Method of Locating the Axis of a Magnetic Field for Electron-Beam Focusing

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Abstract
A quick and accurate method of locating the axis of a magnetic field of rotational symmetry is proposed. It is shown that the deviation of the field axis in direction or in position from the axis of a reference frame (the instrument axis) is found from the angular distribution of the transverse field component. This is detected by rotating a Hall probe on the instrument axis. Formulas for locating the axis of a uniform magnetic field and that of a periodic one for electron‐beam focusing are derived, and have been experimentally confirmed. The instrument for the measurement is easily constructed, and the procedures are so simple that results can be obtained in a short time. Moreover, this can be done with error of less than a few percent and with resolution of the order of 10−4 rad in direction in case of uniform fields and of 10−4 in position (ratio to the inner radius of a magnetic field device) in case of periodic fields.

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