  The theory of localized spin-wave excitations in random-anisotropy magnets
has been developed. Starting with a pure Heisenberg ferromagnet, we study the
evolution of standing spin waves in a finite-size sample towards localized
modes on increasing the strength of random anisotropy. Profiles of the
localized modes and their phases are analyzed and visualized in a 2D sample.
Localization length is obtained by several methods and its dependence on random
anisotropy is computed. The connection between the localization of spin
excitations and the broadband nature of the absorption of microwave power by
random-anisotropy magnets is elucidated.
