## 3 Results and Discussion  
Although the data have been obtained in the \(Q\)-range up to \(10^{-3}\) A\({}^{-1}\), the following Figures show the data for the \(Q\) values up of \(1.85\times 10^{-4}\) A\({}^{-1}\). Even if we also suspect some magnetic-field-induced change in scattering intensity by structures smaller than \begin{table}
\begin{tabular}{c c c} \hline
**Sample** & **Mass Fraction of Fe, \%** & **Volume Fraction of Fe, \%** \\ \hline Matrix & 0 & 0 \\ MAE10 & 10 & 1.3 \\ MAE30 & 30 & 4.9 \\ MAE80 & 80 & 32.4 \\ \hline \end{tabular}
\end{table} 
Table 1: Samples. Figure 1: USANS setup (not to scale): so-called Bonse-Hart camera configuration with channel-cut silicon perfect crystals (monochromator M and analyzer A, lattice planes are parallel to the crystal slab faces), sample S in a region with an applied vertical, static magnetic field \(B_{\rm z}\), and detectors D\({}_{1}\) and D\({}_{2}\)[29]. 3.4 \(\upmu\)m (\(Q>\) 1.85 \(\times\) 10\({}^{-4}\) A\({}^{-1}\)), we did not observe systematic and conclusive changes for larger \(Q\) values. Figure 2 presents the USANS curves in zero, intermediate (200 mT) and maximum (350 mT) magnetic field. There and in the following Figures the scattering curves are always normalized to the maximum of the presented curves (i.e., for a specific MAE sample). By such a normalization, the effect of magnetic field on neutron scattering in each particular MAE sample is demonstrated. We are currently not able to interpret the cross-correlation between scattering intensities of different samples, although such an information is available in the data set (cf. the data link at the end of this paper). The difference of the scattering curves is clearly seen and this difference grows with the increasing magnetic field. The total scattering intensity in the observed range of scattering vector is reduced with increasing magnetic flux density. Figure 3 shows the USANS curves for the sample with 30 mass% of Fe at different magnetic fields. Again, the effect of magnetic field is clearly observed. The scattering intensity becomes lower with the increasing magnetic field for 2.5 \(\times\) 10\({}^{-5}\) A\({}^{-1}\) < \(Q<\) 1 \(\times\) 10\({}^{-4}\) A\({}^{-1}\). As a control experiment, we measured the magnetic field dependence of the scattering curve of available MAE samples with the stiff matrix. Figure 4 shows as an example the results for the MAE sample with 67 mass% of iron. A rather constant minor offset of the curve in the largest magnetic field appears to be within the measurement accuracy, so that no significant effect of magnetic field on the  
Figure 3: USANS curves of the MAE samples with 30 mass% of Fe for different magnetic fields. Figure 2: USANS curves of the MAE samples with 10 mass% of Fe for three different values of the magnetic flux density \(B_{x}\). neutron scattering in the \(Q\)-range of interest is observed. In the current configuration both the nuclear and magnetic scattering cross sections are probed as \(Q\) is perpendicular to the magnetization direction. However, if magnetic scattering was present in this case, we were not able to reliably separate its contribution applying rather low magnetic field and using the experimental configuration shown in Figure 1.  
Such an observation could be attributed to the limited mobility of filler micro-particles within the stiff matrix (as compared to the other MAE samples). The restructuring of filler particles is hindered in this case and the scattering behaviour is much less changed in comparison to other samples. It is well known that physical properties of compliant MAE demonstrate hysteresis behaviour with respect to an applied magnetic field. The hysteresis occurs not only when the matrix is filled with hard-magnetic particles (where a kind of hysteresis has to be expected) but also for soft-magnetic inclusions with the vanishing magnetization reversal loop, which is the case in the present paper. [PERSON] et al.