In this work, simulation-based equations to calculate propagation constant in uniform or periodic structures (SES) are deduced and verified through simulations in various types of structures. The modeling of those structures are essentially based on field distributions from a driven-mode solver, and the field distributions are used as the input parameters of the FPPS. It allows the separation of forward and backward waves from a total wave inside such a uniform or periodic structure, and thus it can be used to calculate the propagation constants inside both uniform and periodic structures even with a strong reflection. In order to test the performance and function of the FPPS, it has been applied to a variety of typical structures, including uniform waveguides, lossfree closed structures, lossy closed structures, and open radiation structures, and compared with the results of eigenmode solvers, equivalent network methods, and spectral domain integral equation methods. The comparison shows the easy-to-use and adaptable nature of the FPPS. the FPPS. This FPPS could be also applied to open radiating structures, and even multi-dimensional periodic/uniform structures.

翻译：本文推导了用于计算均匀或周期结构（SES）中传播常数的仿真方程，并通过多种结构类型的仿真进行了验证。这些结构的建模主要基于驱动模式求解器获得的场分布，并将场分布作为FPPS的输入参数。该方法能够将均匀或周期结构内部的总波分离为前向波和后向波，从而可用于计算即使在强反射条件下均匀和周期结构内部的传播常数。为测试FPPS的性能与功能，将其应用于多种典型结构，包括均匀波导、无损耗封闭结构、有损耗封闭结构和开放辐射结构，并与本征模求解器、等效网络法和谱域积分方程法的结果进行了比较。比较结果显示FPPS具有易于使用且适应性强特点。该FPPS还可应用于开放辐射结构，甚至多维周期/均匀结构。