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One of the most important parameters determining the sensitivity of X-ray telescopes is their effective area as a function of the X-ray energy. The computation of the effective area of a Wolter-I mirror, with either a single layer or…

Instrumentation and Methods for Astrophysics · Physics 2015-09-15 D. Spiga , V. Cotroneo

Rotating modulation is a technique for indirect imaging in the hard x-ray and soft gamma-ray energy bands, which may offer an advantage over coded aperture imaging at high energies. A rotating modulator (RM) consists of a single mask of…

Instrumentation and Methods for Astrophysics · Physics 2011-04-15 Brent S. Budden , Mark R. Budden , Gary L. Case , Michael L. Cherry

Partial Isometries are important constructs that help give nontrivial solutions once a simple solution is known. We generalize this notion to Extended Partial Isometries and include operators which have right inverses but no left inverses…

High Energy Physics - Theory · Physics 2007-05-23 Tewodros Amdeberhan , Arvind Ayyer

Optical modules for X-ray telescopes comprise several double-reflection mirrors operating in grazing incidence. The concentration power of an optical module, which determines primarily the telescope's sensitivity, is in general expressed by…

Instrumentation and Methods for Astrophysics · Physics 2011-03-28 Daniele Spiga

In this paper we report on the feasibility of light confinement in orbital geodesics on stationary, planar, and centro-symmetric refractive index mappings. Constrained to fabrication and [meta]material limitations, the refractive index, n,…

Mathematical Physics · Physics 2013-04-02 Damián P. San-Román-Alerigi , Ahmed Benslimane , Tien K. Ng , Mohammad Alsunaidi , Boon S. Ooi

Recovering the spatial layout of the cameras and the geometry of the scene from extreme-view images is a longstanding challenge in computer vision. Prevailing 3D reconstruction algorithms often adopt the image matching paradigm and presume…

Computer Vision and Pattern Recognition · Computer Science 2022-06-17 Wei-Chiu Ma , Anqi Joyce Yang , Shenlong Wang , Raquel Urtasun , Antonio Torralba

Conformal transformation optics provides a simple scheme for manipulating light rays with inhomogeneous isotropic dielectrics. However, there is usually discontinuity for refractive index profile at branch cuts of different virtual Riemann…

Optics · Physics 2018-02-08 Lin Xu , Tomáš Tyc , Huanyang Chen

We present an elementary proof concerning reciprocal transmittances and reflectances. The proof is direct, simple, and valid for the diverse objects that can be absorptive and induce diffraction and scattering, as long as the objects…

This paper describes a method for parametric radial profile modelling of radio interferometric visibility data. Image-based parametric modelling is common in the field of circumstellar debris disks, and high resolution ALMA observations…

Instrumentation and Methods for Astrophysics · Physics 2025-02-26 Grant M. Kennedy

Wide Range Reciprocal Space Mapping (WR-RSM) is a technique that allows visualisation of the geometric relationships among multiple hkl spots in a single reciprocal space map. However, current commercial software for reconstructing WR-RSM…

Instrumentation and Detectors · Physics 2025-11-13 Xiaodong Wang , Michael W. M. Jones , Adam Smith

In Magnetic Resonance Imaging (MRI) data samples are collected in the spatial frequency domain (k-space), typically by time-consuming line-by-line scanning on a Cartesian grid. Scans can be accelerated by simultaneous acquisition of data…

Medical Physics · Physics 2015-03-24 Vivek Athalye , Michael Lustig , Martin Uecker

We consider imaging of fast moving small objects in space, such as low earth orbit satellites, which are also rotating around a fixed axis. The imaging system consists of ground based, asynchronous sources of radiation and several passive…

Signal Processing · Electrical Eng. & Systems 2021-11-03 Matan Leibovich , George Papanicolaou , Chrysoula Tsogka

In a previous paper, we reviewed theoretically some of the available processing schemes for X-ray wavefront sensing based on random modulation. We here show experimental applications of the technique for characterising both refractive and…

Instrumentation and Detectors · Physics 2020-02-24 Sebastien Berujon , Ruxandra Cojocaru , Pierre Piault , Rafael Celestre , Thomas Roth , Raymond Barrett , Eric Ziegler

An optical security element containing an area of random rough relief is proposed. It combines the low cost of mass replication inherent in traditional security holograms with the impossibility of holographic copying, when the wave restored…

Cryptography and Security · Computer Science 2024-04-16 A. M. Smolovich , A. V. Frolov , L. D. Klebanov , I. D. Laktaev , A. P. Orlov , P. A. Smolovich , O. V. Butov

The recent surge of interest in temporal modulation schemes to induce magnet-free non-reciprocity has inspired several exciting opportunities for photonic technology. Here, we investigate a scheme to realize free-space isolators and highly…

Optics · Physics 2018-03-14 Romain Fleury , Dimitrios L. Sounas , Andrea Alu

In this study, we used parallel plane mirror resonator analogy to design all-dielectric optical resonator that is performed with the objective-first inverse design algorithm. Confinement of the light is succeeded via predefined objective…

Optics · Physics 2020-04-22 Mediha Tutgun , Done Yilmaz , Aydan Yeltik , Mirbek Turduev , Hamza Kurt

The reciprocity approach is a powerful method to determine the expected signal power of axion haloscopes in a model-independent way. Especially for open and broadband setups like the MADMAX dielectric haloscope the sensitivity to the axion…

We consider the imaging of cosmic strings by using Cosmic Microwave Background (CMB) data. Mathematically, we study the inversion of an X-ray transform in Lorentzian geometry, called the light ray transform. The inverse problem is highly…

Numerical Analysis · Mathematics 2024-05-06 Julianne Chung , Lucas Onisk , Yiran Wang

X-ray diffusive dark-field imaging, which allows spatially unresolved microstructure to be mapped across a sample, is an increasingly popular tool in an array of settings. Here, we present a new algorithm for phase and dark-field computed…

Medical Physics · Physics 2023-12-07 T. A. Leatham , D. M. Paganin , K. S. Morgan

Holographic coherent X-ray imaging enables nanoscale imaging of biological cells and tissues, rendering both phase and absorption contrast, i.e. real and imaginary parts of the refractive index. Unlike the standard model, which assumes a…

Analysis of PDEs · Mathematics 2026-05-29 Thorsten Hohage , Milad Karimi , Björn Müller