We present a transfer-function approach to calculate the force on a ma
gnetic force microscope tip and the stray field due to a perpendicular
ly magnetized medium having an arbitrary magnetization pattern. Under
certain conditions, it is possible to calculate the magnetization patt
ern from the measured force data. We apply this transfer function theo
ry to quantitatively simulate magnetic force microscopy data acquired
on a CoNi/Pt multilayer and on an epitaxially grown Cu/Ni/Cu/Si(001) m
agnetic thin film. The method described here serves as an excellent ba
sis for (i) the definition of the condition for achieving maximum reso
lution in a specific experiment, (ii) the differences of force and for
ce z-derivative imaging, (iii) the artificial distinction between doma
in and domain wall contrast, and finally (iv) the influence of various
tip shapes on image content. (C) 1998 American Institute of Physics.
[S0021-8979(98)03611-1].