Exchange coupling between magnetic films in multilayer geometries can
strongly influence magnetization behavior and spin-wave energies by co
rrelating the motion of spins in one film with the motion of spins in
adjacent films. In a similar fashion correlations can be expected betw
een domain walls existing in neighboring exchange coupled films. In th
is paper we show that the motion of domain walls in neighboring films
can depend strongly on interfilm exchange coupling. A static equilibri
um configuration exists for the domain walls, and small amplitude osci
llations about equilibrium can result in domain-wall resonances that i
nvolve interfilm exchange energies. Frequencies for optic- and acousti
c-type domain-wall resonances are calculated and effects of a small st
atic applied magnetic field are examined, revealing distinctly differe
nt behaviors for the acoustic and optic domain-wall resonances. The po
ssibility for sensitive measurements of the local coupling by studying
domain-wall resonance is discussed. Resonances with parallel and anti
parallel coupling are considered and the response to a small in-plane
driving field is calculated.