%0 Journal Article
%T Generalized M2 factor of truncated beams in the cylindrical coordinate system<br>柱坐标系中截断光束的广义M2因子
%A 罗时荣
%A 吕百达
%J 物理学报
%D 2004
%I 
%X The propagation equations of second-order moments of truncated circularly symmetric beams are derived, which obey the propagation laws similar to those for the non-truncated case. Based on the method of generalized truncated second-order moments, the second-order characteristic parameters of two-dimensional truncated beams in the rectangular coordinate system are extended to the truncated circularly symmetric beams in the cylindrical coordinate system, and the generalized M2 factor (M2G factor) can be defined in a similar way and remains invariant upon propagation. The consistency of the theory is interpreted physically. The second-order moments parameters and M2G factor of truncated super-Gaussian beams in the cylindrical coordinate system are derived and some interesting special cases are discussed and illustrated with numerical examples.
%K beam characterization
%K truncated beam
%K circular symmetry
%K generalized truncated second-order moments (GTSMs)
%K generalized M2 factor (M2G factor)<br>光束描述，
%K 截断光束，
%K 圆对称性，
%K 广义截断二阶矩(GTSM)，
%K 广义M2因子（M2G因子）
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=6BEB294338BEC4F9&yid=D0E58B75BFD8E51C&vid=8E6AB9C3EBAAE921&iid=CA4FD0336C81A37A&sid=0D0D661F0B316AD5&eid=7AA74D31F1FF2DCE&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=17