Spin waves in a ferromagnetic monolayer are investigated taking into accoun
t indirect exchange [Ruderman-Kittel-Kasuya-Yosida (RKKY)] interaction medi
ated by electrons of a nonmagnetic metal substrate. Strong anomalies are fo
und in the spin wave stiffness when spin lattice-line distances are close t
o the RKKY wavelength. Conditions for such coincidence and its relevance in
epitaxial magnetic layers on fee metals are discussed taking into account
realistic Fermi surface shapes, which further enhance the magnitude of the
predicted effect but may change its sign. [S0163-1829(99)03402-5].