Spin supercurrent injection by magnetization precession

In this work we theoretically investigate the spin dynamics of superconducting condensate proximity coupled with the single FMR mode uniform periodical precessing magnetization. The theoretical model of the inverse proximity effect is built within quasicalssical formalism using time-dependent Usadel equations. Frequency representation of Usadel equations allows to turn non-stationary periodic problem to the stationary one. We numerically solve the derived frequency-dependent Usadel equations and calculate non-stationary distributions of the spin supercurrent and induced magnetization inside the superconductor/ferromagnetic insulator hybrid structure.