Figure 2
The absolute value of the transmissivity |T| (a,b) and the phase ϕ gained in the transmission (c,d) for the anisotropy barrier of height \({\tilde{H}}_{{\rm{a}},{\rm{b}}}\) + 1 = 5 and width L = 5, separated from the matrix by an interface layer of width t = 0.25 (widths are given in the units of λex). Both |T| and ϕ are presented as a function of the spin wave frequency Ω and material parameters: the strength of the interface exchange coupling, \({\tilde{A}}_{{\rm{m}}{\rm{b}}}={\lambda }_{{\rm{ex}},{\rm{mb}}}^{2}{\tilde{M}}_{S,{\rm{mb}}}^{2}\) (a,c) and the magnetization contrast between the barrier and matrix, \({\tilde{M}}_{{\rm{S}},{\rm{b}}}\)/\({\tilde{M}}_{{\rm{S}},{\rm{m}}}\) (b,d). Black dashed lines in (a,b) mark the maxima (|T| = 1) of the transmissivity. The frequencies Ωm = \({\tilde{H}}_{{\rm{a}},{\rm{m}}}\) + 1 = 1 and Ωb = \({\tilde{H}}_{{\rm{a}},{\rm{b}}}\) + 1 = 5 denote the minimum frequency for the propagating exchange SWs in homogeneous materials of the matrix and barrier, respectively. The later one is marked additionally by vertical white dashed line. The calculations have been done for the same values of exchange length λex = 1 in the barrier and in the matrix. The width of the barrier and the exchange length are measured in the same a.u. of length.
