强激光在磁化等离子体中的调制不稳定性

采用洛伦兹变换推导出左旋椭圆偏振强激光在磁化等离子体中的非线性色散关系，根据Karpman方法推导出激光场包络的非线性控制方程，分析了在磁化等离子体中左旋椭圆偏振激光的调制不稳定性，得到了调制不稳定的时间增长率。分析结果表明，磁化等离子体中自调制不稳定的极大增长率较非磁化情况明显减小，且在激光等离子体临界面附近处调制不稳定性的时间增长率显著增大。

Modulational instability of intense laser beam in magnetized plasma

The nonlinear dispersion relation is derived for an intense left-hand elliptically polarized laser beam propagating through magnetized plasma by means of the Lorentz transformation. In terms of the Karpman method, the nonlinear governing equation for the envelope of the laser field is obtained. The modulational instability of the intense left-hand elliptically polarized laser beam in magnetized plasma is analyzed and the temporal growth rate of modulational instability is found. The analysis shows that the maximum growth rate of self-modulation instability is obviously smaller for magnetized plasma compared to the unmagnetized case. It is also shown that the temporal growth rate of modulational instability is increased significantly near the critical surface in a laser-plasma.