Gradient coils for MRI systems having multiple current density zones

A process of providing a gradient field includes providing a pair of opposing magnets and associated magnet poles, which are divided into zones. For each zone, a target current density is determined, and is modeled after a mathematical series, at least two of which are different. Gradient coils are formed from wires disposed on the magnet poles along paths corresponding to the mathematical series. A current source is connected to the gradient coils to provide the gradient field. A magnetic resonance imaging system includes a pair of opposing magnets and magnet poles, and a pair of gradient coils. The gradient coils are formed from wires disposed along paths on each magnet pole, which are divided into zones defined by a shape of the wire path in that zone. The shape in each zone corresponds to a mathematical series, which are different in at least two of the zones.