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In this paper, we study the inverse electromagnetic medium scattering problem of estimating the support and shape of medium scatterers from scattered electric or magnetic near-field data. We shall develop a novel direct sampling method…

Numerical Analysis · Mathematics 2015-06-12 Kazufumi Ito , Bangti Jin , Jun Zou

Inverse Compton scattering (ICS) is a promising method for generating coherent and tunable x-rays in a compact setup. In this paper, we present a theoretical framework describing the output of an ICS x-ray source for arbitrary interaction…

Accelerator Physics · Physics 2026-02-06 C. W. Sweers , O. J. Luiten

We investigate theoretically the resonant inelastic x-ray scattering (RIXS) at the $K$ edge of Si on the basis of an ab initio calculation. We calculate the RIXS spectra with systematically varying transfered-momenta, incident-photon energy…

Materials Science · Physics 2007-05-23 Yunori Nisikawa , Manabu Usuda , Jun-ichi Igarashi

A rigorous mathematical model and an efficient computational method are proposed to solving the inverse elastic surface scattering problem which arises from the near-field imaging of periodic structures. We demonstrate how an enhanced…

Analysis of PDEs · Mathematics 2017-12-08 Huaian Diao , Peijun Li , Xiaokai Yuan

We calculate the resonant inelastic X-ray scattering (RIXS) response in a Mott insulator which is described by the Falicov-Kimball model. The model can be solved exactly within the single site dynamical mean-field theory (DMFT)…

Strongly Correlated Electrons · Physics 2015-03-31 Nandan Pakhira , J. K. Freericks , A. M. Shvaika

Resonant inelastic x-ray scattering (RIXS) has become a powerful tool in the study of the electronic structure of condensed matter. Although the linewidths of many RIXS features are narrow, the experimental broadening can often hamper the…

Strongly Correlated Electrons · Physics 2012-02-13 J. Laverock , A. R. H. Preston , D. Newby , K. E. Smith , S. B. Dugdale

The capability to probe the dispersion of elementary spin, charge, orbital, and lattice excitations has positioned resonant inelastic x-ray scattering (RIXS) at the forefront of photon science. In this work, we will investigate how RIXS can…

Superconductivity · Physics 2016-05-13 Pasquale Marra

An emerging application of resonant inelastic x-ray scattering (RIXS) is the study of lattice excitations and electron-phonon ($e$-ph) interactions in quantum materials. Despite the growing importance of this area of research, the community…

Strongly Correlated Electrons · Physics 2025-06-30 Jinu Thomas , Debshikha Banerjee , Alberto Nocera , Steven Johnston

We propose a new compressive imaging method for reconstructing 2D or 3D objects from their scattered wave-field measurements. Our method relies on a novel, nonlinear measurement model that can account for the multiple scattering phenomenon,…

Computer Vision and Pattern Recognition · Computer Science 2016-10-07 Hsiou-Yuan Liu , Ulugbek S. Kamilov , Dehong Liu , Hassan Mansour , Petros T. Boufounos

We compare several different ways of measuring the energy resolution for meV-resolved inelastic x-ray scattering (IXS): using scattering from poly(methyl methacrylate), PMMA, using scattering from borosilicate glass (Tempax), and using…

Materials Science · Physics 2021-03-17 Daisuke Ishikawa , Alfred Q. R. Baron

Intermediate Scattering Functions (ISF's) are measured for colloidal hard sphere systems using both Dynamic Light Scattering (DLS) and X-ray Photon Correlation Spectroscopy (XPCS). We compare the techniques, and discuss the advantages and…

Soft Condensed Matter · Physics 2015-05-19 V. A. Martinez , J. H. J Thijssen , F. Zontone , W. van Megen , G. Bryant

Nonresonant inelastic x-ray scattering (NIXS) is a possible tool to detect charge excitations in electron systems. In addition, multipole transitions at high-momentum-transfer region open a new possibility to determine orbital-selective…

Strongly Correlated Electrons · Physics 2015-11-11 Kenji Tsutsui , Eiji Kaneshita , Takami Tohyama

X-ray absorption spectroscopy (XAS) and resonant inelastic X-ray scattering (RIXS) are powerful probes of electronic structure owing to their chemical and orbital selectivity. For powder samples, however, interpreting RIXS spectral…

Materials Science · Physics 2026-05-12 Sihan Zhang , Oana Bunău , Marius Retegan , Pieter Glatzel

We develop a framework to evaluate the time-dependent resonant inelastic X-ray scattering (RIXS) signal with the use of non-equilibrium dynamical mean field theory simulations. The approach is based on the solution of a time-dependent…

Strongly Correlated Electrons · Physics 2021-03-24 Martin Eckstein , Philipp Werner

We study resonant inelastic x-ray scattering (RIXS) peaks corresponding to low energy particle-hole excited states of metallic FeTe and semi-metallic TiSe$_2$ for photon incident energy tuned near the $L_{3}$ absorption edge of Fe and Ti…

Materials Science · Physics 2014-07-04 B. Barbiellini , J. N. Hancock , C. Monney , Y. Joly , G. Ghiringhelli , L. Braicovich , T. Schmitt

This paper investigates the inverse biharmonic scattering problems of identifying the shape and location of the obstacle with phased and phaseless measurement data. A direct imaging method based on reverse time migration is proposed for…

Analysis of PDEs · Mathematics 2026-05-12 Tielei Zhu , Zhihao Ge

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…

The Cu K-edge resonant inelastic x-ray scattering (RIXS) spectrum in one-dimensional insulating cuprates is theoretically examined by using the exact diagonalization technique for the extended one-dimensional Hubbard model with nearest…

Strongly Correlated Electrons · Physics 2016-08-31 K. Tsutsui , T. Tohyama , S. Maekawa

We analyze theoretically the resonant inelastic x-ray scattering (RIXS) at the Ni K edge in the stripe-ordered state of La_{2-x}Sr_xNiO_4 at x=1/3. In the calculation of RIXS spectra, the stripe-ordered ground state is described within the…

Strongly Correlated Electrons · Physics 2012-01-18 Takuji Nomura , Eiji Kaneshita

A spectrograph is an optical instrument that disperses photons of different energies into distinct directions and space locations, and images photon spectra on a position-sensitive detector. Spectrographs consist of collimating, angular…

Optics · Physics 2015-06-11 Yuri Shvyd'ko