非相对论短波长激光的1/3分频共振及其摄动解  

1/3-resonance and Perturbation Solution for Non-relativistic Short Wavelength Laser

作　　者：罗晓华[1,2] 何为[2] 

机构地区：[1]重庆交通大学图书馆,重庆400074 [2]重庆大学电气工程学院,重庆400044

出　　处：《东莞理工学院学报》2011年第3期62-65,共4页Journal of Dongguan University of Technology

摘　　要：在牛顿力学框架内和小振幅近似下,把非相对论粒子在时空周期场中的运动方程化为含有阻尼项和受迫项的Duffing方程。利用多尺度法分析了系统的1/3分频共振;利用Poincare方法讨论了系统的稳定性;找到了系统的临界条件;揭示了共振曲线的后弯现象;讨论了系统的跳跃现象。结果表明,系统的临界条件与它的物理参数有关,只需适当调节这些参数,就可以原则上保证系统的稳定性。In the framework of Newtonian mechanics and small-amplitude approximation,the motion equation of the non-relativistic particles in a periodic potential in space and time reduced to Duffing-equation with damping and forced terms,analyzed the 1/3 frequency resonance in the system using Multi-scale method;discussed stability of the system by Poincare method;found the critical condition of the system;revealed the after back bending phenomenon of resonance curve;discussed the jump phenomenon in the system.The results showed that the critical condition of the system is relate to physical parameters,only the appropriate regulation of these parameters can in principle guarantee system stability.

关 键 词：非相对论 高次谐波辐射 跳跃现象 多尺度法 

分 类 号：TN241[电子电信—物理电子学] O434.1[机械工程—光学工程]