An analytical theory has been produced for describing the vector nature of
the digital magnetic recording process in thin-film isotropic media. It is
based upon assumptions on the way in which the magnetization follows the fi
eld during the recording process and shows, except for a scaling of their p
eak values, that the longitudinal and perpendicular components of magnetiza
tion behave, respectively, as if they were separately present in a longitud
inal and perpendicular recording. The magnitudes of the longitudinal and pe
rpendicular magnetization components are derived in particular cases.