%0 Journal Article
%T Boundary Condition and Initial Condition in the Time-domain Beam Propagation Methods Applied to Study Planar Waveguides<br>平面光波导器件时域有限差分束传输法分析中边界和初始条件的处理
%A (
%A <br>申屠伟进
%A 蔡纯
%A 戴劲草
%A 张明德
%A 孙小菡
%J 光子学报
%D 2005
%I 
%X Based on time-domain beam propagation methods (TD-BPM) with the slowly varying envelope approximation (SVEA), both schemes of generalized Douglas(GD)and conventional central-difference(CN)have been respectively used to disperse lightwave transmission equation, and have been compared each other. The results showed that the former is more accurate. The explicit and implicit expressions of absorbing and transparent boundary condition have been derived for the GD scheme in TD-BPM, respectively. The boundary condition based on the alternating-direction implicit method(ADIM)was also established. Meanwhile, incident wave and connecting condition have been discussed in details. As a result, the boundary condition of implicit GD-TD-BPM must apply implicit expression, and settling incident wave in computational region may effectively detail the reflected field.
%K Planar waveguides
%K Time-domain finite difference
%K Beam propagation methods
%K Generalized Douglas scheme
%K Boundary condition
%K Connecting boundary condition<br>平面波导器件
%K 时域有限差分法
%K 束传输法
%K 综合道格拉斯
%K 边界条件
%K 连接条件
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=9F6139E34DAA109F9C104697BF49FC39&aid=A7B50E63CA6A7D60&yid=2DD7160C83D0ACED&vid=339D79302DF62549&iid=E158A972A605785F&sid=FD207D3C5E9776FA&eid=1918ADDC93A85779&journal_id=1004-4213&journal_name=光子学报&referenced_num=4&reference_num=19