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基于随机激光的时域理论,建立了横磁与横电光波模式共享反转粒子数情况下的理论模型,并利用时域有限差分法(FDTD)数值求解麦克斯韦方程组和速率方程组,从而获得了二维随机介质内横磁与横电光波模式的阈值特性。结果表明,如果横磁与横电偏振模式之间没有共享反转粒子数,则横磁光波模式拥有较低的激发阈值;反之,则横电光波模式的激发阈值更低。在共享反转粒子数的情况下,改变样品的表面填充率对两种偏振模式的阈值并没有很大的影响,而增加样品面积则可以明显的降低横磁模式的阈值。
Based on the time-domain theory of stochastic laser, a theoretical model of sharing reversal particle numbers in transverse magnetic and transverse electric wave modes was established, and Maxwell’s equations and velocity equations were solved numerically by FDTD to obtain The threshold characteristics of transverse magnetic and transverse electric wave modes in two-dimensional random medium. The results show that the transverse magneto-optical wave mode has a lower excitation threshold if there is no shared inversion particle number between the transverse magnetic and transverse electrical polarization modes; on the contrary, the excitation threshold of the transverse electrical wave mode is lower. In the case of sharing inversion particles, changing the surface loading rate of the sample has no significant effect on the thresholds of the two polarization modes, while increasing the sample area can significantly reduce the threshold of the transverse magnetic mode.