Fig. 1. (a) Schematic illustration of nanomagnet excited by perpendicular microwave magnetic field and bias magnetic field, the magnet in this figure is not tilted; (b) top view of nanomagnet, where θ is the defect angle and φ is the tilt angle between y-axis and the long axis of nanomagnets.

Fig. 2. Static spin orientation without external excitation of different nanomagnets (tan θ = 0, 1/6, 2/6, 3/6, 4/6, 5/6) at room temperature. With the increasing of the defect angle, the magnetization direction of the asymmetric strip nanomagnets deviate from the y-axis gradually.

Fig. 3. Normalized magnetization components m_z of nanomagnets versus the excitation time of magnetic field applied.

Fig. 4. FMR spectra and spin wave modes of different nanomagnets (tan θ = 0, 1/6, 2/6, 3/6, 4/6, 5/6). The spin wave mode in this figure is the edge mode, the red region is the position of the high precession amplitude of the magnetic moment, and the blue region is the position of the low precession amplitude of the magnetic moment.

Fig. 5. FMR spectra of nanomagnets(tan θ = 0, 2/6, 4/6, 5/6) for different tilt angle φ. The green arrow marks the highest absorption peak.

Fig. 6. Spin wave mode of rectangular and asymmetric strip nanomagnets (tanθ = 4/6) at different tilt angle. The color scale for the precession intensity of the spin modes is shown at the right side of the figure, the red region is the position of the high precession amplitude of the magnetic moment, and the blue region is the position of the low precession amplitude of the magnetic moment.

Fig. 7. Under the excitation of high frequency (15 GHz) alternating magnetic field, the relation between the effect of external magnetic field acting on the inside and the depth of the nanomagnet. H_m is the amplitude of the external alternating magnetic field acting on the inside of the material, and H₀ is the amplitude of the alternating magnetic field.