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In this paper we present RELXILLDGRAD_NK, a relativistic reflection model in which the electron density of the accretion disk is allowed to have a radial power-law profile. The ionization parameter has also a non-constant radial profile and…

High Energy Astrophysical Phenomena · Physics 2021-12-22 Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi , Honghui Liu , Ashutosh Tripathi

We define a procedure to extract the oscillating part of a given nonlinear Power Spectrum, and derive an equation describing its evolution including the leading effects at all scales. The intermediate scales are taken into account by…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-16 Eugenio Noda , Marco Peloso , Massimo Pietroni

Here we present the first open-source radiative transfer model for computing the reflected light of exoplanets at any phase geometry, called PICASO: Planetary Intensity Code for Atmospheric Scattering Observations. This code, written in…

Earth and Planetary Astrophysics · Physics 2019-06-19 Natasha E. Batalha , Mark S. Marley , Nikole K. Lewis , Jonathan J. Fortney

Optical diffraction tomography relies on solving an inverse scattering problem governed by the wave equation. Classical reconstruction algorithms are based on linear approximations of the forward model (Born or Rytov), which limits their…

Computational Engineering, Finance, and Science · Computer Science 2017-09-01 Emmanuel Soubies , Thanh-An Pham , Michael Unser

Dust can play an important role in shaping the X-ray spectra and images of astrophysical sources. In this work we report on the implementation of dust in the ray-tracing platform RefleX. We illustrate the different effects associated to the…

High Energy Astrophysical Phenomena · Physics 2023-06-08 Claudio Ricci , Stéphane Paltani

The nonlinear Schroedinger model is a prototypical dispersive wave equation that features finite time blowup, either for supercritical exponents (for fixed dimension) or for supercritical dimensions (for fixed nonlinearity exponent). Upon…

Pattern Formation and Solitons · Physics 2022-07-20 S. J. Chapman , M. E. Kavousanakis , E. G. Charalampidis , I. G. Kevrekidis , P. G. Kevrekidis

To study binary neutron star systems and to interpret observational data such as gravitational-wave and kilonova signals, one needs an accurate description of the processes that take place during the final stages of the coalescence, e.g.,…

General Relativity and Quantum Cosmology · Physics 2022-07-12 Henrique Gieg , Federico Schianchi , Tim Dietrich , Maximiliano Ujevic

Deformable image registration (DIR), aiming to find spatial correspondence between images, is one of the most critical problems in the domain of medical image analysis. In this paper, we present a novel, generic, and accurate diffeomorphic…

Computer Vision and Pattern Recognition · Computer Science 2023-02-08 Yifan Wu , Tom Z. Jiahao , Jiancong Wang , Paul A. Yushkevich , M. Ani Hsieh , James C. Gee

We present a series of numerical models suitable for X-ray polarimetry of accreting systems. Firstly, we provide a spectropolarimetric routine that integrates reflection from inner optically thick walls of a geometrical torus of arbitrary…

High Energy Astrophysical Phenomena · Physics 2024-04-09 J. Podgorný , M. Dovčiak , F. Marin

We present a new and complete library of synthetic spectra for modeling the component of emission that is reflected from an illuminated accretion disk. The spectra were computed using an updated version of our code XILLVER that incorporates…

High Energy Astrophysical Phenomena · Physics 2015-06-15 J. Garcia , T. Dauser , C. S. Reynolds , T. R. Kallman , J. E. McClintock , J. Wilms , W. Eikmann

Two combined methods for computing solutions of time-varying semilinear differential-algebraic equations (descriptor systems) are obtained. When constructing the methods, time-varying spectral projectors which can be found numerically are…

Numerical Analysis · Mathematics 2026-03-18 Maria Filipkovska

We present new models for illuminated accretion disks, their structure and reprocessed emission. We consider the effects of incident X-rays on the surface of an accretion disk by solving simultaneously the equations of radiative transfer,…

High Energy Astrophysical Phenomena · Physics 2015-05-19 Javier Garcia , Timothy Kallman

The TAU code is a 1D line-by-line radiative transfer code, which is generally applicable for modelling transmission spectra of close-in extrasolar planets. The inputs are the assumed pressure-temperature profile of the planetary atmosphere,…

Earth and Planetary Astrophysics · Physics 2013-09-09 M. D. J. Hollis , M. Tessenyi , G. Tinetti

Extending previous work on $a_2^{(1)}$, we present a set of reflection matrices, which are explicit solutions to the $a_n^{(1)}$ boundary Yang-Baxter equation. Unlike solutions found previously these are multiplet-changing $K$-matrices, and…

High Energy Physics - Theory · Physics 2007-05-23 G. M. Gandenberger

In existing theoretical approaches to core-level excitations of transition-metal ions in solids relaxation and polarization effects due to the inner core hole are often ignored or described phenomenologically. Here we set up an ab initio…

Hybrid refractive-diffractive lenses combine the light efficiency of refractive lenses with the information encoding power of diffractive optical elements (DOE), showing great potential as the next generation of imaging systems. However,…

Graphics · Computer Science 2025-05-01 Xinge Yang , Matheus Souza , Kunyi Wang , Praneeth Chakravarthula , Qiang Fu , Wolfgang Heidrich

X-ray scattering patterns from emerging single particle experiments have commonly many missing or contaminated pixels. This complicates different analyses including projections on Fourier or other basis functions (for noise suppression,…

Data Analysis, Statistics and Probability · Physics 2014-11-19 Aliakbar Jafarpour

We present a new model to calculate reflection spectra of thin accretion disks in Kerr spacetimes. Our model includes the effect of returning radiation, which is the radiation that is emitted by the disk and returns to the disk because of…

A large fraction of accreting black hole and neutron stars systems present clear evidence of the reprocessing of X-rays in the atmosphere of an optically-thick accretion disk. The main hallmarks of X-ray reflection include fluorescent…

In this work we investigate the use of the Analytical Discrete Ordinates (ADO) method when solving the spectral approximation of the nonclassical transport equation. The spectral approximation is a recently developed method based on the…

Computational Physics · Physics 2022-03-02 Leonardo R. C. Moraes , Liliane B. Barichello , Ricardo C. Barros , Richard Vasques