exists a well defined and accurate extraction procedure which…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Frauendiener