三维频散介质中地质雷达信号的FDTD数值模拟

三维频散介质中地质雷达信号的FDTD数值模拟

刘四新,曾昭发,徐波

吉林大学地球探测科学与技术学院，长春 130026

收稿日期:2005-03-10 修回日期:1900-01-01 出版日期:2006-01-26 发布日期:2006-01-26
通讯作者: 刘四新

FDTD Simulation of Ground Penetrating Radar Signal in 3-Dimensional Dispersive Medium

LIU Si-xin, ZENG Zhao-fa, XU Bo

College of GeoExploration Science and Technology, Jilin University, Changchun 130026, China

Received:2005-03-10 Revised:1900-01-01 Online:2006-01-26 Published:2006-01-26
Contact: LIU Si-xin

摘要/Abstract

摘要： 考虑频散介质的电磁波传播，引入随频率变化的电位移矢量D，并对电场强度E和电位移D进行标准化。开发出一种计算介电常数随频率变化满足Debye关系的频散介质中麦克斯韦方程的时间域有限差分（FDTD）解法，并编写了相应的计算原代码。在边界部分引入假象的介电常数和磁导率，实现了边界的无反射吸收，避免了Berenger完全匹配层中场分裂过程，提高了计算效率。计算实例可以看出频散介质中波的传播情况。

关键词: 地质雷达, 麦克斯韦方程, 时间域有限差分, 频散介质

Abstract: To study propagation characteristic of radar wave in a dispersive medium, frequencydependent flux density D was introduced, and electromagnetic field E and flux density D were normalized. A finite difference time domain (FDTD) algorithm is developed to solve Maxwell’s equation in a dispersive medium, in which the dielectric constant varies with frequency and Debye relationship is satisfied. Assumed dielectric constant and magnetic permeability were introduced to realize the nonreflectively absorbing, which avoids the split of wave components in normal Berenger PML. Simulated example illustrates the wave propagation in a dispersion medium.

Key words: ground penetrating radar, Maxwell’s equations, finite difference time domain, dispersive medium

中图分类号:

P631.325

刘四新,曾昭发,徐波. 三维频散介质中地质雷达信号的FDTD数值模拟[J]. J4, 2006, 36(01): 123-0127.

LIU Si-xin, ZENG Zhao-fa, XU Bo. FDTD Simulation of Ground Penetrating Radar Signal in 3-Dimensional Dispersive Medium[J]. J4, 2006, 36(01): 123-0127.

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