大学物理 ›› 2018, Vol. 37 ›› Issue (7): 73-77.doi: 10. 16854 /j. cnki. 1000-0712. 170622

• 大学生园地 • 上一篇    下一篇

干涉法测量重力加速度

胡梦楠,李红蕙,白在桥   

  1. 北京师范大学物理学系,北京100875
  • 收稿日期:2017-11-15 修回日期:2018-03-19 出版日期:2018-07-20 发布日期:2018-07-20
  • 通讯作者: 白在桥,E - mail: baizq@ bnu. edu. cn
  • 作者简介:胡梦楠( 1996—) ,女,河北邢台人,北京师范大学物理学系2014 级本科生.
  • 基金资助:
    北京市教改项目( 2015 - ms060) 资助

Measurement of gravitational acceleration via laser interferometr

HU Meng-nan,LI Hong-hui,BAI Zai-qiao   

  1. Department of Physics,Beijing Normal University,Beijing 100875,China
  • Received:2017-11-15 Revised:2018-03-19 Online:2018-07-20 Published:2018-07-20

摘要: 利用大学物理教学实验仪器搭建了一个干涉法测量重力加速度的装置. 在迈克耳孙干涉仪光路中,将动镜平置于 吸入式电磁铁移动杆的顶端. 电磁铁线圈通电后移动杆被快速吸回,使动镜自由下落. 用示波器记录下落过程中的干涉光强 信号,利用局部正弦曲线拟合可得到远小于半波长的位移分辨率. 利用二次函数拟合位移- 时间曲线,得到重力加速度. 根据 多次测量10 ms( 位移约0. 5 mm) 的下落数据,得到北京地区重力加速度为9. 803 ± 0. 003 m/s2 .

关键词: 重力加速度, 迈克耳孙干涉仪, LabVIEW

Abstract: A laser interferometer to measure gravitational acceleration is built from low cost college laboratory apparatus. The device is basically a Michelson interferometer,in which the movable mirror is placed horizontally on the flat end of the plunger of an electromagnet. When the electromagnet coil is energized,the plunger will be quickly sucked back,leaving the movable mirror fall freely in air. At the stage of falling,the interference light intensity is recorded by an oscilloscope,and by fitting the signal with local sine waves,position of the movable mirror can be obtained at a precision much higher than the half wavelength of the laser. Finally,gravitational acceleration is extracted from the displacement - time curve of the movable mirror by a quadratic fitting. By using the data of 10 ms falling,which corresponds to displacement about 0. 5 mm,repeatable result of the gravitational acceleration in Beijing is obtained as 9. 803 ± 0. 003 m /s2 .

Key words: gravitational acceleration, Michelson interferometer, LabVIEW