Relation of the average interaction field with the coercive and interaction field distributions in First order reversal curve diagrams of nanowire arrays

First-order reversal curve diagrams, or FORC diagrams, have been studied to determine if the widths of their distributions along the interaction and coercivity axes can be related to the mean-feld magnetization dependent interaction feld (MDIF). Arrays of nanowires with diameters ranging from 18 up to 100 nm and packing fractions varying from 0.4 to 12% have been analyzed. The meanfeld MDIF has been measured using the remanence curves and used as a measuring scale on the FORC diagrams. Based on these measurements, the full width of the interaction feld distribution and the full width at half maximum (FWHM) of the FORC distribution profle along the interaction feld direction are shown to be proportional to the MDIF, and the relation between them is found. Moreover, by interpreting the full width of the coercive feld distribution in terms of the dipolar induced shearing, a simple relation is found between the width of this distribution and the MDIF. Furthermore, we show that the width of the FORC distribution along the coercive feld axis is equal to the width of the switching feld distribution obtained by the derivation of the DC remanence curve. This was further verifed with the switching feld distribution determined using in-feld magnetic force microscopy (MFM) for very low density nanowires. The results are further supported by the good agreement found between the experiments and the values calculated using the mean-feld model, which provides analytical expressions for both FORC distributions