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The fluxguide is a uniformly magnetized magnetic shell surrounding the air gap between the pole pieces of a magnetic circuit. The uniform magnetization is obtained by varying the thickness of the shell to provide compensation for flux leakage from the outer surface of the shell. Under this condition we have ideally a uniform magnet field within the shell. Experimentally, addition of a fluxguide to a traveling-wave tube magnet improved the uniformity of the magnetic field by a factor of over 300.