增益介质中的光场本征模-自由电子激光的三维解与光导

THE RADIATION FIELD EIGENMODES IN GAIN MEDIA—THE 3-D SOLUTIONS OF FREE ELECTRON LASERS AND OPTICAL GUIDING

摘要: 给出了等效折射率横向分布为二次型函数情况下的三维光场方程的本征模。它是非厄密算符的双正交基。利用这套双正交基可以实现微扰展开来处理自由电子激光的三维问题。以光导现象为例,得到了由于电子束中心偏离而引起光束重心的离轴行为的方程。

Abstract: A set of eigenmodes of radiation field is obtained in the media with quadratic equivalent index of refraction. Taking the set of eigenmodes as expansion basis, the fully 3-D problems relative to free electron lasers can be solved in the frame of perturbation approach. The optical guiding of FELs by the off-axis displacement of the eletron beam is treated as an example of 3D-FEL problems.