The dispersion relations of the long-wavelength retarded magnetic modes of a ferromagnetic slab magnetized in its plane are derived for a general direction of propagation. A comparison with the magnetostatic Damon–Eshbach modes is presented, and the parameters affecting the deviations of the magnetostatic modes from the exact ones are discussed. The theory is applied to a calculation of the ferromagnetic resonance lines of a yttrium iron garnet film, and the dependence of the propagation shift of the lines on the dimensions of the sample is demonstrated.
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R. Ruppin (1987) studied this question.
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