关于FDTD中驻波行-波边界条件的再讨论

Further Discussion on Standing-Traveling Wave Boundary Condition for FDTD

驻波 行波边界条件 (STWBC)是一种新近提出的概念清晰、实现简便的吸收边界条件。本文对STWBC的误差来源和适用范围作了进一步研究 ,说明STWBC的思想是正确、新颖的 ,其难点在于如何减小差分实现时产生的误差。同时 ,分别针对一维和二维情况 ,从理论上分析了原一阶STWBC迭代式的误差来源 ,并提出了二阶STWBC迭代式。

Standing traveling wave boundary condition (STWBC), clear in concept and easy t o implement, is a newly proposed absorbing boundary condition. In this paper, th e STWBC is discussed again according to its errors and limitation in application . It is proved that the basic theory of the novel STWBC is correct; the only que stion is how to reduce the differential error when applying the STWBC. At the sa me time, the error mechanisms of the original one order iterative equation for STWBC are analyzed theoretically in one dimensional and two dimensional spaces respectively, and a second order iterative equation is put forward.