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This study explores the use of synchrotron measurements as a nanometrology tool for blazed gratings. In grazing incidence geometry, one can measure both the conical diffraction and the diffuse scattering on the grating simultaneously in a…

Diffraction gratings with high upward diffraction efficiency and large effective length are required for chip-scale light detection and ranging. In this paper, we propose a diffraction grating based on a multilayer silicon nitride…

Under white light illumination, gratings produce an angular distribution of wavelengths dependent on the diffraction order and geometric parameters. However, previous studies of gratings are limited to at least one geometric parameter…

Grazing incidence x-ray scattering provides nanostructural information for thin film samples, but single images generally do not provide information on film thickness or the full complex index of refraction. Additionally, for thin films…

Applied Physics · Physics 2020-11-10 Peter J. Dudenas , Adam Z. Weber , Ahmet Kusoglu

The globalised cascaded scattering matrix technique is a well proven, practical method that can be used to simulate large accelerating RF structures in which realistic fabrication errors to be incorporated in an efficient manner without the…

Accelerator Physics · Physics 2014-11-18 I. Shinton , R. M. Jones

Resonant Inelastic X-Ray Scattering (RIXS) is a well-established tool for probing excitations in a wide range of materials. The measured spectra strongly depend on the scattering geometry, via its influence on the polarization of the…

Strongly Correlated Electrons · Physics 2026-05-18 Michelangelo Tagliavini , Fabian Wenzel , Maurits W. Haverkort

3D Gaussian Splatting has gained widespread adoption across diverse applications due to its exceptional rendering performance and visual quality. While most existing methods rely on rasterization to render Gaussians, recent research has…

Graphics · Computer Science 2026-01-29 Junseo Lee , Sangyun Jeon , Jungi Lee , Junyong Park , Jaewoong Sim

The implicit trace estimation problem asks for an approximation of the trace of a square matrix, accessed via matrix-vector products (matvecs). This paper designs new randomized algorithms, XTrace and XNysTrace, for the trace estimation…

Numerical Analysis · Mathematics 2024-01-09 Ethan N. Epperly , Joel A. Tropp , Robert J. Webber

Small-Angle Scattering (SAS) investigates structures in samples that generally range from approximately 0.5 nm to a few 100 nm. This can both be done for isotropic samples such as blends and liquids, as well as anisotropic samples such as…

Instrumentation and Detectors · Physics 2023-09-22 Sebastian Jaksch

Resonant Inelastic X-ray Scattering (RIXS) in the soft x-ray range is an element-specific energy-loss spectroscopy used to probe the electronic and magnetic excitations in strongly correlated solids. In the recent years, RIXS has been…

Several high priority subjects in astrophysics can be addressed by a state-of-the-art soft x-ray grating spectrometer (XGS). An Explorer-scale, large-area (> 1,000 cm2), high resolving power (R > 3,000) XGS is highly feasible based on…

Instrumentation and Methods for Astrophysics · Physics 2020-12-10 Ralf K. Heilmann , Alexander R. Bruccoleri , Jeffery Kolodziejczak , Jessica A. Gaskin , Stephen L. O'Dell , Ritwik Bhatia , Mark L. Schattenburg

Small-angle X-ray and neutron scattering experiments are used in many fields of the life sciences and condensed matter research to obtain answers to questions about the shape and size of nano-sized structures, typically in the range of 1 to…

Data Analysis, Statistics and Probability · Physics 2015-06-10 Ingo Breßler , Joachim Kohlbrecher , Andreas F. Thünemann

Utilizing a ray-tracing program, we have modeled the angular resolution of a short focal length (~2m), large field-of-view (3.1 square degrees), grazing incidence mirror shell. It has been previously shown in the literature that the…

We have developed an experimental system to simultaneously observe surface structure, morphology, composition, chemical state, and chemical activity for samples in gas phase environments. This is accomplished by simultaneously measuring…

Instrumentation and Detectors · Physics 2021-04-21 H. Kersell , P. Chen , H. Martins , Q. Lu , F. Brausse , B. -H. Liu , M. Blum , S. Roy , B. Rude , A. Kilcoyne , H. Bluhm , S. Nemšák

Arcus is a proposed soft x-ray grating spectrometer Explorer. It aims to explore cosmic feedback by mapping hot gases within and between galaxies and galaxy clusters and characterizing jets and winds from supermassive black holes, and to…

X-ray diffraction gratings play an essential role in high-resolution spectroscopy of astrophysical phenomena. We present some scientific highlights from the X-ray grating spectrometers (XGS) on board of the Chandra and XMM/Newton missions,…

Instrumentation and Methods for Astrophysics · Physics 2024-09-05 Ralf K. Heilmann , David P. Huenemoerder , Jake A. McCoy , Randall L. McEntaffer

Future NASA X-ray Observatories will shed light on a variety of high-energy astrophysical phenomena. Off-plane reflection gratings can be used to provide high throughput and spectral resolution in the 0.3--1.5 keV band, allowing for…

Instrumentation and Methods for Astrophysics · Physics 2015-06-17 Ryan Allured , Randall L. McEntaffer

Conventional surface-relief gratings are inefficient at deflecting normally-incident light by large angles. This constrains their use in many applications and limits the overall efficiency of any optical instrument integrating gratings.…

Optics · Physics 2021-11-19 Ashutosh Patri , Stephane Kena-Cohen , Christophe Caloz

Differentiable 3D Gaussian splatting has emerged as an efficient and flexible rendering technique for representing complex scenes from a collection of 2D views and enabling high-quality real-time novel-view synthesis. However, its reliance…

Graphics · Computer Science 2025-01-16 Meenakshi Krishnan , Liam Fowl , Ramani Duraiswami