Alongside the mathematical foundations of field computation, this book concentrates on its application to the electromagnetic design of accelerator magnets and solenoids. The methods presented here have been implemented in the CERN field computation program, ROXIE, which is thus applied to the integrated design process, from the concept phase to CAD/CAM and the tracing of manufacturing errors. In turn, the design problems are arranged according to the mathematical methods required for their solution, thus emphasizing their universal use in other challenging applications in electrical engineering. It also highlights the fact that many of the aspects have a role to play in real-world applications.
The book's twenty chapters span the following key topics:
* algebraic structures and vector fields
* classical vector analysis
* foundations of analytical field computation
* the calculation of iron- and coil-dominated magnets
* complex analysis methods for magnet design
* magnet polarity issues
* elementary beam optics
* numerical field calculation using finite- and boundary-elements
* time transient effects in superconducting magnets
* quench simulation, and
* mathematical optimization techniques.
Throughout, the author shares his vast experience in the design of magnet systems at CERN to illustrate the analytical and numerical concepts he describes.