“…Equipped with the full, analytical solution of the coupled magnetoelastic dynamics (5) and (6), we proceed to calculate various observables characterizing the spin transport through the heterostructure. Throughout the remainder of this Letter, we use parameters of YIG for the magnets and GGG for the nonmagnet [10,12,15], i.e., s = 7.5/nm 3 , ρ = 5170 kg/m 3 , c ⊥ = 3843 m/s, B ⊥ = 6.96 × 10 5 J/m 3 , and α G = 9 × 10 −5 , as well asρ = 7080 kg/m 3 andc ⊥ = 3530 m/s. The metallic leads are taken to be platinum, so that g ↑↓ = 5 nm −2 [16].…”