拡張特性法を用いた線路解析の安定性および収束性の解析

摘要

The Extended Method of Characteristics improves the conventional characteristic method to enlarge time interval. The stability of the Extended Method of Characteristics is analyzed, and it is confirmed that it is unconditionaly steable. Moreover, it is derived that the phase error of Extended Method of Characteristics is fewer than that of the ADI-FDTD method which is unconditionaly steable. In addition, the convergence of Extended Method of Characteristics are investigated, and they are similar to that of the FDTD method.%線路解析に用いる特性法を改良して時間刻みを大きくできるようにした拡張特性法の安定性解析を行い，無条件安定であることを確かめている.また，同じく無条件安定なADI-FDTD法より位相誤差が少ないことを導いている.更に収束性の検討を行い，FDTD法と同等であることを明らかにしている.