Generation and confinement of uniform magnetic fields with distributions of surface currents
This paper presents the methodology for generation and confinement of a uniform magnetic field of intensity H/sub 0/ in an arbitrary assigned polyhedral cavity C enclosed by planar surfaces s/sub h/. The design methodology presented in this paper can generate novel self-shielding polyhedral structures of surface currents. Unlike in conventional solenoid magnet, the field generated by these structures is perpendicular to the main axis of the cavity.
Equivalent structures of permanent magnets and electric currents designed to generate uniform fields
Generation and confinement of a magnetic field by means of permanent magnets as well as time‐independent electric currents are analyzed, and the conditions of existence of uniform field solutions are established in the general case of structures that enclose a region of arbitrary geometry. Basic properties of distributions of the electric currents are compared with the properties of yokeless structures of permanent magnets intended to generate the same uniform field within the same region.
Optimum design of yokeless permanent magnets
This paper discusses the selection of the design parameters and the optimum geometry of yokeless permanent magnets that generate a uniform field H0 within an arbitrary closed cavity. The optimum design minimizes the volume of magnetic material and it is determined by the geometry of the cavity, the magnitude of intensity H0, and a characteristic point F that controls the configuration of the magnetostatic potential as well as the flux of the magnetic induction. The optimization procedure is applied to a two‐dimensional magnet with a quadrilateral cross section.