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We report the use of Lorentz microscopy to observe the domain wall structureduring the magnetization process in FePd thin foils. We have focused on themagnetic structure of domain walls of bubble-shaped magnetic domains nearsaturation. Regions are found along the domain walls where the magnetizationabruptly reverses. Multiscale magnetic simulations shown that these regions arevertical Bloch lines (VBL) and the different bubble shapes observed are thenrelated to the inner structure of the VBLs. We were thus able to probe thepresence of magnetic singularities as small as Bloch points in the innermagnetization of the domain walls.

Probing punctual magnetic singularities during magnetization process in FePd films