电磁波在运动介质表面上半波损失的消失现象
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摘要
本文讨论了考虑相对论效应时电磁波在运动介质表面上半波损失的消失现象。利用相对论四维波矢量的洛伦兹变换关系,导出电磁波在运动介质界面上波矢和频率的关系以及反射波和入射波的振幅比;给出了入射波和反射波的振幅比与入射角度之间的数值关系模拟,并由此讨论沿介质界面运动和垂直于介质界面运动两种方式下反射波的半波损失是否存在。结果发现:在考虑相对论效应的情况下,当介质运动速度接近光速时,电磁波在运动介质界面上的反射不存在半波损失。
The problem of the disappearance of half wave loss in the relativistic cases is mainly analyzed in this paper.Making use of the relativistic Lorentz transformation of four-vector,the relation between wave vector and the frequency of electromagnetic plane wave is provided,as well as the amplitude ratio between reflected wave and incident wave.For two different modes of motion,namely the media moving parallel or perpendicular to the interface,the half wave loss was analyzed.The results show that the electromagnetic reflected wave has no half wave loss phenomena in the relativistic cases in which the velocity of moving media approximates to the velocity of light.
The problem of the disappearance of half wave loss in the relativistic cases is mainly analyzed in this paper.Making use of the relativistic Lorentz transformation of four-vector,the relation between wave vector and the frequency of electromagnetic plane wave is provided,as well as the amplitude ratio between reflected wave and incident wave.For two different modes of motion,namely the media moving parallel or perpendicular to the interface,the half wave loss was analyzed.The results show that the electromagnetic reflected wave has no half wave loss phenomena in the relativistic cases in which the velocity of moving media approximates to the velocity of light.
引文
[1]胡友秋,程福臻.电磁学与电动力学[下册][M].2版.北京:科学出版社,2016.
[2]郭硕鸿.电动力学[M].3版.北京:高等教育出版社,2011.
[3]YEH C,CASEY K F.Reflection and transmission of electromagnetic waves by a moving dielectric slab[J].Journal of Applied Physics,1965,36(11):3513-3517.
[4]NOBLE W J,ROSS C K.The reflection and transmission of electromagnetic waves by a moving dielectric slab.Ⅰ.Solution in the Moving Frame[J].American Journal of Physics,1969,37(12):1249-1253.
[5]NOBLE W J,ROSS C K.The reflection and transmission of electromagnetic waves by a moving dielectric slab.Ⅱ.Solution in a Fixed Frame[J].American Journal of Physics,1969,37(12):1253-1257.
[6]贺奇才,黄耀熊.平面电磁波在任意方向运动的介质-介质界面上的反射和透射[J].物理学报,1999,48(6):1044-1051.HE Q C,HUANG Y X.The general solution fro the problem of a plane electromagnetic wave reflected and transmitted from the interface between a stationary dielectric medium and a dielectric medium moving in an arbitryry direction[J].Acta Physica Sinica,1999,48(6):1044-1051.(in Chinese)
[7]刘宝林,袁建生.平面电磁波在运动薄板上的反射与透射[J].清华大学学报(自然科学版),1999,39(9):44-46.LIU B L,YUAN J S.Reflection and transmission of plane electromagnetic waves on a moving thin large conducting plate[J].Journal of Tsinghua University(Science and Technology),1999,39(9):44-46.(in Chinese)
[8]窦新旺,曹富涵.平面电磁波在运动介质界面上的反射、折射及其应用[J].河南教育学院学报(自然科学版),2003,12(2):29-31.DOU X W,CAO F H.Reflection and refraction of plane electromagnetic waves by moving medium interfaces[J].Journal of Henan institute of Education(Natural Science),2003,12(2):29-31.(in Chinese)
[9]刘燕.电磁波在运动媒质表面的反射和折射[J].云南师范大学学报,1998,14(2),34-38.LIU Y.Reflection and refraction of electromagnetic waves on moving medium interfaces[J].Journal of Yunnan Normal University,1998,14(2):34-38.(in Chinese)
[2]郭硕鸿.电动力学[M].3版.北京:高等教育出版社,2011.
[3]YEH C,CASEY K F.Reflection and transmission of electromagnetic waves by a moving dielectric slab[J].Journal of Applied Physics,1965,36(11):3513-3517.
[4]NOBLE W J,ROSS C K.The reflection and transmission of electromagnetic waves by a moving dielectric slab.Ⅰ.Solution in the Moving Frame[J].American Journal of Physics,1969,37(12):1249-1253.
[5]NOBLE W J,ROSS C K.The reflection and transmission of electromagnetic waves by a moving dielectric slab.Ⅱ.Solution in a Fixed Frame[J].American Journal of Physics,1969,37(12):1253-1257.
[6]贺奇才,黄耀熊.平面电磁波在任意方向运动的介质-介质界面上的反射和透射[J].物理学报,1999,48(6):1044-1051.HE Q C,HUANG Y X.The general solution fro the problem of a plane electromagnetic wave reflected and transmitted from the interface between a stationary dielectric medium and a dielectric medium moving in an arbitryry direction[J].Acta Physica Sinica,1999,48(6):1044-1051.(in Chinese)
[7]刘宝林,袁建生.平面电磁波在运动薄板上的反射与透射[J].清华大学学报(自然科学版),1999,39(9):44-46.LIU B L,YUAN J S.Reflection and transmission of plane electromagnetic waves on a moving thin large conducting plate[J].Journal of Tsinghua University(Science and Technology),1999,39(9):44-46.(in Chinese)
[8]窦新旺,曹富涵.平面电磁波在运动介质界面上的反射、折射及其应用[J].河南教育学院学报(自然科学版),2003,12(2):29-31.DOU X W,CAO F H.Reflection and refraction of plane electromagnetic waves by moving medium interfaces[J].Journal of Henan institute of Education(Natural Science),2003,12(2):29-31.(in Chinese)
[9]刘燕.电磁波在运动媒质表面的反射和折射[J].云南师范大学学报,1998,14(2),34-38.LIU Y.Reflection and refraction of electromagnetic waves on moving medium interfaces[J].Journal of Yunnan Normal University,1998,14(2):34-38.(in Chinese)