We are therefore convinced that by an efficient use of Radia one can design nearly any permanent magnet undulator or wiggler ab-initio, including the central field as well as the extremities. Excel Optics is a set of Microsoft Excel Sheets which performs linear and some non linear lattice computation. For example, one roughly needs 50 13 MB of memory to solve a geometry made of elements which roughly corresponds to elements in a FEM code for a similar precision on the field. It also generates a map file for tracking electrons in a tracking code like BETA. This might be one of the most significant advantages of the Radia over a FEM code. This example shows how to simulate a simple quadrupole magnet with hyperbolic pole faces and chamfer.
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Simple Dipole Magnet
A software for 3D magnetostatics. It is an iron dominated magnet where the field geometry in the gap of the yoke is dominated by the distribution of magnetization in the yoke rather than the field directly produced by the coils. In addition it computes and propagates wavefronts in various optical components such as mirrors, refractive lenses, zone plates, Examples of Radia Computations.
This might be one of the most significant advantages of the Radia over a FEM code. The code has been extensively benchmarked with respect to a commercial finite element code. This has a number of important consequences:.
The precision on a field integral computed with Radia only depends on the level of segmentation of the iron but not on the field sampling and boundary conditions at infinity as it is the case with FEM codes. Radia can solve a variety of problems with linear and nonlinear, isotropic and anisotropic magnetic materials such as iron and permanent magnets, respectively and, of course, with current-carrying elements of different shapes.
Excel Optics is a set of Microsoft Excel Sheets which performs linear and some non linear lattice computation. The Radia software package was designed for solving physical and technical problems one encounters during the development of Insertion Devices for Synchrotron Light Sources. It also generates gadia map file for tracking electrons in a tracking code like BETA.
Generating permanent magnet multipoles. In other words, accurate predictions of the magnetic field integrals are possible with Radia eventhough it may require a large segmentation of the ironwhich are practically impossible with FEM codes.
Pre and post processing of the field data is done in rdia Mathematica Language. Volume objects are created, material properties are applied to these objects. Example 2 of the Radia Distribution: The geometry creation is much simpler.
Volume objects are created, material properties are applied to these objects. The Radia package is ravia a 3D magnetostatics computer code optimized for Undulators and Wigglers. Geometries can be exported into 3D Mathematica objects for display and rendering in the Mathematica Front-End.
This make a file with the Mathematica notebook icon in the finder that is ready for a double-click. It allows a fast and very flexible optimization of the optics of charged particle in transport lines and circular machines. It solves it and provides some plots of the field. The Radia package is essentially a 3D magnetostatics computer code optimized for Undulators and Wigglers.
Scientific Software Developed by the ID Group
Pre- and post-processing of the field data is done in script languages Mathematica and Igor Macro Language, depending on the version. This is also planned to be improved in future versions. The number of elements required for a given precision on the prediction of the central field of an undulator is typically 20 times smaller in our approach than with a FEM code.
Field integrals can be computed using analytical formulas.
Purpose The Radia software package was designed for solving physical and technical problems one encounters during the development of Insertion Devices for Synchrotron Light Sources.
The essential drawback of Radia compared to a FEM code is the fast divergence of memory required for a given number of elements. The quadrupole already presented in the Example 6 is revisited. This example shows how to simulate a simple dipole magnet. Very Important hints to save memory and time during a Radia computation. Geometries opened to infinity are rafia easily simulated.
The CPU time required is also typically 20 times smaller.