| The thesis deals with non-ferrous two-dimensional arrays of line currents, creating magnetic fields suitable for guiding or focusing charged particle beams. Complex potential theory is used throughout. Methods have been found to shape the desired fields and to reduce the stray fields which are lower than those of the ferromagnetic equivalents. Harmonic analysis shows that the quality of the useful field is on a par with the state of the art. In addition to cartesian coordinates, the complex potential theory is extended to elliptic coordinates. The current distributions and their combinations are applied on either concentric circles or on confocal ellipses. It provides greater freedom in shaping the aspect ratio of the useful field. Treated in detail is the proposed dc superconducting inflector the muon g-2 experiment at Brookhaven National Laboratory. Optional designs together with the R&D results about the physical realizations are described. Stray field measurements and three-dimensional force calculations have been used for investigating the end effects. A combined function magnet is developed, scaled to the BNL alternating gradient synchrotron. The principle of a dual beam facility has been advanced to match the requirement of colliders, such as the SSC project. |
