Arbitrary shapes of magnetic fieldsArbitrary shapes of magnetic fields are not possible, but divergenceless magnetic fields are physical. Various shapes of magnetic fields can be created by passing various, time dependent currents through a group of adjacent solenoids, but the use of solenoids imposes a significant limitation on spatial resolution of the created magnetic field.
Is there a way to generate time variable magnetic fields with high spatial resolution? Can it be done without solenoids? Without moving parts?
