大学物理 ›› 2019, Vol. 38 ›› Issue (5): 15-.doi: 10.16854 /j.cnki.1000-0712.180256

• 教学研究 • 上一篇    下一篇

零折射率材料平板的透射特性研究

高华,魏果果,刘美晴,郭晓彤,王艺璇,张强   

  1. 1.中国地质大学( 北京) 数理学院,北京100083; 2.首都师范大学物理系,北京100048; 3.北京市铁路第二中学,北京100045
  • 收稿日期:2018-04-27 修回日期:2018-10-30 出版日期:2019-05-20 发布日期:2019-06-10
  • 作者简介:高华( 1978—) ,女,湖北枣阳人,中国地质大学( 北京) 数理学院副教授,博士,主要从事大学物
  • 基金资助:
    国家自然科学基金( 11504336) ; 中央高校基本科研业务费项目; 中国地质大学( 北京) 大学生创新实践项目资助

Optical transmission properties of a zero index material plate

GAO Hua1,2,WEI Guo-guo1,LIU Mei-qing1,GUO Xiao-tong1,WANG Yi-xian1,ZHANG Qiang3   

  1. 1.School of Science,China University of Geosciences Beijing,Beijing 100083,China; 2.Department of Physics,Capital Normal University,Beijing 100048,China; 3.Beijing Railway No. 2 Middle School,Beijing 100045,China
  • Received:2018-04-27 Revised:2018-10-30 Online:2019-05-20 Published:2019-06-10

摘要: 零折射率材料是近几年发展起来的一种新型超构材料.它性质奇特,应用广泛,不仅活跃在科研前沿,也很值得推

介到物理课堂.本文从经典电动力学出发,理论分析并数值模拟了零折射率材料内部电场、磁场的分布特性,以及零折射率

材料平板的电磁透射特性.结果表明: 对于双零折射率材料的平板,在与空气阻抗匹配的条件下,其透过率不随平板厚度的

变化而变化,大小始终保持为1; 而单零折射率材料的平板的透过率随着平板厚度的增加而减小.文章进一步分析了产生这

两种特殊透射特性的原因.研究结果对于理解零折射率材料的特性以及设计零折射率材料的功能器件有很好的指导意义

和参考价值.

关键词: 零折射率材料, 狄拉克锥光子晶体, 赝扩散, 透过率

Abstract: The zero-index material ( ZIM) is a new type of meta-material,which is flourishing in recent years.

It has unique properties and wide applications,as a result,it is not only active in the frontiers of scientific research

and also worth being recommended to physics classes. In this paper,the electromagnetic properties inside the ZIMs

and the transmission characteristics of a ZIM plate are theoretically analyzed by using the classical electrodynamics

and numerically simulated by using a commercial software. The results show that,as a double ZIM plate, if the

impedance is matched with that of the free space, its transmittance is independent of the thickness of the plate,the

value is always maintained at 1; while for a single ZIM plate, its transmittance decreases with the increase of the

thickness. The reasons for these two special transmission characteristics are further analyzed. These results have a

guiding significance and reference value for understanding the characteristics of the ZIMs and designing the

functional devices using the ZIMs.

Key words: zero-index material, Dirac cone photonic crystal, pseudo-diffusive transmission, transmittance