Perpendicular ferromagnetic-resonance equations derived by effective demagnetizing factors

Effective demagnetizing factors (N-x(e), N-y(e)) of single-crystal films having cubic or uniaxial anisotropy are derived by new N-x(e) and N-y(e) equations for the use of Kittel's ferromagnetic resonance formula. N-x(e) and N-y(e) are obtained by one kind of first derivative (partial derivativeG/partial derivativetheta). Both first-order and second-order magnetocrystalline anisotropy constants are treated. Six arrangements of films with the static field along the film normal are calculated: (1) perpendicular uniaxial anisotropy, (2) in-plane uniaxial anisotropy, (3) cubic-crystal (001) face, (4) cubic-crystal (011) face, (5) cubic-crystal (111) face, and (6) oblique anisotropy.