Based on the one-dimension Heisenberg model

the eigenproblems of spin waves were overcome through solving energy constrained equation and interface rescaling equation by using interface-rescaling approach in ferromagnetic and antiferromagnetic bilayer.The low temperature excitation of spin waves was discussed on layer system of antiferromagnetic coupling.It concluded that three modes of spin waves might exist

the bulk mode

the interface mode

and the perfect confined mode.The propagation behaviors and the dispersion relations of the three modes are different.The wave of bulk mode propagates freely in the system with different amplitude in each sublayer

and the wave forms are pinning in interface.With the increasing of the energy

the perfect confined phenomenon becomes obvious in antiferromagnetic sublayer.The interface modes

which have the lowest energy

can not propagate in system.