NONLINEAR THEORY OF SURFACE ACOUSTIC WAVE PARAMETRIC OSCILLATION
NONLINEAR THEORY OF SURFACE ACOUSTIC WAVE PARAMETRIC OSCILLATION
复制标题
表面声波参量振荡的非线性理论
DOI：
10.1143/jpsj.59.3989
复制
发表时间：
1990
影响因子：
1.7
通讯作者：
H. Konno
中科院分区：
文献类型：
--
作者：
H. Konno
利用压电固体的非线性波动方程，推导出表面声波（SAW）的参数振荡方程：u t t + K u t +(A + B sin 2ω t) u + C u 3 =0。非线性模型显示了SAW参数振荡的各种实验特征：(i) 1/2次谐波模式的激励，（ii）振幅和线性增长率的频率依赖性，以及（iii）振幅的饱和，这些在linbo3中已经观察到。阐明了单模模型产生混沌的必要条件和耗散对混沌发生的影响。
Surface acoustic wave (SAW) parametric oscillation is studied with the use of the nonlinear Mathieu equation: u t t + K u t +( A + B sin 2ω t ) u + C u 3 =0, which can be derived from the nonlinear wave equation in a piezoelectric solid. The nonlinear model exhibits the various experimental features of SAW parametric oscillation: (i) the excitation of the 1/2 subharmonic mode, (ii) the frequency dependence of the amplitude and the linear growth rate and (iii) the saturation of the amplitude, which have been observed in LiNbO 3 . Necessary condition for chaos and effect of dissipation upon the onset of chaos for the single mode model is also clarified.