Penetration of an External Field Change with Arbitrary Angle into a Saturated Superconducting Filament

In many applications of superconductivity the magnetization of a saturated cylindrical superconducting filament is perturbed by an external field change. Especially in superconducting accelerator magnets local field changes have an impact on the magnetization in the coil. We analyze the behavior of the current distribution and magnetization of a single filament for field changes with different amplitudes and at arbitrary angles with respect to the original background field. Formulas are developed and the behavior of the magnetization is demonstrated.