Method for producing planar gradient coils for MRI systems, gradient coils produced by the said method and MRI system provided with the said gradient coils

A method for producing planar gradient coils for MRI comprises:

• defining at least a planar surface along which at least one continuous current wire extends along a path for generating a gradient field along at least one spatial direction of optionally one of three spatial directions defined by a reference cartesian coordinate system;
• defining the path of the at least one continuous current wire as a spiral path of a single continuous wire filament;
• describing the spiral path of the at least one continuous current wire by a parametric curve according to a modified version of a Pascal Limaçons curve combined with an Archimede's spiral;
• applying the Biot-Savart law to evaluate the gradient field generated by the continuous current wire extending along the spiral path;
• and
• optimizing parameters of the parametric curve to shape the spiral path of the continuous current wire in such a way as to generate a linear magnetic gradient field along the at least one spatial direction, and which gradient magnetic field is linear inside a predetermined volume of space permeated by the linear magnetic gradient field.