Figure 2
From: Goos–Hänchen shift of inelastically scattered spin-wave beams and cascade nonlinear magnon processes

Dependencies showing the SW beams group velocity angles \(\Theta _i\). (a,b) Angles of the group velocity of SW beams (angles of propagation) as a function of edge mode frequency \(\nu\), blue triangles represent the reflected beam, green circles display SW beam created in SSP, and purple squares represent the SW beam created in CP. The results were obtained for the angle of incidence \(\theta =30^{\circ }\) and for both, the edge modes with (a) \(\kappa > 0\) and (b) \(\kappa < 0\). (c) Isofrequency construction in the case of \(\kappa < 0\). Here, for \(-|\kappa ^\prime |\) there is no geometric solution in the SSP, which would correspond to SWs scattered on the higher frequency edge mode. Thus, for \(\kappa < 0\) there is a critical value of \(\kappa\) (and \(\nu\)) above which SSP is not allowed, as shown in (b).