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Transport of intensity equation (TIE) has been applied to process thesimulated and experimental images of the magnetic hard nanobubbles, which wereacquired in the Lorentz transmission electron microscope (LTEM). Systematicstudies demonstrated that the processing parameter in TIE can modulate thefeatures of the retrieved magnetization and induce the bi-spiral structureswhich may be identified as the bi-skyrmions.

Magnetic hard nanobubble: a possible magnetization structure behind the bi-skyrmion