  The permeability is calculated for a thin ferromagnetic film with the stripe
domain structure and out-of-plane uniaxial magnetic anisotropy. Analytical
expressions for the frequency dependence of components of permeability tensor
are derived with the use of the Smit-Beljers method, with the thickness of
domain walls and the domain wall motion being neglected. The effect of the
domain width and the angle between the anisotropy axis and the film plane on
the frequency dependence of the permeability is analyzed. General equations
relating the static permeability components and the ferromagnetic resonance
frequencies are found. The results of the approach are applied to the
derivation of the constraint for the microwave permeability of thin
ferromagnetic films. The analysis of the constraint as a function of the axis
deviation angle, the domain aspect ratio and the damping parameter allows the
conditions to be found for maximal microwave permeability. The results obtained
may be useful in connection with the problem of developing high-permeable
microwave magnetic materials.
