Open AccessA three‐dimensional magnetostatics computer code for insertion devices
Author(s) -
Chubar Oleg,
Elleaume Pascal,
Chavanne Joel
Publication year - 1998
Publication title -
journal of synchrotron radiation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.172
H-Index - 99
ISSN - 1600-5775
DOI - 10.1107/s0909049597013502
Subject(s) - magnetostatics , polyhedron , computer science , computation , solver , advanced photon source , computational science , boundary (topology) , electromagnet , magnet , field (mathematics) , physics , mathematical analysis , geometry , algorithm , magnetic field , particle accelerator , optics , mathematics , beam (structure) , quantum mechanics , programming language , pure mathematics
RADIA is a three‐dimensional magnetostatics computer code optimized for the design of undulators and wigglers. It solves boundary magnetostatics problems with magnetized and current‐carrying volumes using the boundary integral approach. The magnetized volumes can be arbitrary polyhedrons with non‐linear (iron) or linear anisotropic (permanent magnet) characteristics. The current‐carrying elements can be straight or curved blocks with rectangular cross sections. Boundary conditions are simulated by the technique of mirroring. Analytical formulae used for the computation of the field produced by a magnetized volume of a polyhedron shape are detailed. The RADIA code is written in object‐oriented C++ and interfaced to Mathematica [ Mathematica is a registered trademark of Wolfram Research, Inc.]. The code outperforms currently available finite‐element packages with respect to the CPU time of the solver and accuracy of the field integral estimations. An application of the code to the case of a wedge‐pole undulator is presented.