大学物理 ›› 2018, Vol. 37 ›› Issue (8): 58-64.doi: 10.16854 /j.cnki.1000-0712. 70403

• 大学生园地 • 上一篇    下一篇

高频波在匀速圆周运动状态下的多普勒效应

柯伟,王成,郭振平   

  1. 延边大学理学院物理系,吉林延吉133002
  • 收稿日期:2017-07-07 修回日期:2018-03-22 出版日期:2018-08-20 发布日期:2018-08-20
  • 通讯作者: 郭振平,E-mail:gzpllwl@ ybu.edu.cn
  • 作者简介:柯伟(1996—),男,江西九江人,延边大学理学院物理系2014 级本科生.
  • 基金资助:
    国家自然科学基金资助项目(10864008) ;高等学校力学课程教学研究项目(JZW-17-LX- 02) ;吉林省高等教育学会重点课题 (JGJX2015B7) ;吉林省教育科学规划课题(GH150040)资助

Doppler effect of high frequency wave on uniform circular motion

KE Wei,WANG Cheng,GUO Zhen-ping   

  1. Department of Physics,College of Science,Yanbian University,Yanji,Jilin 133002,China
  • Received:2017-07-07 Revised:2018-03-22 Online:2018-08-20 Published:2018-08-20

摘要: 根据匀速圆周运动特征,分别讨论了波源固定、观察者运动,波源运动、观察者固定以及波源和观察者都运动等三 种不同运动状态下的高频波多普勒效应.并且推广至二者不在同一圆周上运动及不同的运动方向等情况,推导出了在不同的 相对运动状态下接收波的频率公式.研究表明,匀速圆周运动状态下,接收波的频率是周期性变化的,接收波频率的变化与波 源和观察者的角速度差绝对值相关;而接受波频率的极值大小受角速度差绝对值、观察者运动半径、波速的影响,但影响效果 会有所区别;而极值点位置受波源运动半径的影响.

关键词: 多普勒效应, 匀速圆周运动, 高频波, 波源, 观察者

Abstract: According to the characteristics of uniform circular motion,the Doppler effect of high frequency wave for three different motion states,such as wave source fixation and observer movement,wave source motion and observer fixation,both wave source and observer movement,are discussed,respectively.The generalization of both wave source and observer move in different circle and direction of different circular motion is derived in different relative motion state to receive the wave frequency formula.The results show that the frequency of the received wave is periodically changed in the uniform circular motion state,and the frequency of the received wave's frequency change is positively correlated with the absolute value of the angular velocity difference of the wave source observer. The magnitude of the received wave frequency is affected by the angular velocity difference,the absolute value,the observer's radius of motion and the wave velocity,but the effect is different,while the extreme point position is affected by the wave source radius of motion.

Key words: Doppler effect, uniform circular motion, high frequency wave, wave source, observe