MPSTD算法子域分界面上改进的特征变量匹配条件

多区域时域伪谱(MPSTD)算法用于复杂问题分析时,整个计算域的相邻子域间将存在多种类型的分界面,子域间信息的交换通过这些分界面上的匹配条件来实现.由于特征变量(CV)匹配条件的局限性,它只适用于一些特定类型的分界面.为此,本文针对任意类型分界面,推导了改进的特征变量(ICV)匹配条件,并给出了ICV匹配条件在分界面上的场值更新关系.在此基础上,将MPSTD算法与ICV匹配条件相结合分析了两根正交矩形波导构成的波导宽壁中心斜缝耦合器,数值结果与FDTD结果的一致性充分说明了ICV匹配条件的准确性和有效性.同时,对矩形波导宽壁中心斜缝耦合器的分析也拓展了MPSTD算法的应用领域.

An Improved Characteristic Variables Matching Condition for Interfaces in Multidomain Pseudospectral Time-Domain

When the multidomain pseudospectral time-domain(MPSTD) algorithm is used to analyze a complex problem,many types of interfaces will exist in adjacent subdomains of the whole computational domain,exchanging information between subdomains is realized by matching conditions for these interfaces.Because the characteristic variables(CV) matching condition is limited to only apply to some special types of interfaces,an improved characteristic variable(ICV) matching condition is presented for any type of interface,and interface field update relations are obtained for the ICV matching condition.Based on it,a broad wall centered-inclined slot coupler comprised two crossed rectangular waveguides is analyzed by using the MPSTD with the ICV matching condition,agreement of the MPSTD and FDTD numerical results illustrate the accuracy and validity of ICV matching condition.The analysis of a broad wall centered-inclined slot coupler of rectangular waveguide extends also application fields of the MPSTD.