教学讨论

一般多普勒效应的综合统一分析

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  • 山东科技大学电子信息工程学院,山东 青岛266590
周强(1964—),男,山东济南人,山东科技大学电子信息工程学院副教授,主要从事大学物理教学与电磁场的研究工作.

收稿日期: 2023-02-16

  修回日期: 2023-04-04

  网络出版日期: 2023-12-08

基金资助

山东科技大学教育教学研究"群星计划"项目(QX2020M43;QX2021ZKT03)资助

The comprehensive and unified analysis of the general Doppler effect

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  • College of Electronic and Information Engineering, Shandong University of 
    Science and Technology, QingdaoShandong 266590, China

Received date: 2023-02-16

  Revised date: 2023-04-04

  Online published: 2023-12-08

摘要

在物理学教材中分别给出了声波和光波的多普勒效应公式,但两者表达式不同.一些文献分析了两者间的联系,但没有真正地将两者统一起来;另一些文献虽作了统一分析,但均在特殊洛伦兹变换下讨论问题,所得结果又不具有一般性.本文在不区分声波与光波的情况下,基于波动传播的共同本质,综合运用多种方法导出一般多普勒效应的表达式,系统地论证两者的统一性.通过分析得到了一般多普勒效应的3个等价表达式,而教材中声波与光波的多普勒效应公式乃是其不同情况下的特例.

本文引用格式

周强, 刘静, 李鹏 . 一般多普勒效应的综合统一分析[J]. 大学物理, 2023 , 42(11) : 8 . DOI: 10.16854/j.cnki.1000-0712.230047

Abstract

The Doppler effect formulae of sound wave and light wave are given respectively in physics textbooks, but the two expressions are different. Some literatures analyze the connection between the two, but it does not really unify the two; although other literatures are uniformly analyzed, but they are all discussed based on the special Lorentz transformation, and the results are not general. In this article, without distinguishing between sound wave and light wave, based on the common essence of wave propagation, the expressions of the general Doppler effect are derived by multiple methods to systematically demonstrate the unity of the two. Though analysis, three equivalent formulae of the general Doppler effect are obtained, and the Doppler effect formulae of sound wave and light wave in physics textbooks are special cases of different situations.

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