大学物理 ›› 2024, Vol. 43 ›› Issue (04): 5-.doi: 10.16854/j.cnki.1000-0712.230133

• 教学研究 • 上一篇    下一篇

类比思维在时间多层介质光传输理论构建中的应用

  

  1. 安徽理工大学力学与光电物理学院,安徽  淮南232001
  • 收稿日期:2023-04-07 修回日期:2023-07-25 出版日期:2024-06-17 发布日期:2024-06-24
  • 作者简介:吴宏伟(1987—),男,安徽定远人,安徽理工大学副教授,博士,从事声、光人工微结构与超构材料研究.E-mail:hwwu@aust.edu.cn
  • 基金资助:
    安徽省质量工程项目(2021xskc017)、国家自然科学基金项目(11904008)以及中国博士后科学基金项目(2019M662132)资助

Application of analogical thinking in constructing light transmission theory of temporal multilayer media

WU Hong-wei, CHEN Xue, SHENG Zong-qiang   

  1. School of Mechanics and Photoelectric Physics, Anhui University of Science and Technology, Huainan,Anhui 232001, China
  • Received:2023-04-07 Revised:2023-07-25 Online:2024-06-17 Published:2024-06-24

摘要: 《光学原理》作为光学和物理学专业研究生的经典教科书,详细地介绍了多层空间介质理论与传输矩阵的计算方法. 鉴于时、空的二元性,本文主要通过类比空间多层介质材料,阐述光在材料参数随时间变化的时间多层介质中的传播特性,并推导时间多层介质中的传输矩阵形式. 最后,通过对比时间周期性多层介质的动量带结构和空间周期性多层介质的能带结构和传输系数,深入讨论时间与空间多层介质之间的联系与区别,展现类比思维在研究生创新能力培养中的作用.

关键词: 类比思维, 时间多层介质, 传输特性

Abstract: The multilayer media theory and the transmission matrix method are introduced in detail in Principles of Optics, which is a classic textbook for graduate students majoring in optics and physics. Due to the duality of time and space, in this paper, the propagated characteristics of light in the temporal multilayer media whose material parameters change with time is mainly expounded and the form of transmission matrix in the temporal multilayer media is deduced. Finally, by comparing the transmitted and reflected coefficients of temporally periodic multilayer media and spatially periodic multilayer media, the connection and difference between them are deeply discussed. 

Key words: analogical thinking, temporal multilayer media, propagated characteristics