大学物理 ›› 2023, Vol. 42 ›› Issue (11): 1-.doi: 10.16854/j.cnki.1000-0712.230051

• 教学研究 •    下一篇

波动方程在界面的衔接问题

杨师杰   

  1. 北京师范大学 物理学系,北京100875
  • 收稿日期:2023-02-21 修回日期:2023-04-07 出版日期:2023-12-01 发布日期:2023-12-07
  • 作者简介:杨师杰(1966—),男,湖南资兴人,北京师范大学物理学系教授,博士,主要从事凝聚态物理理论研究工作. E-mail: yangshijie@bnu.edu.cn

Connective problems of the wave equation at interfaces

YANG Shi-jie   

  1. Department of Physics, Beijing Normal University, Beijing 100875, China
  • Received:2023-02-21 Revised:2023-04-07 Online:2023-12-01 Published:2023-12-07

摘要: 本文研究在不连续介质中波动方程的本征模及其背后的物理机制,探讨波在界面的反射和透射规律,揭示了在特定参量条件下机械波发生全透射的效应,这一效应可能会在吸波材料中有应用价值.

关键词: 波动方程, 界面, 本征模, 半波损, 全透射

Abstract: The paper investigates eigen modes of the wave equation in discontinuous media and explores the underlying physical mechanism. We also study the reflection and transmission of wave at the interface and reveal a full transmission effect under specific physical conditions. This effect may find applications in wave-absorptive materials.

Key words:  wave equation, interface, eigen mode, half-wave loss, full transmission