A Method for Generating a Cylindrical Homogenous Magnetic Field Volume

摘要

The synthesis of a uniform magnetic field along the axis of a system of coaxial coils and solenoids is discussed. Both ideal (thin) and real (thick) sources are treated. A field of specified constant intensity throughout some system length is synthesized by varying the turn density on solenoids and the position of Helmholtz-like coils subject to constraints imposed by access spaces. Given the axial field to be generated and the interval which is to be accessible, an integral equation is derived which the turn density must satisfy. The integral equation is a Fredholm equation of the first kind. Analytic solution of the equation by standard techniques fails. Methods of numerical solution are used to obtain the turn density. The resulting computer programs are easily adaptable for the numerical solution of any Fredholm integral equation of the first kind. (Author)