Coupled-resonator-induced transparency in two microspheres as the element of angular velocity sensing

We proposed a two-coupled microsphere resonator structure as the element of angular velocity sensing under the Sagnac effect.We analyzed the theoretical model of the two coupled microspheres,and derived the coupled-resonatorinduced transparency(CRIT) transfer function,the effective phase shift,and the group delay.Experiments were also carried out to demonstrate the CRIT phenomenon in the two-coupled microsphere resonator structure.We calculated that the group index of the two-coupled sphere reaches n_g = 180.46,while the input light at a wavelength of 1550 nm.     

随机系数线性方程组正解的一种数值解法

通过建立摩擦片磨损量的数学模型,引出了随机系数线性方程组的求解问题以及对其解的统计分布上的分析,给出了一个相关定理,阐明了其分布是对称分布,且其正分量出现的概率大于零,从而为讨论此类方程组解的问题提供了统计分析的依据.同时,还利用优化思想对该随机系数线性方程组的正解加以讨论,给出在简约梯度法下正解数值近似解的算例.