Based on Smith-Beljers theory and classical laminate theory, an explicit model is proposed for the ferromagnetic resonance (FMR) frequency shift of a stress-mediumed laminated magnetoelectric structure tuned by an e...Based on Smith-Beljers theory and classical laminate theory, an explicit model is proposed for the ferromagnetic resonance (FMR) frequency shift of a stress-mediumed laminated magnetoelectric structure tuned by an electric field. This model can effectively predict the experimental phenomenon that the FMR frequency increases under a parallel magnetic field and decreases under a perpendicular magnetic field when the electric field ranges from - 10 kV/m to 10 kV/m. Besides, this theory further shows that the FMR frequency increases monotonically as the angle between the direction of the external magnetic field and the outside normal direction of the laminated structure increases, and the frequency will increase as great as 7 GHz. In addition, when the angle reaches a certain critical value, the external electric field fails to tune the FMR frequency. When the angle is above the critical value, the increase of the electric field induces the FMR frequency to increase, and the opposite scenario happens when it is below the critical value. When the angle is 90~ (parallel magnetic field), the FMR frequency is the most sensitive to the change of the electric field.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant Nos.10802082 and 11172285)the Natural Science Foundation of Zhejiang Province of China(Grant No.LR13A020002)the China Postdoctoral Science Foundation(Grant Nos.20100480089 and 201104727)
文摘Based on Smith-Beljers theory and classical laminate theory, an explicit model is proposed for the ferromagnetic resonance (FMR) frequency shift of a stress-mediumed laminated magnetoelectric structure tuned by an electric field. This model can effectively predict the experimental phenomenon that the FMR frequency increases under a parallel magnetic field and decreases under a perpendicular magnetic field when the electric field ranges from - 10 kV/m to 10 kV/m. Besides, this theory further shows that the FMR frequency increases monotonically as the angle between the direction of the external magnetic field and the outside normal direction of the laminated structure increases, and the frequency will increase as great as 7 GHz. In addition, when the angle reaches a certain critical value, the external electric field fails to tune the FMR frequency. When the angle is above the critical value, the increase of the electric field induces the FMR frequency to increase, and the opposite scenario happens when it is below the critical value. When the angle is 90~ (parallel magnetic field), the FMR frequency is the most sensitive to the change of the electric field.