大学物理 ›› 2022, Vol. 41 ›› Issue (5): 74-.doi: 10.16854 /j.cnki.1000-0712.210347

• 大学生园地 • 上一篇    下一篇

基于高斯声束模型解释水中声速测量异常现象

王可欣,周诗韵   

  1. 复旦大学 物理学系,上海 200433
  • 收稿日期:2021-07-22 修回日期:2021-09-10 出版日期:2022-05-20 发布日期:2022-05-11
  • 通讯作者: 周诗韵,E-mail:zhoushiyun@fudan.edu.cn.
  • 作者简介:王可欣(1999—),女,江西南昌人,复旦大学物理学系2017级本科生.
  • 基金资助:
    复旦大学2021年本科教学研究与改革实践项目(FD2021A114)资助

Explanations of abnormal phenomena in the measurement of sound  velocity in water based on Gaussian beam model

WANG Ke-xin,ZHOU Shi-yun   

  1. Department of Physics,Fudan University,Shanghai 200433,China
  • Received:2021-07-22 Revised:2021-09-10 Online:2022-05-20 Published:2022-05-11

摘要: 测量水中声速时,随着接收、发射换能器的间距增大,会出现接收声压的极大值先增后减的异常现象,且该异常增长的曲线特征与水位有关.本文通过多元高斯声束叠加的方法模拟了圆形换能器的发散声场,并利用虚声源模型,推导出接收声压与距离的解析关系式,相应的数值计算复现了水中声压幅值非单调变化的异常现象,并证实其主要来源是水中声场在水-空气界面和水-水槽壁处的反射,水面高度对异常模式的影响也被计算证实.

关键词: 声速测定, 共振干涉法, 声压异常现象, 多元高斯声束, 虚声源法

Abstract: In the measurement of sound velocity in water,abnormal phenomenon appears that the magnitude of locally maximum of sound pressure on the receiving transducer increases as the receiver moves away from the emission transducer,which differs from the prediction of ideal model and conflicts with the common sense of attenuation in water.Furthermore,the relationship of the locally maximum pressure and the distance between two transducers depends on the height of water in the tank.To solve the myth above,the superposition of Gaussian beams and the method of image sources are applied.Equipped with the analytic expression of the relationship between the pressure and the distance,numerical simulation reproduces the non-monotonic decreasing as seen in the experiment,thus the speculation that the reflection on the interface of water-air and water-tank contributed to such phenomena is verified.

Key words: measurement of sound velocity, resonance interference method, abnormal phenomena of sound pressure, the superposition of Gaussian beams, the method of image sources