Abstract: Concentric tilted double-helix magnets, which embody a simplified design and construction method for production of magnets with very pure field content, are disclosed. The disclosed embodiment of the concentric tilted double-helix dipole magnet has the field quality required for use in accelerator beam steering applications, i.e., higher-order multipoles are reduced to a negligibly small level. Magnets with higher multipole fields can be obtained by using a simple modification of the coil winding procedure. The double-helix coil design is well-suited for winding with superconducting cable or cable-in-conduit conductors and thus is useful for applications that require fields in excess of 2 T. The coil configuration has significant advantages over conventional racetrack coils for accelerators, electrical machinery, and magneto-hydrodynamic thrusting devices.