One  finds below a number of examples of radia computations illustrating some particular aspects of  a 3D magnetostatic study. One should remember that a complete description of each Radia functions is provided in html format in the distribution. The user interested in more information  concerning a particular radia function should refer to this documentation. One should consider the examples of this page as a complement to the documentation intended to help the user getting started for a particular  problem. The examples listed have been produced by various members of the ESRF ID group. We welcome anyone interested  to provide more examples.  This page will probably grow with time and will constitute a set of  computation templates that can be useful  for both the novice and experienced user.

• Selfinductance : Self and mutual inductance omputation of  a set of coils with or without iron.
• Force and torque computation between coils iron volumes and magnet volumes.
• Very Important hints to save memory and time during a Radia computation.
• Compute the trajectory of an electron in a 3D magnetic field by means of a Runge Kutta integration
• A Notebook ready to be used to optimize the termination of an Apple-II undulator with negligible horizontal and vertical field integrals at any gap and phase.
• Multipoles : Generating permanent magnet multipoles.
• How to simulate the reversible and irreversible Demagnetization of a permanent magnet under temperature. The application is made with a spherically shaped permanent magnet block.
• RadiaToTrack is a notebook which computes magnetic field and focusing (tune shifts) experienced by an electron at an arbitrary injection position. It also generates a map file for tracking electrons in a tracking code like BETA . This makes possible the accurate and fast computation of the reduction of the dynamic aperture induced by insertion devices. In order to ease the use of such files by an other tracking code, the tracking algorithm implemented in BETA is presented in details. A number of predefine functions allow an easy generation of vertical /horizontal field pure-permanent magnet undulators/wigglers, hybrid (with and without side blocks) vertical field devices and Helios, AppleII or Spring-8 type variable polarization undulators.
• Shim : A tutorial example explaining how to compute the field and field integral signature produced by an iron shim located at the surface of a pure permanent magnet array.
• ShimHyb : The same as above but the shim is placed on the surface of an hybrid undulator structure.
• Sextupole. A simple and rudimentary sextupole example which illustrates the use of rotationnal symmetries with a multiplicity different than a power of 2. This example also make use of more advanced mathematica type programming to automatize the optimization of geomertrical and/or magnetic parameters.
• Quad. The quadrupole already presented in the Example#6 is revisited. A deeper use of the Mathematica language is made which allows an easy systematic study of the effect of each parameters such as segmentation, dimensions, chamfer, current density... This example could serve as a starting template for a complete 3D design and optimization of a qaudrupole magnet.
• ElecUnd : A simple notebook to compute and optimize the central field and power consumption of an electromagnet undulator.