%0 Journal Article
%T Far-field divergent properties of linearly polarized Laguerre-Gauss beams<br>线偏振拉盖尔-高斯光束的远场发散特性
%A Zhou Guo-Quan
%A <br>周国泉
%J 物理学报
%D 2012
%I 
%X Based on the method of stationary phase and the theorem of the vectorial structure, the analytical expressions for the vectrorial terms, namely the TE and TM terms, of a linearly polarized Laguerre-Gauss beam are derived in the far-field. According to the far-field energy flux distributions of the TE and TM terms, the ratios of the powers of the TE and TM terms to the power of the Laguerre-Gauss beam are given. The analytical formulae of the far-field divergence angles of the Laguerre-Gauss beam and its TE and TM terms are presented, respectively. A relation among the far-field divergence angles of the TE term, the TM term, and the Laguerre-Gauss beam is also derived. The formulae obtained are applicable not only to the paraxial case, but also to the non-paraxial case. The dependences of the ratios of the powers of the TE and TM terms to the whole power on f-parameter and mode number are numerically examined. The effects of the f-parameter, the mode number, and the linearly polarized angle on the far-field divergence angle of the Laguerre-Gauss beam and its TE and TM terms are also analyzed. This research reveals the far-field divergent properties of the linearly polarized Laguerre-Gauss beam from the vectorial structure, and enriches the recognition of the propagation characteristics of the linearly polarized Laguerre-Gauss beam.
%K Laguerre-Gauss beam
%K far-field divergence angle
%K vectorial structure<br>拉盖尔-高斯光束
%K 远场发散角
%K 矢量结构
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=4C92C33EB4B06FC5712D746740C080CE&yid=99E9153A83D4CB11&vid=1D0FA33DA02ABACD&iid=0B39A22176CE99FB&sid=A7C1526B5FCB638D&eid=A7C1526B5FCB638D&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=30