Homogenisation of magnetic fields by diamagnetic shields

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Abstract
A perfectly diamagnetic foil rolled up to form an open cylinder is shown to have only a spatially constant magnetic field in its bore, irrespective of whether the diamagnetism results from superconductivity or skin effect. This can be used to homogenise the field of a short coil or to generate a region of high homogeneity anywhere in an inhomogeneous field. If a superconducting foil is used, the method will work from DC to RF, limited only by the corresponding crucial field; if a normal conductor is used, the lower frequency limited will be at audio frequencies.