The off-resonance damping parameter due to the three-magnon splitting
process is calculated by extending the theory of intrinsic magnetic re
laxation processes. The imaginary part of the diagonal component of th
e microwave permeability tensor is found to decrease with increasing i
nternal magnetic field and to be proportional to the absolute temperat
ure. In magnitude it is somewhat smaller than the subthreshold absorpt
ion under parallel pumping, which has a similar physical origin and ha
s previously been calculated and verified by experiments. Since the ca
lculated magnetic damping occurs in all magnetic materials, it is expe
cted to contribute significantly to the insertion loss of many ferrite
microwave devices.