Strapped open magnetic structure, particularly useful in nuclear magnetic resonance imaging applications, which provides a substantially uniform magnetic field within a region of interest while allowing access by a surgeon to a patient via an opening at the top of the magnetic structure. The magnetic structure comprises nested inner and outer magnetic structures separated by ferromagnetic material or pole pieces and surrounded by a ferromagnetic yoke. The structure contains one or more thin layers or straps of high magnetic permeability material aligned substantially along equipotential surface(s) of an associated closed magnetic structure of ideal properties. Structures and techniques are also provided for replacing thick, heavy blocks of ferromagnetic material with thin straps and for extending the magnetostatic potential of a component in a magnetic structure by connecting a thin strap thereto and embedding the strap in the magnetic structure along an equipotential surface of the magnetic field generated by the magnetic structure.