CIP Basis Set Method for Electromagnetic Simulation in the Time Domain

多尺度问题是计算电磁学领域中的一个具有挑战性的问题。为了解决多尺度问题，需要具有低数值色散的求解器，因为可以采用相对较大的单元。在这项研究中，我们注意到约束插值轮廓基集（CIP-BS）方法，这是已知的求解器与低数值色散，并开发特定的技术来解决各种电磁问题。我们实现了CIP-BS方法的完全匹配层，并在均匀介质中连续，并开发了总场/散射场边界条件。

Multi-scale problems are challenging ones in the field of computational electromagnetics. In order to attack the multi-scale problems, solvers with low numerical dispersion are demanded because relatively large cells can be adopted. In this study, we pay out attention to the constrained interpolation profile basis set (CIP-BS) method which is known as a solver with low numerical dispersion, and develop particular techniques necessary to solve various electromagnetic problems. We have implemented the perfectly matched layer to the CIP-BS method and continuously inhomegeneous media, and developed the total-field/scattered-field boundary conditions.