Abstract
The effects of the non-linearity of the magnetic field, due to the fact that it must satisfy the Maxwell equations, are estimated with particular regard to a strong-focusing accelerator. They are shown to be negligible if compared with other causes of error, so that the customary linear approximation can be safely used to discuss focusing properties. The Appendix contains formulae which exhibit the symmetry properties of the magnetic field and can be used for its calculation if the pole shapes are known, or conversely.
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