%0 Journal Article
%T Study on the rapid numerical difference recurrence algorithm for the simulation of optical pulse propagation and its applications<br>光脉冲传输模拟的快速数值差分递推算法及其应用研究
%A Zhang Guan-Mao
%A Zhang Xiao-Ping
%A <br>张冠茂
%A 张晓萍
%J 物理学报
%D 2007
%I 
%X Maclaurin expansion near zero domain is applied to analysis the difference form of the normalized nonlinear Schrfidinger equation in frequency domain, and a rapid numerical difference recurrence formula is deduced in time domain, which considers the nonlinear Kerr effect as well as the effect of chromatic dispersion in optical medium simultaneously. Through some examples, a comparison is made between the results using the algorithm of this paper and the known analytical results, including the results of SSFM method. The calculated results show that this method has not only fairly fast calculation speed, but also very high calculation precision, and is more suitable to the actual situation of light pulse propagation affected by the dispersion and nonlinearity at the same time through optical medium. All the above results show that it is a well founded, fast and effective numerical calculation method to study light pulse propagation in optical medium.
%K rapid numerical difference recurrence formula
%K Maelaurin expansion near zero domain
%K nonlinear Schrtidinger equation
%K optical pulse propagation<br>快速数值差分递推公式
%K 零邻域马克劳林展开
%K 非线性薛定谔方程
%K 光脉冲传输
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=F4435574997FEB49&yid=A732AF04DDA03BB3&vid=014B591DF029732F&iid=94C357A881DFC066&sid=AE6B903C3EEB6EB8&eid=40E8FEA07A3DBDC3&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=16