计算电磁学中的时域方法
第1讲 FDTD介绍
赵勋旺 张玉
电子工程学院
计算电磁学
计算电磁学
本讲纲要
FDTD的发展简单回顾
FDTD的应用介绍
FDTD的算法发展趋势(Allen Taflove)
FDTD的基本概念
1.1 FDTD的发展简单回顾
• 2nd-order accurate
central space
differences
• 2nd-order accurate
leapfrog time-
stepping
• Absorbing boundary
condition at edge of
the space lattice
The Classic FDTD Algorithm
1.1 FDTD的发展简单回顾
FDTD Literature Database* www.fdtd.org
As of Oct. 22, 2002, the total number of entries in this
NSF/ONR - sponsored database was 4793.
Breakdown:
— Books: 9
— Ph.D. dissertations: 162
— Masters theses: 68
— Journal articles: 2549
— Conference proceedings: 1951
— Technical reports: 15
— Miscellaneous publications: 39
*Maintained by John Schneider, Washington State University
1.1 FDTD的发展简单回顾
Why FDTD is Popular
• It is conceptually simple and systematic.
• It is accurate and robust.
• It uses no linear algebra.
• It treats impulsive behavior naturally.
• It treats nonlinear behavior naturally.
• It readily allows multi-physics simulations.
• Personal computer capabilities have caught up with
the requirements of FDTD for a wide range of
important engineering and physics modeling problems.