变系数耦合微分方程框架下调制自旋力矩振子的解析研究
Analytical investigation of modulated spin torque oscillators in the framework of coupled differential equations with variable coefficients
摘要：
通过解析求解自振子的含时耦合方程，研究了自旋力矩振荡器（STO）的调制。提出了一种傅里叶级数解，导致系数被确定与一组线性方程，从该非线性幅度和频率调制（NFAM）计划获得。在这个框架中，NFAM特征与固有STO参数相关，揭示了谐波相关调制指数的频率依赖性，其允许为这些器件定义调制带宽。所提出的结果暴露了丰富的参数空间，其中的调制和STO的操作条件定义所观察到的调制功能。时间信号的傅里叶级数表示适用于研究自振子方程的周期扰动。
英文摘要：
Modulation of Spin Torque Oscillators (STOs) is investigated by analytically solving the time-dependent coupled equations of an auto-oscillator. A Fourier series solution is proposed, leading to the coefficients being determined with a linear set of equations, from which a Nonlinear Amplitude and Frequency Modulation (NFAM) scheme is obtained. In this framework, the NFAM features are related to the intrinsic STO parameters, revealing a frequency-dependence of the harmonic-dependent modulation index that allows a modulation bandwidth to be defined for these devices. The presented results expose a rich parameter space, where the modulation and the STO's operation conditions define the observed modulation features. The Fourier-series representation of the time signal is suitable for studying periodic perturbations on the auto-oscillator equation.
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