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Uniform magnetic field generation is one of the key issues in many physicalapplications; such as magnetic resonance imaging, magnetic probs etc. There aremany ways to obtain highly homogeneous fields. For instance, ellipsoidal bodies- and in special, spheroids - naturally maintain uniform magnetic field insidetheir bodies, without any need for shimming. Thanks to their rotationalsymmetry in addition, spheroids are easier to produce and handle, and thereforedeserve more emphasis. However, creating a uniform magnetic field inside aspheroid is only possible via maintaining certain current profiles on itssurface. In this paper we have derived exact surface coil winding profiles forboth prolate and oblate spheroids by reorganizing state of the art derivationsin the literature and correcting them whenever necessary.

Surface Coil Winding Profile for Obtaining a Uniform Magnetic Field inside a Spheroidal Body