Patent ID: 6947877

Claim:
A computer-implemented method for designing an electromagnetic coil arrangement that generates a uniform magnetic field in a desired region, said electromagnetic coil arrangement having a number of coils and a shape defined by r and z, where r is the radial coordinate of a cylindrical coordinate system having (r, z, φ) coordinates, and z is the axial coordinate of the cylindrical coordinate system; comprising the steps: (a) computing a solution to Eq. (25) as defined in the accompanying specification for a set of parameters lambda_j under the conditions recited in Eqs. (5), (6), and (8) of the accompanying specification, (b) using a computer, numerically evaluating Eq. (14) as defined in the accompanying specification using the set of parameters lambda_j computed in step (a) to obtain an ideal current density J(r, z) for the electromagnetic coil arrangement to generate a desired magnetic field intensity, (c) plotting J as a function of r and z as computed in step (b) to obtain the number of coils and the shape of the electromagnetic coil arrangement to determine its geometry.