Fig. 1: Geometry and parameters used in the modeling.

a Generic model of the magnonic ring resonator. The width of the waveguides is w = 100 nm and the thickness is h = 50 nm, the radius (from the center of the ring to the center of the waveguide) is R = 550 nm, the minimum gap between the ring and waveguide is δ = 20 nm. The dashed line shows the position of the reference plane. b Initial magnetization distribution of the investigated structure. The gray arrows and colors represent the in-plane orientations of the magnetization M.