Relation between Debye series and generalized Lorentz-Mie theory of laser beam scattering by multilayer cylinder  

作　　者：李海英 吴振森 李正军 

机构地区：[1]School of Science, Xidian University

出　　处：《Chinese Physics B》2010年第10期273-280,共8页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 60771038 and 60971065);the Fundamental Research Funds for the Central Universities, China

摘　　要：With the recursive relations of Bessel function and applying inductive approach, the consistency between the scattering coefficient formula of Debye series and that of the generalized Lorentz-Mie theory （GLMT） in the scattering of a multilayer cylinder illuminated by a laser beam is proved in detail. As an application example, rainbow phenomenon in the scattering of a two-layer cylinder is discussed by the Debye series components. It can be concluded that the radius and the refractive index of a two-layer cylinder have an effect on the twin-primary rainbow, and the high-order Debye series components which are associated with the high-order rainbows are more complex than those of a homogeneous cylinder.With the recursive relations of Bessel function and applying inductive approach, the consistency between the scattering coefficient formula of Debye series and that of the generalized Lorentz-Mie theory （GLMT） in the scattering of a multilayer cylinder illuminated by a laser beam is proved in detail. As an application example, rainbow phenomenon in the scattering of a two-layer cylinder is discussed by the Debye series components. It can be concluded that the radius and the refractive index of a two-layer cylinder have an effect on the twin-primary rainbow, and the high-order Debye series components which are associated with the high-order rainbows are more complex than those of a homogeneous cylinder.

关 键 词：laser beam scattering a multilayer cylinder rainbow phenomena 

分 类 号：O436.2[机械工程—光学工程] TN24[理学—光学]