摘要
角点条件是时域有限差分法(FDTD)的重要组成部分。提出了一种新的角点条件,其基本原理是:角点场值和角点附近其他节点场值存在一定的关系,利用线性插值可以找到这种关系,进而可以用角点附近其他节点场值计算角点场值。给出了二维和三维情形时的角点场值计算公式。这种角点条件的优点是公式简单,而且易于程序实现。数值实验表明这种角点条件的吸收效果和常用的Mur角点条件的吸收效果非常接近。
The vertex condition is an important constituent part of the Finite Difference Time Domain(FDTD) method. A new vertex condition is brought forward. Its fundamental principle is that the field value of a vertex is relevant to the field values of the knots near the vertex,and the relationship equation about the field values can be obtained by using linear interpolation. Then the field value of the vertex can be calculated based on the field values of the knots near the vertex according to this relationship equation. The computational formulas of the field values of the vertexes are given for 2-D and 3-D cases. The advantages of the vertex condition are that the computational formulas are simple and can be programmed easily. The numerical experiments indicate that the absorbing effects of the vertex condition are very close to that of Mur vertex condition.
出处
《太赫兹科学与电子信息学报》
2014年第2期252-255,共4页
Journal of Terahertz Science and Electronic Information Technology
基金
国家自然科学基金资助项目(60972101)
关键词
时域有限差分法
吸收边界条件
角点
插值
Finite Difference Time Domain method
Absorbing Boundary Condition(ABC)
vertex
interpolation
