超晶格中带电粒子的相干电磁辐射  

Coherent Electric-magnetic Radiation of Charged Particles in Superlattice

作　　者：董西英[1] 邵明珠[2] 

机构地区：[1]南京信息职业技术学院,南京210046 [2]东莞理工大学电子工程学院,广东东莞523106

出　　处：《半导体光电》2010年第6期899-901,共3页Semiconductor Optoelectronics

摘　　要：指出了对周期介质加上周期变化的电场,可望获得时空周期变化的周期场;在这种场中运动的带电粒子表现出了人们预期的行为。对这种情况下的电磁辐射进行了讨论,并以掺杂超晶格为例进行具体分析。首先,在经典力学框架内和偶极近似下,把粒子的纵向运动方程化为广义摆方程;在小振幅近似下,把无扰动系统的摆方程进一步化为Duffing方程。用Jacobian椭圆函数和第一类椭圆积分严格地给出了粒子运动轨道和它的运动周期;讨论了粒子的辐射能量和辐射强度。结果表明,当超晶格的势阱深度为1eV,为λp=100nm,γ=104时,电子的辐射频率为8.85×1019,位于X-能区。It is pointed to appling the electric field on the periodic medium may obtain the periodic field with the time-space periodic change.The charged particles in the field showen hope behaviours.The electric-magnetic radiation is discussed in this case,and as example,doping superlattice is analysed.In the classical mechanics frame and the dipole approximation,the particle motion equation in the time-space periodic field is reduced to the pendulun equation;in a small amplitude approximation,the pendulun equation is reduced further to the Duffing equation.The solution of the equation and the period of a particles motion for the non-perturbed system are analysed by the Jacobian elliptic function and the first kind of elliptic integral.The radiation energy and radiation intensity are discussed.The results show that the radiation frequency if,and,the radiation energy of an electron entered in the energy reigion.

关 键 词：掺杂超品格 时空周期场 超相对论 Jacobian椭圆函数 短波长激光 

分 类 号：O437[机械工程—光学工程]