用有限差分法分析列车对隧道中电磁波传播特性的影响  

Transmission characteristic of electromagnetic wave in the train-tunnel by finite difference method

作　　者：刘玲丽[1] 郑勤红[1] 姚斌[1] 帅春江[1] 张学庆[1] 

机构地区：[1]云南师范大学物理与电子信息学院,云南昆明650092

出　　处：《云南师范大学学报（自然科学版）》2006年第3期28-32,共5页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：国家自然科学基金(10365002);云南省自然科学基金(2004A0028M);云南省教委自然科学基金(03Z321A)资助项目

摘　　要：文章推导出复杂边界条件下二维Helmholtz方程的差分公式,实例分析了列车对矩形隧道和半圆形隧道中电磁波截止频率的影响、列车-矩形隧道中主模的衰减常数。实例计算结果表明:有限差分法的计算结果与有限元法计算结果完全一致,有限差分法是分析列车-隧道中电磁波传播问题的一种有效方法。In this paper, the difference formula of two--dimensional Helmholtz equation associated with the complicated boundary shape is derived, the effect of the train to the cutoff frequency of the rectangular-tunnel and semicircle-tunnel, and the dominant mode attenuation coefficient in train-tunnel are presented. The comparison of the results calculated by the finite difference method and the finite element method is given to validate the accuracy and efficiency of finite difference method. It has been shown that the finite difference method is an effective approach for the analysis of the electro magnetic wave transmission characteristics in the train-tunnel.

关 键 词：有限差分法 截止频率 衰减常数 隧道 

分 类 号：O451[理学—无线电物理]