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In recent years, interest in expanding from 2D to 3D systems has grown in themagnetism community, from exploring new geometries to broadening the knowledgeon the magnetic textures present in thick samples, and with this arise the needfor new characterization techniques, in particular tomographic imaging. Here,we present a new tomographic technique based on Fourier transform holography, alensless imaging technique that uses a known reference in the sample toretrieve the object of interest from its diffraction pattern in one single stepof calculation, overcoming the phase problem inherent to reciprocal-space-basedtechniques. Moreover, by exploiting the phase contrast instead of theabsorption contrast, thicker samples can be investigated. We obtain a 3Dfull-vectorial image of a 800 nm-thick extended Fe/Gd multilayer in a5$\mu$m-diameter circular field of view with a resolution of approximately 80nm. The 3D image reveals worm-like domains with magnetization pointing mostlyout of plane near the surface of the sample but that falls in-plane near thesubstrate. Since the FTH setup is fairly simple, it allows modifying the sampleenvironment. Therefore, this technique could enable in particular a 3D view ofthe magnetic configuration's response to an external magnetic field.

Three-dimensional tomographic imaging of the magnetization vector field using Fourier transform holography