Design of gradient coils for magnetic resonance imaging

A numerical technique for designing gradient coils used in magnetic resonance imaging is presented. It is assumed that the coil consists of a finite number of polygonal turns, each carrying identical current. Coordinates of the vertices defining the turns are determined to minimize the mean-square deviation of the actual magnetic flux density from the ideal linear distribution. The zeroth-order Powell technique is used as a numerical tool. Results of calculations for some practical designs prove the effectiveness of the proposed approach