Abstract
To determine the magnetization profiles for magnetic multilayer systems by x-ray magnetic reflectometry, it is generally assumed that the local magnetic contributions $\ensuremath{\Delta}\ensuremath{\delta}(\ensuremath{\omega})$ and $\ensuremath{\Delta}\ensuremath{\beta}(\ensuremath{\omega})$ to the optical constants are proportional to the local atomic magnetic moment. In the present paper, the validity of this basic assumption is explored by general theoretical arguments as well as by ab initio calculations for a Co-Pt multilayer system. It turns out that the assumption may be at least approximately valid under two circumstances: (i) the width of the x-ray line should not be much smaller than the width of the dichroic spectra, and (ii) the spin-orbit coupling should not be too strong.
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