xrt (XRayTracer)

Release:1.2.1 version history, plans
Date:September 20, 2016
Authors:Konstantin Klementiev (MAX IV Laboratory), Roman Chernikov (DESY Photon Science)
License:Open Source, MIT License

Package xrt (XRayTracer) is a python software library for ray tracing and wave propagation in x-ray regime. It is primarily meant for modeling synchrotron sources, beamlines and beamline elements. Includes a GUI tool for creating scripts.

 Intensity of vertically polarized undulator radiation on a transverse flat screen. The long axis is energy.

 Absorbed power and power density on a mirror at varying pitch angle.

 Vortex beam with l=1 and p=1. Colored by phase.

xrtQook – a GUI for creating scripts

The main interface to xrt is through a python script. Many examples of such scripts can be found in the supplied folder ‘examples’. The script imports the modules of xrt, instantiates beamline parts, such as synchrotron or geometric sources, various optical elements, apertures and screens, specifies required materials for reflection, refraction or diffraction, defines plots and sets job parameters.

The Qt tool xrtQook takes these ingredients and prepares a ready to use script that can be run within the tool itself or in an external Python context. xrtQook features a parallelly updated help panel that, unlike the main documentation, provides a complete list of parameters for the used classes, also including those from the parental classes. xrtQook writes/reads the recipes of beamlines into/from xml files.

In the present version, xrtQook does not provide automated generation of scans and does not create wave propagation sequences. For these two tasks, the corresponding script parts have to be written manually based on the supplied examples and the present documentation.

See a short tutorial for xrtQook.

Features of xrt

  • Rays and waves. Classical ray tracing and wave propagation via Kirchhoff integrals, also freely intermixed. No further approximations, such as thin lens or paraxial. The optical surfaces may have figure errors, analytical or measured. In wave propagation, partially coherent radiation is treated by incoherent addition of coherently diffracted fields generated per electron.
  • Publication quality graphics. 1D and 2D position histograms are simultaneously coded by hue and brightness. Typically, colors represent energy and brightness represents beam intensity. The user may select other quantities to be encoded by colors: angular and positional distributions, various polarization properties, beam categories, number of reflections, incidence angle etc. Brightness can also encode partial flux for a selected polarization and incident or absorbed power. Publication quality plots are provided by matplotlib with image formats PNG, PostScript, PDF and SVG.
  • Unlimited number of rays. The colored histograms are cumulative. The accumulation can be stopped and resumed.
  • Parallel execution. xrt can be run in parallel in several threads or processes (can be opted), which accelerates the execution on multi-core computers. Alternatively, xrt can use the power of GPUs via OpenCL for running special tasks such as the calculation of an undulator source or performing wave propagation.
  • Scripting in Python. xrt can be run within Python scripts to generate a series of images under changing geometrical or physical parameters. The image brightness and 1D histograms can be normalized to the global maximum throughout the series.
  • Synchrotron sources. Bending magnet, wiggler, undulator and elliptic undulator are calculated internally within xrt. There is also a legacy approach to sampling synchrotron sources using the codes ws and urgent which are parts of XOP package. Please look the section Comparison of synchrotron source codes for the comparison between the implementations. If the photon source is one of the synchrotron sources, the total flux in the beam is reported not just in number of rays but in physical units of ph/s. The total power or absorbed power can be opted instead of flux and is reported in W. The power density can be visualized by isolines. The magnetic gap of undulators can be tapered. Undulators can be calculated in near field. Custom magnetic field is also possible. Undulators can be calculated on GPU, with a high gain in computation speed, which is important for tapering and near field calculations.
  • Shapes. There are several predefined shapes of optical elements implemented as python classes. The inheritance mechanism simplifies creation of other shapes. The user specifies methods for the surface height and the surface normal. For asymmetric crystals, the normal to the atomic planes can be additionally given. The surface and the normals are defined either in local (x, y) coordinates or in user-defined parametric coordinates. Parametric representation enables closed shapes such as capillaries or wave guides. It also enables exact solutions for complex shapes (e.g. a logarithmic spiral) without any expansion. The methods of finding the intersections of rays with the surface are very robust and can cope with pathological cases as sharp surface kinks. Notice that the search for intersection points does not involve any approximation and has only numerical inaccuracy which is set by default as 1 fm. Any surface can be combined with a (differently and variably oriented) crystal structure and/or (variable) grating vector. Surfaces can be faceted.
  • Energy dispersive elements. Implemented are crystals in dynamical diffraction, gratings (also with efficiency calculations), Fresnel zone plates, Bragg-Fresnel optics and multilayers in dynamical diffraction. Crystals can work in Bragg or Laue cases, in reflection or in transmission. The two-field polarization phenomena are fully preserved, also within the Darwin diffraction plateau, thus enabling the ray tracing of crystal-based phase retarders.
  • Materials. The material properties are incorporated using three different tabulations of the scattering factors, with differently wide and differently dense energy meshes. Refractive index and absorption coefficient are calculated from the scattering factors. Two-surface bodies, such as plates or refractive lenses, are treated with both refraction and absorption.
  • Multiple reflections. xrt can trace multiple reflections in a single optical element. This is useful, for example in ‘whispering gallery’ optics or in Montel or Wolter mirrors.
  • Non-sequential optics. xrt can trace non-sequential optics where different parts of the incoming beam meet different surfaces. Examples of such optics are poly-capillaries and Wolter mirrors.
  • Singular optics. xrt correctly propagates vortex beams, which can be used for studying the creation of vortex beams by transmissive or reflective optics.
  • Global coordinate system. The optical elements are positioned in a global coordinate system. This is convenient for modeling a real synchrotron beamline. The coordinates in this system can be directly taken from a CAD library. The optical surfaces are defined in their local systems for the user’s convenience.
  • Beam categories. xrt discriminates rays by several categories: good, out, over and dead. This distinction simplifies the adjustment of entrance and exit slits. An alarm is triggered if the fraction of dead rays exceeds a specified level.
  • Portability. xrt runs on Windows and Unix-like platforms, wherever you can run python.
  • Examples. xrt comes with many examples; see the galleries, the links are at the top bar.


numpy, scipy and matplotlib are required. If you use OpenCL for calculations on GPU or CPU, you need AMD/NVIDIA drivers, Intel CPU only OpenCL runtime (these are search key words), pytools and pyopencl. Spyderlib (the foundation of Spyder IDE) is highly recommended for nicer view of xrtQook.

Python 2 and 3

The code can run in both Python branches without any modification.

Get xrt

xrt is available as source distribution from pypi.python.org and from GitHub. The distribution archive also includes tests, examples and the script generator xrtQook.


Unzip the .zip file into a suitable directory and use sys.path.append(path-to-xrt) in your script. You can also install xrt to the standard location by running python setup.py install from the directory where you have unzipped the archive, which is less convenient if you try different versions of xrt and/or different versions of python. Note that python-64-bit is by ~20% faster than the 32-bit version (tested with WinPython).


Josep Nicolás and Jordi Juanhuix (synchrotron Alba) are acknowledged for discussion and for their Matlab codes used as examples at early stages of the project. Summer students of DESY Andrew Geondzhian and Victoria Kabanova are acknowledged for their help in coding the classes of synchrotron sources. Rami Sankari and Alexei Preobrajenski (MAX IV Laboratory) are thanked for discussion, testing and comparing with external codes. Hasan Yavaş, Jozef Bednarčik, Dmitri Novikov and Alexey Zozulya (DESY Photon Science) are acknowledged for supplied cases. Hamed Tarawneh (MAX IV Laboratory) has initiated the custom field undulator project and supplied tables of magnetic field.

User’s Guide